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Question: Assume each surface is smooth, pulley light and smooth, and string massless. In the given figure, ac...

Assume each surface is smooth, pulley light and smooth, and string massless. In the given figure, acceleration of the pulley is –

A

F2M\frac{F}{2M}

B

FM\frac{F}{M}

C

F4M\frac{F}{4M}

D

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Answer

F4M\frac{F}{4M}

Explanation

Solution

F = 2T ̃ T = F/2

T = MaBlock ̃ aBlock = F2M\frac{F}{2M}

apulley = 0+aBlock2\frac{0 + a_{Block}}{2} = F4M\frac{F}{4M}