Question

Two like parallel forces 20 N and 30 N act at the
ends A and B of a rod 1.5 m long. The resultant
of the forces will act at the point
(1) 90 cm from A
- (2) 75 cm from B
(3) 20 cm from B
(4) 85 cm from A​

Answer 1

The resultant point will be 0.9 cm far from point A.

Explanation:

Lets assume the point at which resultant of the forces will act, is 'x' m from the point A.

Thus the point is (1.5 - x) m far from the point B.

Thus, using the formula

Torque = Distance x Force acting

20 x = 30(1.5 - x)

2x = 4.5 - 3x

5x = 4.5

or, x = 0.9 m = 0.9 x 100

x = 90 cm

Thus the resultant point will be 0.9 cm far from point A.

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