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Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 1
Gaurav Burhade’s
STRUCTURE ACADEMY
UNIT I: COPLANAR FORCES
Type I-‘R’ of more than two forces:
1. In a member ABCD, AB=1m, BC=1m, CD=4m, Force at A=20N acting vertically upwards,
at B=20N acting vertically downwards , at C=30N acting vertically upwards and at D=40N
acting vertically upwards. Resultant of the force system is
a) 110N b) 90N c) 20N d) 70N
2. A pulley of diameter AB = 200 mm is subjected to equal unlike parallel forces of 2000 N
one at A and other at B tangentially. A third force of 500 N acts through centre of pulley
at 450 The resultant force will be
a) 2500N at 135 degrees
b) 500N at 450
c) 4500N at 450
d) 2000 N at 450
3. Forces 160.5N horizontal and 173.5N vertical represents components of resultant then
the angle made by the resultant with vertical is
a) 42.77° b) 45° c) 47.22° d) 4.77°
4. Three forces P = 120 N (towards East), Q = 200 N (towards North), and R = 150 N (towards
South), are acting on the member, their resultant is nearer to
a) 120N b) 200N c) 130N d) 50N
5. Three forces P = 50 N (towards East), Q = 100 N (towards North), and R = 75 N (towards
South), are acting on the member, their resultant is nearer to
a) 55.9 N b) 65.9 N c) 75.9 N d) 85.9 N
6. Find resultant of forces when two like parallel forces of 40N and 70N which act at the
ends of the rod 40cm long
a) 110N b) 50N c) 30N d) 160N
7. The forces acting on a square plate 10m side are as under 1)AB = 10 N, A(1,2) and B(3,3)
2) CD=15N, C(0,1) and D(-3,3) 3) EF=20N, E(-2,0) and F(-1,-3) 4) GH=25N, G(1,-2) and
H(3,0). The resultant of the force system is nearer to
a) 34.22N b) 23.47N c) 28.41N d) 51.71N
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8. If the forces 1N, 2 N, 3 N, 4N, and 5 N act in order along the sides of a regular pentagon &
1 N force acting horizontally towards right, then the resultant is nearer to
a) 3N b) 4.75N c) 6N d) 4.25N
9. Forces 50 N, 100 N, and 150 N act along sides of a equilateral triangle taken in order.
Their resultant force is nearer to
a) 0 N b) 67.66N c) 86.67N d) 300N
10.For a straight rod ABC, AB=2m, BC=4m and forces acting are as
1) at A 40N along positive x axis.
2) at B 120N at an angle 50 degrees with negative x axis in anticlockwise direction 3) At C
60 N upwards. Their resultant force is nearer to
a) 3.78N b) 5.21N c) 4.89N d) 6.33N
11.Forces acting tangentially on a circle of 2m radius are 1) 10 N acting North 2) 20 N acting
NE 3) 30 N acting SE 4) 40 N acting south .Their resultant force is nearer to
a) 65. 35N b) 55 N c) 40N d) 51.22 N
12.Forces 10 N, 20 N, 30 N and 40 N acts along sides of a rectangle PQ, QR, RS, SP. Their
resultant force is nearer to
a) 28.28 N b) 40N c) 100N d) 32.32N
13.If the forces 10N, 20 N, 30 N, 40N, 50N and 60N acts in order along the sides of a regular
hexagon & 10 N force acting horizontally towards right, then the resultant is nearer to
a) 50.55 N b) 60N c) 86.67N d) 70.70N
14.Three forces 10 N, 20 N, and P N act along sides of a equilateral triangle taken in order.
10N force acting horizontally towards right. Their resultant force is 17.32N and angle 30
degrees with negative x axis in anticlockwise direction. The magnitude of the force P is
nearer to
a) 10N b) 17.32N c) 30N d) 21.42N
15.Four Forces 100N, 200N, 300N and P acting along sides of a rectangle in cyclic order. 100
N force is acting horizontally towards right. Their resultant is 282.8 N (in 3rd quadrant).
The magnitude of the force P is nearer to
a) 300N b) 400N c) 325.7N d) 378.25N
16.Four forces 25 N, 50 N, P and Q are acting along sides of a rectangle taken in order. 25N
force acting horizontally towards right. Their resultant force is 200N acting vertically
downward. The magnitude of the force P and Q are nearer to
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a) 150N, 25N b) 50N, 100N c) 100N, 50N d) 25N,150N
17.A square PQRS of side 1.5m is acted by forces 100N, 200N, 300N and 400N along the
sides taken in order. The 100N force acts horizontally towards right. Their resultant force
is nearer to
a) 330N b) 282.80N c) 400N d) 250N
18.A bent up bar ABC such that AB= 3m, BC= 1m, and angle ABC is 90 degrees. The forces
acting on it are 1) At A 40 N at an angle 30 degree with positive x axis in anticlockwise
direction 2) At B 20 N towards negative x axis 3) At C 10 N towards positive x axis. Their
resultant force is nearer to
a) 33.74N b) 36.73N c) 42.70N d) 31.73N
19.Forces 15N, 25N, 35N, 45N, and 50N act along & in the direction AB, AD, CB, CD, and
BD of a square ABCD & 15 N force acting horizontally towards right. Their resultant force
is nearer to
a) 54.1N b) 63.40N c) 70.10N d) 60.54N
20.A horizontal bar ABCD is such that AB=BC=CD= 1.5 m carries the loads as 1) At A 10 N
towards positive x axis 2) At B 30 N at an angle 40 degrees with negative x axis in
clockwise direction 3) At C 45 N at an angle 50 degrees with positive x axis in
anticlockwise direction 4) At D 55N towards Positive x axis. Their resultant force is nearer
to
a) 77.45N b) 89N c) 98.12N d) 63.40N
21.The forces 1N, 2 N, 3 N, 4N, 5N and 6N act in order along the sides of a regular hexagon.
1 N force acting horizontally towards right, then the resultant is nearer to
a) 0 N b) 6 N c) 12 N d) 21N
22.Forces acting tangentially on a circle are 1) 4P N acting towards North 2) 3P N acting
towards West 3) 2P N acting towards South 4) P N acting towards East . Resultant force is
nearer to
a) 1.4P b) 2P c) 1.8P d) 2.83P
23.Three forces 10 N, 20 N, and P N act along sides of a equilateral triangle taken in order.
10N force is acting horizontally towards right. If resultant force acts vertically downward
then force P is nearer to
a) 30 N b) 15N c) 10N d) zero
24.The forces acting on lamina having coordinates of points are 1) from A to B 100N, A(2,3)
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and B(4,4) 2) from P to Q 150 N, P(1,0) and Q(3,0) 3) from R to S 125N, R(0,2) and S(0,4).
The resultant of the force system is nearer to
a) 279.40N b) 313.42N c) 293.50N d) 286.37N
25.Forces acting at points A, B, C, D tangentially on a circle taken in order anticlockwise are
1) 100 N acting towards North 2) P N acting towards West 3) 50 N acting towards South
4)125 N acting towards East respectively. If resultant force is 60 N in 1st quadrant. Find P
a) 87.45N b) 91.83N c) 103.42N d) 59.47N
26.Determine the inclination of resultant of force 100N at 0° and 200N at 90°.
a) 36.3° b) 63.435° c) 56.7° d) 186.3°
27.A horizontal rod WXY, WX=2m, XY=4m subjected to the loading as 1) At W 4 N towards
positive x axis 2) At X 12 N towards negative x axis 3) At Y 6 N upwards. Their resultant
force is
a) 14 N b) 2N c) 10 N d) 15 N
28.Four forces 50N, 100N, 110N, and 180N are acting along sides AB, BC, CD, and DA of a
square ABCD. Their resultant force is nearer to
a) 100N b) 110N c) 180N d) 50N
29.Three concurrent forces Q=100N, P=150N, F=150N act at point O. Q is along +ve x axis, P
is acting at an angle 45° in forth quadrant and F is acting in third quadrant at an angle
45°. Then their resultant is
a) 150N b) 300N c) 234.52N d) 100N
30.Four concurrent forces1kN, 2kN, 3kN and 4kN acting at an angle of 20°, 63°, 95°,150°
from positive x axis. Determine their resultant in kN.
a) 7.35 b) 4.35 c) 3.35 d) 2.25
31.Forces 10N, 20N, 30N & 40N acts along sides of rectangle PQ, QR,RS,SP respectively.
Then resultant force is given by
a) 28.28N b) 40N c) 48N d) 37N
32.Three forces 40N, 90N, 50N act along AB, BC, CA along sides of equilateral triangle in
anticlockwise direction, AB being horizontal. Calculate resultant of the force system.
a) 0 N b) 45.82 N c) 30 N d) 47 N
33.Two boys are pulling a box with the help of two cables. If the pull in the cables are 23 N,
at an angle of 40° and 35 N at an angle of 130° with +ve x axis, their resultant will be
a) 14.88 N b) 41.88 N c) 58 N d) 12 N
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Type II- ‘R’ of two concurrent forces (law of parallelogram):
34.When two equal forces are acting at 60° produce a resultant equal to 10(3)½, then find
out magnitude of each force
a) 10 b) 25 c) 20 d) 15
35.Two forces 5N and 7N act at a point on a body. The resultant when they act at right angle
is
a) (74)½ b) (60)½ c) 70½ d) 84½
36.Two forces 5N and 6N act at a point on a body. The resultant when they act at 45° is
a) 10.17 b) 11 c) 15 d) 13
37.If two forces of magnitude 5kN and 10kN act on a body , then their maximum resultant is
a) 25Kn b) 15kN c) 10kN d) 20kN
38.Two forces of magnitude 5N and 7N act at a point on a body. The square of the resultant
is three times the product of the forces. Then the angle between them is
a) 63.71° b) 60.71° c) 65.71° d) 55.71°
39.Two equal forces act on a body. The square of the resultant is three times the product of
the forces. Then the angle between them is
a) 120° b) 90° c) 60° d) 30°
40.If two forces of magnitude 10kN and 20kN act on a body , then their minimum resultant
is
a) 20kN b) 10kN c) 30kN d) 5kN
41.If two forces of magnitude 2P and 4P act at a point on a body , then their maximum
resultant is
a) 4P b) 6P c) 3P d) 8P
42.If the resultant is equal to half the magnitude of two equal forces, then the angle between
the forces is
a) 151.04° b) 140.5° c) 120° d) 100°
43.If two equal forces are acting at a right angle, having resultant force of (20)½ ,then find
out magnitude of each force.
a) (15)½ b) (5)½ c) (25)½ d) (10)½
44.If the resultant of two equal forces has the same magnitude, then the angle between them
is
a) 120° b) 60° c) 90° d) 50°
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45.Two forces 5N and 7N act at a point on a body. The resultant when they act at right angle
is
a) (74)½ b) (60)½ c) 70½ d) 84½
46.If two forces of magnitude 5kN and 10kN act on a body , then their maximum resultant is
a) 25kN b) 15kN c) 10kN d) 20kN
47.Two equal forces act on a body. The square of the resultant is two times the product of
the forces. Then the angle between them is
a) 120° b) 90° c) 60° d) 30°
48.Two forces 3N and 5N act at a point on a body. The resultant when they act at 45° is
a) (53.21)½ b) (50.12)½ c) (55.21)½ d) (45.21)½
49.If two forces of magnitude 10kN and 20kN act on a body , then their minimum resultant
is
a) 20kN b) 10kN c) 30kN d) 5kN
50.Two forces of magnitude P and 2P act at a point on a body. The square of the resultant is
three times the product of the forces. Then the angle between them is
a) 120° b) 90° c) 60° d) 30°
51.The angle between two forces ,when the resultant is maximum and minimum are
a) 180°and 0° b) 90° and 0° c) 0° and 180° d) 0° and 90°
52.If two forces of magnitude 2P and 4P act at a point on a body , then their maximum
resultant is
a) 4P b) 6P c) 3P d) 8P
53.If two forces of magnitude 7N and 8N act at 60° , then the resultant will be
a) 10N b) 15N c) 13N d) 16N
54.If two forces of magnitude P and 2P act on a body , then their minimum resultant is
a) 2P b) 3P c) P d) 4P
55.Two forces act an angle of 120°. If the greater force is 50 N and their resultant is
perpendicular to the smaller force, the smaller force is
a) 20 N b) 25 N c) 30N d) 35N
56.If the resultant of two forces (P+Q) and(P-Q) is(P²+Q²)½, then the angle between them is
given by
a) cos a=[-(P²+Q²/2(P²-Q²)]
b) cos a=(P²+Q²)
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c) cos a=(P²-Q²)
d) cos a=(P²+Q²+2PQ)
57.The square of the resultant of forces P1 and P2 with a angle 'D' between them is
a) P1²+P2²+2P1P2
b) P1²+P2²+2P1P2cos D
c) P1²+P2²-2P1P2
d) P1²+P2²
58.If two forces each equal to T in magnitude act at right angles, their effect may be
neutralized by a third force acting along their bi-sector in opposite direction whose
magnitude will be
a) 2 T b) T/2 c) √2T d) none of these
59.If the resultant is equal to 0.6 times the magnitude of two equal forces, then the angle
between the forces is nearer to
a) 145 b) 135 c) 120 d) 100
60.If two equal forces are acting at a right angle, having resultant force of (80)½ , then find
out magnitude of each force.
a) (15)½ b) (5)½ c) (25)½ d) (20)½
61.If two concurrent forces A and B acting on a point are 200 N and 300 N. What is the
magnitude of resultant force, if it makes an angle of 50o with each force?
a) 471.08 N b) 455.12 N c) 400.56 N d) Insufficient data
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Type III- Moment of forces
62.Force F=300N acting vertically upwards at x=2m, y=2m The magnitude of moment of force
about origin is
a) 600Nm b) 660Nm c) 300Nm d) 330Nm
63.A force of 40N is applied perpendicular to the edge of the door 2m wide. Then moment of
force about hinge is
a) 80Nm b) 20Nm c) 40Nm d) 60Nm
64.What is the magnitude of vertical force required to produce a moment of 20Nm at point A
(1m,1m) if the force is acting at point B(2m,2m)
a) 40N b) 30N c) 20N d) 10N
65.A vertical force of 20 N acts at point B(2m,2m). The moment produced at A (1m,1m) is
a) 40Nm b) 30Nm c) 20Nm d) 10Nm
66.The 10 N force is required to be applied to a door at the end of width 1m to rotate it The
moment produced about the hinge is
a) 8.66 Nm b) 10 Nm c) 5 Nm d) None of the above
67.A member AB of 800mm is inclined at 60 degrees to the horizontal. A force of 400N acts
towards left horizontally at A. The moment at B is
a) 290Nm b) 558Nm c) 277 Nm d) 155 Nm
68.A member AB of 600mm length is inclined at 60 degrees to the horizontal. A force of 300N
acts towards left horizontally at A. The moment produced at B is
a) 1.558Nm (anticlockwise) b) 1.558Nm (clockwise)
c) 2.558Nm (clockwise) d) 2.558Nm (anticlockwise)
69.A force of 200N acts 40° to the spoke of a cycle wheel 250 mm in radius. The moment
about the centre of the wheel will be nearer to
a) 50 N m b) 38 Nm c) 32 Nm d) 30 Nm
70.The moment of the 30 N force passing through the coordinates (4, 0) and (0, 3) about the
origin
a) 60 Nm b) 100 Nm c) 72 Nm d) 45 Nm
71.Force of 60N acts at horizontal distance of 1m from origin, angle made by force with
horizontal is 20º. The moment of force about origin is
a) 20.5 Nm b) 30.5 Nm c) 96.42Nm d) 16.67Nm
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72.A force of 50 N acting at A(3,4) makes an angle of 50 degrees anticlockwise with the
horizontal. Its moment about origin will be nearer to
a) 150Nm b) 222Nm c) 244Nm d) 260Nm
73.What is the moment of force about the apex of triangle, if 3 forces of 40N each acting
along the sides of equilateral triangle of side 2m taken in order
a) 51.96Nm b) 69.3 Nm c) 30.6Nm d) 6.67Nm
74.A force of 100N makes an angle of 600 anticlockwise with the horizontal. It passes
through the point having coordinates (4, 5). The moment of this force about origin is
nearer to
a) 306 Nm b) 466 Nm c) 446 Nm d) 606 Nm
75.A plate ABCD is of breadth AB=40mm and depth AD=20 mm. A force of 10 N at angle
2850 is applied at D. The magnitude of the moment of the force about point A is nearer to
a) 193Nmm b) 133Nmm c) 143Nmm d) 93Nmm
76.A force of 100 N acting tangential to a drum of radius 0.25 m, must be transferred
parallel to itself to a diametrically opposite point B. The moment which should accompany
it for equivalent effect is
a) 30 N m b) 40 N m c) 50 N m d) 60 N m
77.A 20 kN weight is lifted by a crane from a horizontal distance of 6m from the position of
the driver. What will be the magnitude of moment created by the weight at position of the
driver?
a) 120 kNm b) 150 kNm c) 175 kNm d) 200 kNm
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Type IV - Varingnon’s theorem
78.Forces 10N, 20N, 30N & 40N acts along sides of rectangle PQ, QR,RS,SP of size3m X 4m
has resultant force 28.28 N directed in S45W causing anticlockwise moment about P.
Calculate location of resultant w.r.t. P
a) 3.63m b) 6.36m c) 2.36m d) 4.36m
79.A like parallel force system consists of four forces of magnitude 10N, 20N, 30N, and 40N
acting at 0.2m apart from each other respectively. The position of the resultant from the
first force 10N is
a) 0.4 m b) 0.6m c) 0.2m d) 0.1m
80.Four forces 180N, 100N, 60N, and 50N are acting along sides AB, BC, CD, and DA of a
square ABCD of side 2m. Their resultant force is 130N. Calculate position of resultant
w.r.t A
a) 2.46 m b) 3.46 m c) 2.64 m d) 3.64 m
81.Resultant of four forces acting on square plate ABCD is 15N & N30E. If moment of
resultant about B is 22.5 Nm clockwise, locate point where resultant intersects vertical
side BC.
a) 3.5 m b) 3m c) 2.5m d) 1.73m
82.Three weights 30N, 10N, 20N are placed at the three corners taken clockwise on a square
ABCD Normal to the plane.. What should be the weight at the remaining corner so that
the resultant of the system lies at the center of square ‘O’?
a) 20 N b) 10 N c) 60N d) Not possible
83.Four forces 50N, 90N, 20N, and 50N are acting along sides AB, BC, CD, and DA of a
square ABCD of side 2m. Their resultant force is 50 N. Calculate position of resultant
w.r.t A
a) 4.4 m b) 4.1 m c) 4 m d) 3 m
84.The effect of couple is unchanged when
a) Couple is shifted to other position b) Couple is rotated through any angle
c) Couple is shifted and rotated d) all of the above
85.The moment of resultant of a force system about any point is equal to algebraic sum of
moments of all other forces about the same point, this is the statement of law of
a) transmissibility of forces c) superposition
b) Triangle of forces d) Varignon’s theorem
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86.If a system of forces can be reduced to a force couple system at a given point without
changing effect on the body, then it is
a) equipollent system c) equivalent system
b) both a and b d) none of the above
87.On a member AB two unlike parallel forces 20N each act at 0.6m apart. The equivalent
system can be
a) couple of 12Nm c) couple of 6Nm
b) force 20 N d) force 0 N
88.Two like parallel forces of 300N and 200N are acting at the ends of the rod of 4m length.
Distance of resultant is
a) 1.6m from larger force c) 4m from larger force
b) 2m from larger force d) none of the above
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Gaurav Burhade’s
STRUCTURE ACADEMY
ASSIGNMENT
1. Varignon’s Theorem can be applied to determine:
a) Position of resultant
b) Location of centroid
c) Magnitude &direction of resultant
d) None of the above
2. When two forces acting at a point are such that ,if the direction of one is reversed, direction of the
resultant is turned through a right angle , the forces should be:
a) Unequal in magnitude
b) Equal in magnitude
c) Inclined of 1800
d) Inclined at 450
3. If two equal forces of magnitude P act at an angle theta, then their resultant will be
a) 2 P sin θ/2
b) P cos θ/2
c) 2 P cos θ/2
d) P tan θ/2
4. Two forces act at an angle of 1200
. If the greater force is 100 N and their resultant is perpendicular
to the smaller force, the smaller force is
5. The resultant of two forces with magnitude ratio 3:5 acting at 60 degree with each other is 35 N.
The magnitude of forces are
6. Two unlike parallel forces of 10 N each acts at points A and B making 30 degree with x axis . If
AB=1m. The moment of couple is
7. Three like parallel forces 100 N, 150 N and 200 N act at a distance of 0.5 m each. The distance of
resultant from 100 N force is
8. A tripod carrying a dumpy level is example of
a) Collinear forces
b) Non coplanar concurrent forces
c) Non coplanar non concurrent forces
d) coplanar concurrent forces
9. When two forces acting on a body, they are essentially
a) Concurrent
b) Parallel
c) Coplanar
d) Collinear
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10. The moment of a force about any point is geometrically equal to _________ area of triangle where
base represents the force and height represents the perpendicular distance.
a) Half
b) Twice
c) Same
d) None of these
11. The resultant of two forces acting at an angle of 150 degree is 10 N and is perpendicular to one of
the forces. The other force is:
12. Two, forces each equal to p/2, act at right angles. Their effect may be neutralized by a third force
acting along their bisector in the opposite direction with a magnitude of
13. Centroid of composite figure can be determined
a) Analytical method
b) Graphical method
c) Both
d) None of these
14. The centroid of an equilateral triangle with each side a is_________ from any of the three sides
a) √3a/2
b) 2√3a
c) a/2√3
d) 3√2a
15. The angle made by side of a square lamina with horizontal if suspended freely from a corner is
16. The centroidal distanced of a quarter circular area along its line of symmetry is
a) 4r/3π
b) 3r/4π
c) 4π/3r
d) √2.4r/3π
17. If r is radius of a hemisphere will lie on the line of symmetry at a distance of__________ from plane
base
a) 3r/4π b) 4r/3π c) 3r/8 d) 5r/8
18. A rectangular plate of 4m x 3m is suspended from one of its corners. In suspended position the
angle made by its longer side with vertical is
a) 43.130
b) 36.870
c) 53.130
d) 450
19. The c.g. of a solid cone from its apex on line of symmetry is
a) 3h/4 b) 4h/3 c) 2h/3 d) h/4
20. The c.g. of hemisphere of rad r from its base along its line of symmetry is
a) r/8
b) r/2
c) 3r/8
d) 4r/3
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21. A semicircular plate is suspended from one of the ends of its diameter. The angle made by
diameter with vertical in suspended position is :
a) 450
b) 230
c) 670
d) 32.50
22. A physical quantity which has direction as well as magnitude is known as a…..
a) Force b) vector c)scalar d) weight
23. Which of the following is not a scalar quantity?
a) Velocity b)potential energy c) work d) kinetic energy
24. Which of the following is a vector quantity?
a) Displacement b)density c)velocity d)acceleration
25. Which of the following statement is false?
a) Scalar quantities have size or magnitude only
b) Vector quantities have both magnitude and direction
c) Mass, length and time are all scalar quantities
d) Distance, velocity and acceleration are all vector quantities
26. If the centre of gravity of an object which is slightly disturbed is raised and the object
returns to its original position when the disturbing force is removed, the object is said to be
in
a) Neutral equilibrium
b) stable equilibrium
c) static equilibrium
d) unstable equilibrium
27. Which of following statement is false?
a) The centre of gravity of a lamina is at its point of balance
b) The centre of gravity of a circular lamina is at its centre
c) The centre of gravity of rectangular lamina is at the point of intersection of its two
sides
d) The centre of gravity of a thin uniform rod is halfway along the rod
28. The magnitude of resultant vector shown in fig is
a) 2N
b) 12N
c) 35N
d) -2N
29. The magnitude of the resultant of the vector shown in fig is
a) 7N
b) 5N
c) 1N
d) 12N
5N
7N
4N
3N
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30. Which statement is false?
a) There is always a resultant vector required to close a vector diagram representing a
system of coplanar forces acting at a point, which are not in equilibrium
b) A vector quantity has both magnitude and direction
c) A vector diagram representing a system of coplanar forces acting at a point when in
equilibrium does not close
d) Concurrent forces are those which act at the same time at the same point
31. Which of the following statement is false?
a) The resultant of coplanar force of 1N, 2N and 3N acting at a point can be 4N.
b) The resultant of forces of 6N and 3N acting in the same line of action but opposite in
sense is 3N.
c) The resultant of forces of 6N and 3N acting in the same sense and having the same
line of action is 9N.
d) The resultant of coplanar forces of 4N at 00
, 3N at 900
and 8N at 1800
is 15N.
32. With the reference of the fig. which of the following statement is false?
a) The horizontal component of FA is 8.66N
b) The vertical component of FB is 10N
c) The horizontal component of FC is 0
d) The vertical component of FD is 4N
33. The resultant of 2 forces of 3N and 4N can never be equal to
a) 2.5N b)4.5N c)6.5N 7.5N
34. The magnitude of the resultant of the vectors shown in fig is
a) 5N
b) 13N
c) 1N
d) 63N
Fc=5N
Fd=8N
FA=10N
FB=20
N
30
150
60
3N
3N 7N

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unit 1 final.pdf

  • 1. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 1 Gaurav Burhade’s STRUCTURE ACADEMY UNIT I: COPLANAR FORCES Type I-‘R’ of more than two forces: 1. In a member ABCD, AB=1m, BC=1m, CD=4m, Force at A=20N acting vertically upwards, at B=20N acting vertically downwards , at C=30N acting vertically upwards and at D=40N acting vertically upwards. Resultant of the force system is a) 110N b) 90N c) 20N d) 70N 2. A pulley of diameter AB = 200 mm is subjected to equal unlike parallel forces of 2000 N one at A and other at B tangentially. A third force of 500 N acts through centre of pulley at 450 The resultant force will be a) 2500N at 135 degrees b) 500N at 450 c) 4500N at 450 d) 2000 N at 450 3. Forces 160.5N horizontal and 173.5N vertical represents components of resultant then the angle made by the resultant with vertical is a) 42.77° b) 45° c) 47.22° d) 4.77° 4. Three forces P = 120 N (towards East), Q = 200 N (towards North), and R = 150 N (towards South), are acting on the member, their resultant is nearer to a) 120N b) 200N c) 130N d) 50N 5. Three forces P = 50 N (towards East), Q = 100 N (towards North), and R = 75 N (towards South), are acting on the member, their resultant is nearer to a) 55.9 N b) 65.9 N c) 75.9 N d) 85.9 N 6. Find resultant of forces when two like parallel forces of 40N and 70N which act at the ends of the rod 40cm long a) 110N b) 50N c) 30N d) 160N 7. The forces acting on a square plate 10m side are as under 1)AB = 10 N, A(1,2) and B(3,3) 2) CD=15N, C(0,1) and D(-3,3) 3) EF=20N, E(-2,0) and F(-1,-3) 4) GH=25N, G(1,-2) and H(3,0). The resultant of the force system is nearer to a) 34.22N b) 23.47N c) 28.41N d) 51.71N
  • 2. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 2 8. If the forces 1N, 2 N, 3 N, 4N, and 5 N act in order along the sides of a regular pentagon & 1 N force acting horizontally towards right, then the resultant is nearer to a) 3N b) 4.75N c) 6N d) 4.25N 9. Forces 50 N, 100 N, and 150 N act along sides of a equilateral triangle taken in order. Their resultant force is nearer to a) 0 N b) 67.66N c) 86.67N d) 300N 10.For a straight rod ABC, AB=2m, BC=4m and forces acting are as 1) at A 40N along positive x axis. 2) at B 120N at an angle 50 degrees with negative x axis in anticlockwise direction 3) At C 60 N upwards. Their resultant force is nearer to a) 3.78N b) 5.21N c) 4.89N d) 6.33N 11.Forces acting tangentially on a circle of 2m radius are 1) 10 N acting North 2) 20 N acting NE 3) 30 N acting SE 4) 40 N acting south .Their resultant force is nearer to a) 65. 35N b) 55 N c) 40N d) 51.22 N 12.Forces 10 N, 20 N, 30 N and 40 N acts along sides of a rectangle PQ, QR, RS, SP. Their resultant force is nearer to a) 28.28 N b) 40N c) 100N d) 32.32N 13.If the forces 10N, 20 N, 30 N, 40N, 50N and 60N acts in order along the sides of a regular hexagon & 10 N force acting horizontally towards right, then the resultant is nearer to a) 50.55 N b) 60N c) 86.67N d) 70.70N 14.Three forces 10 N, 20 N, and P N act along sides of a equilateral triangle taken in order. 10N force acting horizontally towards right. Their resultant force is 17.32N and angle 30 degrees with negative x axis in anticlockwise direction. The magnitude of the force P is nearer to a) 10N b) 17.32N c) 30N d) 21.42N 15.Four Forces 100N, 200N, 300N and P acting along sides of a rectangle in cyclic order. 100 N force is acting horizontally towards right. Their resultant is 282.8 N (in 3rd quadrant). The magnitude of the force P is nearer to a) 300N b) 400N c) 325.7N d) 378.25N 16.Four forces 25 N, 50 N, P and Q are acting along sides of a rectangle taken in order. 25N force acting horizontally towards right. Their resultant force is 200N acting vertically downward. The magnitude of the force P and Q are nearer to
  • 3. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 3 a) 150N, 25N b) 50N, 100N c) 100N, 50N d) 25N,150N 17.A square PQRS of side 1.5m is acted by forces 100N, 200N, 300N and 400N along the sides taken in order. The 100N force acts horizontally towards right. Their resultant force is nearer to a) 330N b) 282.80N c) 400N d) 250N 18.A bent up bar ABC such that AB= 3m, BC= 1m, and angle ABC is 90 degrees. The forces acting on it are 1) At A 40 N at an angle 30 degree with positive x axis in anticlockwise direction 2) At B 20 N towards negative x axis 3) At C 10 N towards positive x axis. Their resultant force is nearer to a) 33.74N b) 36.73N c) 42.70N d) 31.73N 19.Forces 15N, 25N, 35N, 45N, and 50N act along & in the direction AB, AD, CB, CD, and BD of a square ABCD & 15 N force acting horizontally towards right. Their resultant force is nearer to a) 54.1N b) 63.40N c) 70.10N d) 60.54N 20.A horizontal bar ABCD is such that AB=BC=CD= 1.5 m carries the loads as 1) At A 10 N towards positive x axis 2) At B 30 N at an angle 40 degrees with negative x axis in clockwise direction 3) At C 45 N at an angle 50 degrees with positive x axis in anticlockwise direction 4) At D 55N towards Positive x axis. Their resultant force is nearer to a) 77.45N b) 89N c) 98.12N d) 63.40N 21.The forces 1N, 2 N, 3 N, 4N, 5N and 6N act in order along the sides of a regular hexagon. 1 N force acting horizontally towards right, then the resultant is nearer to a) 0 N b) 6 N c) 12 N d) 21N 22.Forces acting tangentially on a circle are 1) 4P N acting towards North 2) 3P N acting towards West 3) 2P N acting towards South 4) P N acting towards East . Resultant force is nearer to a) 1.4P b) 2P c) 1.8P d) 2.83P 23.Three forces 10 N, 20 N, and P N act along sides of a equilateral triangle taken in order. 10N force is acting horizontally towards right. If resultant force acts vertically downward then force P is nearer to a) 30 N b) 15N c) 10N d) zero 24.The forces acting on lamina having coordinates of points are 1) from A to B 100N, A(2,3)
  • 4. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 4 and B(4,4) 2) from P to Q 150 N, P(1,0) and Q(3,0) 3) from R to S 125N, R(0,2) and S(0,4). The resultant of the force system is nearer to a) 279.40N b) 313.42N c) 293.50N d) 286.37N 25.Forces acting at points A, B, C, D tangentially on a circle taken in order anticlockwise are 1) 100 N acting towards North 2) P N acting towards West 3) 50 N acting towards South 4)125 N acting towards East respectively. If resultant force is 60 N in 1st quadrant. Find P a) 87.45N b) 91.83N c) 103.42N d) 59.47N 26.Determine the inclination of resultant of force 100N at 0° and 200N at 90°. a) 36.3° b) 63.435° c) 56.7° d) 186.3° 27.A horizontal rod WXY, WX=2m, XY=4m subjected to the loading as 1) At W 4 N towards positive x axis 2) At X 12 N towards negative x axis 3) At Y 6 N upwards. Their resultant force is a) 14 N b) 2N c) 10 N d) 15 N 28.Four forces 50N, 100N, 110N, and 180N are acting along sides AB, BC, CD, and DA of a square ABCD. Their resultant force is nearer to a) 100N b) 110N c) 180N d) 50N 29.Three concurrent forces Q=100N, P=150N, F=150N act at point O. Q is along +ve x axis, P is acting at an angle 45° in forth quadrant and F is acting in third quadrant at an angle 45°. Then their resultant is a) 150N b) 300N c) 234.52N d) 100N 30.Four concurrent forces1kN, 2kN, 3kN and 4kN acting at an angle of 20°, 63°, 95°,150° from positive x axis. Determine their resultant in kN. a) 7.35 b) 4.35 c) 3.35 d) 2.25 31.Forces 10N, 20N, 30N & 40N acts along sides of rectangle PQ, QR,RS,SP respectively. Then resultant force is given by a) 28.28N b) 40N c) 48N d) 37N 32.Three forces 40N, 90N, 50N act along AB, BC, CA along sides of equilateral triangle in anticlockwise direction, AB being horizontal. Calculate resultant of the force system. a) 0 N b) 45.82 N c) 30 N d) 47 N 33.Two boys are pulling a box with the help of two cables. If the pull in the cables are 23 N, at an angle of 40° and 35 N at an angle of 130° with +ve x axis, their resultant will be a) 14.88 N b) 41.88 N c) 58 N d) 12 N
  • 5. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 5 Type II- ‘R’ of two concurrent forces (law of parallelogram): 34.When two equal forces are acting at 60° produce a resultant equal to 10(3)½, then find out magnitude of each force a) 10 b) 25 c) 20 d) 15 35.Two forces 5N and 7N act at a point on a body. The resultant when they act at right angle is a) (74)½ b) (60)½ c) 70½ d) 84½ 36.Two forces 5N and 6N act at a point on a body. The resultant when they act at 45° is a) 10.17 b) 11 c) 15 d) 13 37.If two forces of magnitude 5kN and 10kN act on a body , then their maximum resultant is a) 25Kn b) 15kN c) 10kN d) 20kN 38.Two forces of magnitude 5N and 7N act at a point on a body. The square of the resultant is three times the product of the forces. Then the angle between them is a) 63.71° b) 60.71° c) 65.71° d) 55.71° 39.Two equal forces act on a body. The square of the resultant is three times the product of the forces. Then the angle between them is a) 120° b) 90° c) 60° d) 30° 40.If two forces of magnitude 10kN and 20kN act on a body , then their minimum resultant is a) 20kN b) 10kN c) 30kN d) 5kN 41.If two forces of magnitude 2P and 4P act at a point on a body , then their maximum resultant is a) 4P b) 6P c) 3P d) 8P 42.If the resultant is equal to half the magnitude of two equal forces, then the angle between the forces is a) 151.04° b) 140.5° c) 120° d) 100° 43.If two equal forces are acting at a right angle, having resultant force of (20)½ ,then find out magnitude of each force. a) (15)½ b) (5)½ c) (25)½ d) (10)½ 44.If the resultant of two equal forces has the same magnitude, then the angle between them is a) 120° b) 60° c) 90° d) 50°
  • 6. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 6 45.Two forces 5N and 7N act at a point on a body. The resultant when they act at right angle is a) (74)½ b) (60)½ c) 70½ d) 84½ 46.If two forces of magnitude 5kN and 10kN act on a body , then their maximum resultant is a) 25kN b) 15kN c) 10kN d) 20kN 47.Two equal forces act on a body. The square of the resultant is two times the product of the forces. Then the angle between them is a) 120° b) 90° c) 60° d) 30° 48.Two forces 3N and 5N act at a point on a body. The resultant when they act at 45° is a) (53.21)½ b) (50.12)½ c) (55.21)½ d) (45.21)½ 49.If two forces of magnitude 10kN and 20kN act on a body , then their minimum resultant is a) 20kN b) 10kN c) 30kN d) 5kN 50.Two forces of magnitude P and 2P act at a point on a body. The square of the resultant is three times the product of the forces. Then the angle between them is a) 120° b) 90° c) 60° d) 30° 51.The angle between two forces ,when the resultant is maximum and minimum are a) 180°and 0° b) 90° and 0° c) 0° and 180° d) 0° and 90° 52.If two forces of magnitude 2P and 4P act at a point on a body , then their maximum resultant is a) 4P b) 6P c) 3P d) 8P 53.If two forces of magnitude 7N and 8N act at 60° , then the resultant will be a) 10N b) 15N c) 13N d) 16N 54.If two forces of magnitude P and 2P act on a body , then their minimum resultant is a) 2P b) 3P c) P d) 4P 55.Two forces act an angle of 120°. If the greater force is 50 N and their resultant is perpendicular to the smaller force, the smaller force is a) 20 N b) 25 N c) 30N d) 35N 56.If the resultant of two forces (P+Q) and(P-Q) is(P²+Q²)½, then the angle between them is given by a) cos a=[-(P²+Q²/2(P²-Q²)] b) cos a=(P²+Q²)
  • 7. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 7 c) cos a=(P²-Q²) d) cos a=(P²+Q²+2PQ) 57.The square of the resultant of forces P1 and P2 with a angle 'D' between them is a) P1²+P2²+2P1P2 b) P1²+P2²+2P1P2cos D c) P1²+P2²-2P1P2 d) P1²+P2² 58.If two forces each equal to T in magnitude act at right angles, their effect may be neutralized by a third force acting along their bi-sector in opposite direction whose magnitude will be a) 2 T b) T/2 c) √2T d) none of these 59.If the resultant is equal to 0.6 times the magnitude of two equal forces, then the angle between the forces is nearer to a) 145 b) 135 c) 120 d) 100 60.If two equal forces are acting at a right angle, having resultant force of (80)½ , then find out magnitude of each force. a) (15)½ b) (5)½ c) (25)½ d) (20)½ 61.If two concurrent forces A and B acting on a point are 200 N and 300 N. What is the magnitude of resultant force, if it makes an angle of 50o with each force? a) 471.08 N b) 455.12 N c) 400.56 N d) Insufficient data
  • 8. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 8 Type III- Moment of forces 62.Force F=300N acting vertically upwards at x=2m, y=2m The magnitude of moment of force about origin is a) 600Nm b) 660Nm c) 300Nm d) 330Nm 63.A force of 40N is applied perpendicular to the edge of the door 2m wide. Then moment of force about hinge is a) 80Nm b) 20Nm c) 40Nm d) 60Nm 64.What is the magnitude of vertical force required to produce a moment of 20Nm at point A (1m,1m) if the force is acting at point B(2m,2m) a) 40N b) 30N c) 20N d) 10N 65.A vertical force of 20 N acts at point B(2m,2m). The moment produced at A (1m,1m) is a) 40Nm b) 30Nm c) 20Nm d) 10Nm 66.The 10 N force is required to be applied to a door at the end of width 1m to rotate it The moment produced about the hinge is a) 8.66 Nm b) 10 Nm c) 5 Nm d) None of the above 67.A member AB of 800mm is inclined at 60 degrees to the horizontal. A force of 400N acts towards left horizontally at A. The moment at B is a) 290Nm b) 558Nm c) 277 Nm d) 155 Nm 68.A member AB of 600mm length is inclined at 60 degrees to the horizontal. A force of 300N acts towards left horizontally at A. The moment produced at B is a) 1.558Nm (anticlockwise) b) 1.558Nm (clockwise) c) 2.558Nm (clockwise) d) 2.558Nm (anticlockwise) 69.A force of 200N acts 40° to the spoke of a cycle wheel 250 mm in radius. The moment about the centre of the wheel will be nearer to a) 50 N m b) 38 Nm c) 32 Nm d) 30 Nm 70.The moment of the 30 N force passing through the coordinates (4, 0) and (0, 3) about the origin a) 60 Nm b) 100 Nm c) 72 Nm d) 45 Nm 71.Force of 60N acts at horizontal distance of 1m from origin, angle made by force with horizontal is 20º. The moment of force about origin is a) 20.5 Nm b) 30.5 Nm c) 96.42Nm d) 16.67Nm
  • 9. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 9 72.A force of 50 N acting at A(3,4) makes an angle of 50 degrees anticlockwise with the horizontal. Its moment about origin will be nearer to a) 150Nm b) 222Nm c) 244Nm d) 260Nm 73.What is the moment of force about the apex of triangle, if 3 forces of 40N each acting along the sides of equilateral triangle of side 2m taken in order a) 51.96Nm b) 69.3 Nm c) 30.6Nm d) 6.67Nm 74.A force of 100N makes an angle of 600 anticlockwise with the horizontal. It passes through the point having coordinates (4, 5). The moment of this force about origin is nearer to a) 306 Nm b) 466 Nm c) 446 Nm d) 606 Nm 75.A plate ABCD is of breadth AB=40mm and depth AD=20 mm. A force of 10 N at angle 2850 is applied at D. The magnitude of the moment of the force about point A is nearer to a) 193Nmm b) 133Nmm c) 143Nmm d) 93Nmm 76.A force of 100 N acting tangential to a drum of radius 0.25 m, must be transferred parallel to itself to a diametrically opposite point B. The moment which should accompany it for equivalent effect is a) 30 N m b) 40 N m c) 50 N m d) 60 N m 77.A 20 kN weight is lifted by a crane from a horizontal distance of 6m from the position of the driver. What will be the magnitude of moment created by the weight at position of the driver? a) 120 kNm b) 150 kNm c) 175 kNm d) 200 kNm
  • 10. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 10 Type IV - Varingnon’s theorem 78.Forces 10N, 20N, 30N & 40N acts along sides of rectangle PQ, QR,RS,SP of size3m X 4m has resultant force 28.28 N directed in S45W causing anticlockwise moment about P. Calculate location of resultant w.r.t. P a) 3.63m b) 6.36m c) 2.36m d) 4.36m 79.A like parallel force system consists of four forces of magnitude 10N, 20N, 30N, and 40N acting at 0.2m apart from each other respectively. The position of the resultant from the first force 10N is a) 0.4 m b) 0.6m c) 0.2m d) 0.1m 80.Four forces 180N, 100N, 60N, and 50N are acting along sides AB, BC, CD, and DA of a square ABCD of side 2m. Their resultant force is 130N. Calculate position of resultant w.r.t A a) 2.46 m b) 3.46 m c) 2.64 m d) 3.64 m 81.Resultant of four forces acting on square plate ABCD is 15N & N30E. If moment of resultant about B is 22.5 Nm clockwise, locate point where resultant intersects vertical side BC. a) 3.5 m b) 3m c) 2.5m d) 1.73m 82.Three weights 30N, 10N, 20N are placed at the three corners taken clockwise on a square ABCD Normal to the plane.. What should be the weight at the remaining corner so that the resultant of the system lies at the center of square ‘O’? a) 20 N b) 10 N c) 60N d) Not possible 83.Four forces 50N, 90N, 20N, and 50N are acting along sides AB, BC, CD, and DA of a square ABCD of side 2m. Their resultant force is 50 N. Calculate position of resultant w.r.t A a) 4.4 m b) 4.1 m c) 4 m d) 3 m 84.The effect of couple is unchanged when a) Couple is shifted to other position b) Couple is rotated through any angle c) Couple is shifted and rotated d) all of the above 85.The moment of resultant of a force system about any point is equal to algebraic sum of moments of all other forces about the same point, this is the statement of law of a) transmissibility of forces c) superposition b) Triangle of forces d) Varignon’s theorem
  • 11. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 11 86.If a system of forces can be reduced to a force couple system at a given point without changing effect on the body, then it is a) equipollent system c) equivalent system b) both a and b d) none of the above 87.On a member AB two unlike parallel forces 20N each act at 0.6m apart. The equivalent system can be a) couple of 12Nm c) couple of 6Nm b) force 20 N d) force 0 N 88.Two like parallel forces of 300N and 200N are acting at the ends of the rod of 4m length. Distance of resultant is a) 1.6m from larger force c) 4m from larger force b) 2m from larger force d) none of the above
  • 12. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 12 Gaurav Burhade’s STRUCTURE ACADEMY ASSIGNMENT 1. Varignon’s Theorem can be applied to determine: a) Position of resultant b) Location of centroid c) Magnitude &direction of resultant d) None of the above 2. When two forces acting at a point are such that ,if the direction of one is reversed, direction of the resultant is turned through a right angle , the forces should be: a) Unequal in magnitude b) Equal in magnitude c) Inclined of 1800 d) Inclined at 450 3. If two equal forces of magnitude P act at an angle theta, then their resultant will be a) 2 P sin θ/2 b) P cos θ/2 c) 2 P cos θ/2 d) P tan θ/2 4. Two forces act at an angle of 1200 . If the greater force is 100 N and their resultant is perpendicular to the smaller force, the smaller force is 5. The resultant of two forces with magnitude ratio 3:5 acting at 60 degree with each other is 35 N. The magnitude of forces are 6. Two unlike parallel forces of 10 N each acts at points A and B making 30 degree with x axis . If AB=1m. The moment of couple is 7. Three like parallel forces 100 N, 150 N and 200 N act at a distance of 0.5 m each. The distance of resultant from 100 N force is 8. A tripod carrying a dumpy level is example of a) Collinear forces b) Non coplanar concurrent forces c) Non coplanar non concurrent forces d) coplanar concurrent forces 9. When two forces acting on a body, they are essentially a) Concurrent b) Parallel c) Coplanar d) Collinear
  • 13. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 13 10. The moment of a force about any point is geometrically equal to _________ area of triangle where base represents the force and height represents the perpendicular distance. a) Half b) Twice c) Same d) None of these 11. The resultant of two forces acting at an angle of 150 degree is 10 N and is perpendicular to one of the forces. The other force is: 12. Two, forces each equal to p/2, act at right angles. Their effect may be neutralized by a third force acting along their bisector in the opposite direction with a magnitude of 13. Centroid of composite figure can be determined a) Analytical method b) Graphical method c) Both d) None of these 14. The centroid of an equilateral triangle with each side a is_________ from any of the three sides a) √3a/2 b) 2√3a c) a/2√3 d) 3√2a 15. The angle made by side of a square lamina with horizontal if suspended freely from a corner is 16. The centroidal distanced of a quarter circular area along its line of symmetry is a) 4r/3π b) 3r/4π c) 4π/3r d) √2.4r/3π 17. If r is radius of a hemisphere will lie on the line of symmetry at a distance of__________ from plane base a) 3r/4π b) 4r/3π c) 3r/8 d) 5r/8 18. A rectangular plate of 4m x 3m is suspended from one of its corners. In suspended position the angle made by its longer side with vertical is a) 43.130 b) 36.870 c) 53.130 d) 450 19. The c.g. of a solid cone from its apex on line of symmetry is a) 3h/4 b) 4h/3 c) 2h/3 d) h/4 20. The c.g. of hemisphere of rad r from its base along its line of symmetry is a) r/8 b) r/2 c) 3r/8 d) 4r/3
  • 14. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 14 21. A semicircular plate is suspended from one of the ends of its diameter. The angle made by diameter with vertical in suspended position is : a) 450 b) 230 c) 670 d) 32.50 22. A physical quantity which has direction as well as magnitude is known as a….. a) Force b) vector c)scalar d) weight 23. Which of the following is not a scalar quantity? a) Velocity b)potential energy c) work d) kinetic energy 24. Which of the following is a vector quantity? a) Displacement b)density c)velocity d)acceleration 25. Which of the following statement is false? a) Scalar quantities have size or magnitude only b) Vector quantities have both magnitude and direction c) Mass, length and time are all scalar quantities d) Distance, velocity and acceleration are all vector quantities 26. If the centre of gravity of an object which is slightly disturbed is raised and the object returns to its original position when the disturbing force is removed, the object is said to be in a) Neutral equilibrium b) stable equilibrium c) static equilibrium d) unstable equilibrium 27. Which of following statement is false? a) The centre of gravity of a lamina is at its point of balance b) The centre of gravity of a circular lamina is at its centre c) The centre of gravity of rectangular lamina is at the point of intersection of its two sides d) The centre of gravity of a thin uniform rod is halfway along the rod 28. The magnitude of resultant vector shown in fig is a) 2N b) 12N c) 35N d) -2N 29. The magnitude of the resultant of the vector shown in fig is a) 7N b) 5N c) 1N d) 12N 5N 7N 4N 3N
  • 15. Gaurav Burhade’s Structure Academy |Contact No.: 8551988111 15 30. Which statement is false? a) There is always a resultant vector required to close a vector diagram representing a system of coplanar forces acting at a point, which are not in equilibrium b) A vector quantity has both magnitude and direction c) A vector diagram representing a system of coplanar forces acting at a point when in equilibrium does not close d) Concurrent forces are those which act at the same time at the same point 31. Which of the following statement is false? a) The resultant of coplanar force of 1N, 2N and 3N acting at a point can be 4N. b) The resultant of forces of 6N and 3N acting in the same line of action but opposite in sense is 3N. c) The resultant of forces of 6N and 3N acting in the same sense and having the same line of action is 9N. d) The resultant of coplanar forces of 4N at 00 , 3N at 900 and 8N at 1800 is 15N. 32. With the reference of the fig. which of the following statement is false? a) The horizontal component of FA is 8.66N b) The vertical component of FB is 10N c) The horizontal component of FC is 0 d) The vertical component of FD is 4N 33. The resultant of 2 forces of 3N and 4N can never be equal to a) 2.5N b)4.5N c)6.5N 7.5N 34. The magnitude of the resultant of the vectors shown in fig is a) 5N b) 13N c) 1N d) 63N Fc=5N Fd=8N FA=10N FB=20 N 30 150 60 3N 3N 7N