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Engineering Mechanics & Strength of
Materials
PYQ and Doubt clear class
By:-
Ashish Mishra
Problem UPRVUNL
AE 2016
A rigid body will be in equilibrium under the action of
two forces only when:
(a) Forces have same magnitude, same line of action and
same sense
(b) Forces have same magnitude and same line of action
(c) Forces have same magnitude, same line of action and
opposite sense
(d) Forces have same magnitude
Problem CGPCS Polytechnic Lecturer
2017
Pick the odd statement out with regard to Lami's
theorem from following:
(a) The theorem is applicable only if the body is in
equilibrium.
(b) The theorem is applicable for parallel forces.
(c) The theorem is not applicable for more than three forces.
(d) The theorem is not applicable for less than three forces.
(e) The theorem is applicable for coplanar forces.
Problem TRB Polytechnic Lecturer
2017
The Lami's theorem is applicable only for :
(a) Coplanar forces
(b) Concurrent forces
(c) Coplanar and Concurrent forces
(d) Any types of the forces
Problem CGPSC 26th
April 1st Shift
Concurrent forces 2, sqrt3 , 5, sqrt3 and 2 kN act at one
of the angular points of a regular hexagon towards the
remaining five angular points. Determine the magnitude
and direction of the resultant force.
(a) R = 10 kN; α = 0Degree
(b) R = 12 kN; α = 180Degree
(c) R = 10 kN; α = 60Degree
(d) R = 20 kN; α = 0Degree
Problem CGPSC 26th April
1st Shift
TNPSC AE 2018
If two of the three concurrent forces in equilibrium have
equal magnitude P and angle α between them, the
magnitude of third force is
(a) 2P cos (α /2) (b) 2P cos α
(c) 2P sin α (d) P cos α
Problem Vizag Steel (MT) 2017
The force applied on a body of mass 100 kg to produce an
acceleration of 5 m/s2 is
(a) 20 N (b) 100 N
(c) 500 N (d) None of these
Problem Gujarat PSC AE 2019
Two parallel forces 100 kN and 75 kN act on a body and
have resultant of 25 kN. Then, the two forces are
(a) Like parallel forces
(b) Unlike parallel forces
(c) Concurrent forces
(d) None of the above
Problem KPSC AE 2015
Which of the following is not a scalar quantity?
(a) Mass (b)Volume
(c) Time (d)Acceleration
Problem
OPSC AE. 2016
UKPSC AE 2007
The effect of a force on a body depends on its :
(a) Direction (b) Magnitude
(c) Position (d) All of these
Problem
UKPSC AE 2012
If the sum of all the forces acting on a moving object is
zero, the object will
(a) continue moving with constant velocity
(b) accelerate uniformly
(c) change the direction of motion
(d) slow down and stop
Problem
UKPSC AE 2012
Two equal and mutually perpendicular forces of
magnitude ‘P’, are acting at a point. Their resultant force
will be
(a) P sqrt2, at an angle of 30° with the line of action of any
one force.
(b) P sqrt2, at an angle of 45° with the line of action of each
force.
(c) P sqrt2, at an angle of 45° with the line of action of each
force.
(d) Zero
Problem
UKPSC AE 2012
A body subjected to coplanar non-concurrent forces will
remain in a state of equilibrium if
(a) ΣFx = 0 (b) ΣFy = 0
(c) ΣM = 0 (d) All of the above three
Problem
UKPSC AE 2012
A rigid body is subjected to non-coplanar concurrent
force system. If the body is to remain in a state of
equilibrium, then
(a) ΣFx = ΣFy = ΣFz = 0 (b) ΣMx = ΣMy = 0
(c) ΣMy = ΣMz = 0 (d) None of the above
Problem
UKPSC AE 2007
When a body is in a state of equilibrium under the action
of any force system, the normal stress at a point within
the body depends upon
(a) elementary area ΔA surrounding the point
(b) elemental force ΔF acting normal to ΔA
(c) the plane orientation containing the point
(d) all the above three
Problem
UKPSC AE 2007
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
(a) P (b) P/2
(c) sqrt2*P (d)P/sqrt2
Problem
UKPSC AE 2007
Polygon of forces is useful for computing the resultant of
(a) concurrent spatial forces
(b) coplanar parallel forces
(c) coplanar concurrent forces
(d) coplanar collinear forces
Problem
UKPSC AE 2007
If the algebraic sum of all the forces acting on a body is
zero, then the body may be in equilibrium provided the
forces are
(a) parallel (b) like parallel
(c) unlike parallel (d) concurrent
Problem
UKPSC AE 2007
In case of concurrent coplanar forces, the condition of
equilibrium is
(a) ΣH = 0,ΣV = 0,ΣM = 0
(b) ΣH = 0,ΣV = 0
(c) ΣH = 0,ΣM = 0
(d) ΣV = 0,ΣM = 0
Problem
UKPSC AE 2007
If a body is in equilibrium then the following is true:
(a) There is no force acting on the body
(b) Resultant of all forces is zero but the moments of forces
about any point is not zero
(c) The moments of the forces about any point is zero, but
the resultant of all forces is not zero
(d) both (b) and (c)
Problem
UKPSC AE 2012
Four forces P, 2P, 3 P & 4P act along the sides of a square,
taken in order. The resultant force is
(a) Zero (b) 5P
(c) 2sqrt2P (d) sqrt2P
Problem HPPSC AE
2018
Problem CGPSC AE
2014- I
Problem HPPSC AE
2018
Problem
RPSC IFAB 2016
Problem
UPPSC AE 16 Paper-I
The angle between two forces P and Q is α The resultant of these
forces is
Problem TSPSC
AEE 2015
The horizontal and vertical components of a force of 200 N acting on
a body at an angle of 30° with the horizontal is
Problem UPPSC
AE .2016
A roller of weight W is to be rolled over a wooden block as shown in
the figure. The pull F required to just cause the said motion.
Problem CGPCS
Lecturer 2017)
Problem UKPSC
AE 2012
In the following figure, the tension in the rope AC is
(a) 17.32 N (b) 56.60 N
(c) 169.90 N (d) 113.20 N
Thank You

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problem on force system

  • 1. Engineering Mechanics & Strength of Materials PYQ and Doubt clear class By:- Ashish Mishra
  • 2. Problem UPRVUNL AE 2016 A rigid body will be in equilibrium under the action of two forces only when: (a) Forces have same magnitude, same line of action and same sense (b) Forces have same magnitude and same line of action (c) Forces have same magnitude, same line of action and opposite sense (d) Forces have same magnitude
  • 3. Problem CGPCS Polytechnic Lecturer 2017 Pick the odd statement out with regard to Lami's theorem from following: (a) The theorem is applicable only if the body is in equilibrium. (b) The theorem is applicable for parallel forces. (c) The theorem is not applicable for more than three forces. (d) The theorem is not applicable for less than three forces. (e) The theorem is applicable for coplanar forces.
  • 4. Problem TRB Polytechnic Lecturer 2017 The Lami's theorem is applicable only for : (a) Coplanar forces (b) Concurrent forces (c) Coplanar and Concurrent forces (d) Any types of the forces
  • 5. Problem CGPSC 26th April 1st Shift Concurrent forces 2, sqrt3 , 5, sqrt3 and 2 kN act at one of the angular points of a regular hexagon towards the remaining five angular points. Determine the magnitude and direction of the resultant force. (a) R = 10 kN; α = 0Degree (b) R = 12 kN; α = 180Degree (c) R = 10 kN; α = 60Degree (d) R = 20 kN; α = 0Degree
  • 6. Problem CGPSC 26th April 1st Shift TNPSC AE 2018 If two of the three concurrent forces in equilibrium have equal magnitude P and angle α between them, the magnitude of third force is (a) 2P cos (α /2) (b) 2P cos α (c) 2P sin α (d) P cos α
  • 7. Problem Vizag Steel (MT) 2017 The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2 is (a) 20 N (b) 100 N (c) 500 N (d) None of these
  • 8. Problem Gujarat PSC AE 2019 Two parallel forces 100 kN and 75 kN act on a body and have resultant of 25 kN. Then, the two forces are (a) Like parallel forces (b) Unlike parallel forces (c) Concurrent forces (d) None of the above
  • 9. Problem KPSC AE 2015 Which of the following is not a scalar quantity? (a) Mass (b)Volume (c) Time (d)Acceleration
  • 10. Problem OPSC AE. 2016 UKPSC AE 2007 The effect of a force on a body depends on its : (a) Direction (b) Magnitude (c) Position (d) All of these
  • 11. Problem UKPSC AE 2012 If the sum of all the forces acting on a moving object is zero, the object will (a) continue moving with constant velocity (b) accelerate uniformly (c) change the direction of motion (d) slow down and stop
  • 12. Problem UKPSC AE 2012 Two equal and mutually perpendicular forces of magnitude ‘P’, are acting at a point. Their resultant force will be (a) P sqrt2, at an angle of 30° with the line of action of any one force. (b) P sqrt2, at an angle of 45° with the line of action of each force. (c) P sqrt2, at an angle of 45° with the line of action of each force. (d) Zero
  • 13. Problem UKPSC AE 2012 A body subjected to coplanar non-concurrent forces will remain in a state of equilibrium if (a) ΣFx = 0 (b) ΣFy = 0 (c) ΣM = 0 (d) All of the above three
  • 14. Problem UKPSC AE 2012 A rigid body is subjected to non-coplanar concurrent force system. If the body is to remain in a state of equilibrium, then (a) ΣFx = ΣFy = ΣFz = 0 (b) ΣMx = ΣMy = 0 (c) ΣMy = ΣMz = 0 (d) None of the above
  • 15. Problem UKPSC AE 2007 When a body is in a state of equilibrium under the action of any force system, the normal stress at a point within the body depends upon (a) elementary area ΔA surrounding the point (b) elemental force ΔF acting normal to ΔA (c) the plane orientation containing the point (d) all the above three
  • 16. Problem UKPSC AE 2007 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 (a) P (b) P/2 (c) sqrt2*P (d)P/sqrt2
  • 17. Problem UKPSC AE 2007 Polygon of forces is useful for computing the resultant of (a) concurrent spatial forces (b) coplanar parallel forces (c) coplanar concurrent forces (d) coplanar collinear forces
  • 18. Problem UKPSC AE 2007 If the algebraic sum of all the forces acting on a body is zero, then the body may be in equilibrium provided the forces are (a) parallel (b) like parallel (c) unlike parallel (d) concurrent
  • 19. Problem UKPSC AE 2007 In case of concurrent coplanar forces, the condition of equilibrium is (a) ΣH = 0,ΣV = 0,ΣM = 0 (b) ΣH = 0,ΣV = 0 (c) ΣH = 0,ΣM = 0 (d) ΣV = 0,ΣM = 0
  • 20. Problem UKPSC AE 2007 If a body is in equilibrium then the following is true: (a) There is no force acting on the body (b) Resultant of all forces is zero but the moments of forces about any point is not zero (c) The moments of the forces about any point is zero, but the resultant of all forces is not zero (d) both (b) and (c)
  • 21. Problem UKPSC AE 2012 Four forces P, 2P, 3 P & 4P act along the sides of a square, taken in order. The resultant force is (a) Zero (b) 5P (c) 2sqrt2P (d) sqrt2P
  • 26. Problem UPPSC AE 16 Paper-I The angle between two forces P and Q is α The resultant of these forces is
  • 27. Problem TSPSC AEE 2015 The horizontal and vertical components of a force of 200 N acting on a body at an angle of 30° with the horizontal is
  • 28. Problem UPPSC AE .2016 A roller of weight W is to be rolled over a wooden block as shown in the figure. The pull F required to just cause the said motion.
  • 30. Problem UKPSC AE 2012 In the following figure, the tension in the rope AC is (a) 17.32 N (b) 56.60 N (c) 169.90 N (d) 113.20 N

Editor's Notes

  1. Lecture No. - 01
  2. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  3. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  4. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  5. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  6. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  7. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  8. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  9. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  10. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  11. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  12. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  13. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  14. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  15. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  16. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  17. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  18. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  19. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  20. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  21. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  22. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  23. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  24. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  25. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  26. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  27. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  28. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.
  29. A rigid body will be in equilibrium under the action of two forces only when forces have same magnitude, same line of action and opposite sense.