Question

A tractor A is used to hoist the body B with the pulley arrangement shown in fig. If A has a forward velocity $v_{A}$, find the velocity of the body B :-

Answer 1

Answer:

From given, we have,

The distance between the ground and the pulley, d

The distance between the tractor A and body B, x

The velocity of tractor A, Va

Therefore, the velocity of body B is given by,

Vb = (x × Va)/[2√(d² + x²)]

V_B=\dfrac{x\times V_A}{2\sqrt{d^2+x^2}}V

B

=

2

d

2

+x

2

x×V

A

Therefore, the velocity of the body B, Vb = (x × Va)/[2√(d² + x²)]