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Physics Newton's Laws of Motion Mix MCQ (Single Correct)

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 V 0 directed downwards. At the instant when Y A = b, the magnitude of acceleration of A is –

A
B
C
D
None

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The correct answer is:
C

2V A cos θ = V 0 ⇒ 2a A cos θ – 2V A sin θ = 0

Y A = b cot θ

⇒ V A = b cosec 2 θ

∴ a A =

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