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Question: The massless string connecting slider A and mass B passes over two small massless smooth pulley, one...

The massless string connecting slider A and mass B passes over two small massless smooth pulley, one which is attached to 'A'. The end of strings are attached to mass B and roof as shown. Mass B has constant velocity V0 directed downwards. At the instant when YA = b, the magnitude of acceleration of A is –

A

V02 b\frac { \mathrm { V } _ { 0 } ^ { 2 } } { \mathrm {~b} }

B

C

D

None

Answer

Explanation

Solution

2VA cos q = V0 ̃ 2aA cos q – 2VA sin q dθdt\frac { \mathrm { d } \theta } { \mathrm { dt } } = 0

YA = b cot q

̃ VA = b cosec2q

\ aA =