Three forces of 2P, 3P and 4P act along the three sides of an equilateral triangle with a side length of 100 mm. The resultant force is calculated to be 1.732P with a position of (-1.5P, -0.866P).

1. Three forces of 2P, 3P and 4P act along the three
sides of an equilateral triangle of side 100 mm
taken in order. Find the magnitude and position
of the resultant force.
Let P = Your Roll Number
Assignment no. 1
Question 1

2. Three forces of 2P, 3P and 4P act along the three
sides of an equilateral triangle of side 100 mm
taken in order. Find the magnitude and position
of the resultant force.
Let P = Your Roll Number
3𝑃
4𝑃
2𝑃

4. 3𝑃
4𝑃
2𝑃
𝑹 = (−𝟏. 𝟓𝑷, −𝟎. 𝟖𝟔𝟔𝑷)
𝒙
𝑹
𝑹(𝑯, 𝑽)
𝑹 = −𝟏. 𝟓𝑷 𝒊 − 𝟎. 𝟖𝟔𝟔𝑷 𝒋
𝑹(𝒙, 𝒚)
𝑩
𝟏. 𝟕𝟑𝟐𝑷
(𝟎, 𝟎)
𝟏𝟎𝟎 𝒎𝒎

5. 3𝑃
4𝑃
2𝑃
𝒙
𝑩
𝟏. 𝟕𝟑𝟐𝑷
𝟏𝟎𝟎 𝒎𝒎
(𝟎, 𝟎)

7. Four forces equal to P, 2P, 3P and 4P are
respectively acting along the four sides of square
ABCD taken in order. Find the magnitude,
direction and position of the resultant force.
Let P = Your Roll Number
Assignment no. 1
Question 2

8. 𝑨 (𝟎, 𝟎)
𝟒P
𝟑𝑷
𝟐𝑷
𝑷

9. 𝟒P
𝟑𝑷
𝟐𝑷
𝑷

11. 𝑨 (𝟎, 𝟎)
𝟒P
𝟑𝑷
𝟐𝑷
𝑷
𝒙
𝒂
𝒂
𝑹

12. 𝑨 (𝟎, 𝟎)𝟑𝑷
𝟐𝑷
𝒙
𝒂
𝒂
𝟐 𝟐 𝑷

13. A light string ABCDE whose extremity A is fixed, has weights W1 and W2 attached
to it at B and C. It passes round a small smooth peg at D carrying a weight of 300 N
at the free end E as shown in Fig.
If in the equilibrium position, BC is horizontal and AB and CD make 150° and 120° with BC,
find the Tensions in the portion AB,BC and CD of the string and Magnitudes of W1 and W2
.
Let W1 = 10 times your Roll
Number
W2 = 20 times Your Roll Number
Assignment no. 1
Question 3

17. Three cylinders weighting PN each and of 80 mm diameter are placed in a channel
of 180 mm width as shown in Fig. Determine the pressure exerted by
i. the cylinder A on B at the point of contact
ii. the cylinder B on the base and
iii. the cylinder B on the wall.
Let P = 10 times your Roll Number