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Mass m shown in the figure is in equilib...

Mass `m` shown in the figure is in equilibrium. If it is displaced further by `x` and released find its accleleration just after it is released. Take pulleys to be light and smooth and string light.

A

`(4kx)/(5m)`

B

`(2kx)/(5m)`

C

`(4kx)/(m)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Initially the block is at rest under action of force `2T` upward and mg downwards. When the block is pulled downward by `x` , the spring extends by `2x` . Hence tension `T` increases by `2kx` . Thus the net unbalanced force on block of mass `m` is `4kx` .
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