Question

18. A tractor A is used to hoist the body B with the pulley
arrangement shown in fig. If A has a forward velocity
VĄ, find the velocity of the body B :
d
m B
A
XVA
(a)
2
(b)
XUA
d,
XVA
(c)
22 + ²
(d) none of these​

Answer 1

Answer:

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Answer 2

Given:

A tractor A is used to hoist the body B with the pulley  arrangement shown in fig.

To find:

If A has a forward velocity  VĄ, find the velocity of the body B.

Solution:

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)]

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

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