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

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none of these

$\frac{4 k x}{5 m}$

$\frac{2 kx}{5 m}$

$\frac{4 kx}{m}$

answer is C.

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Detailed Solution

Initially the block is at rest under action of force 2T upward and mg downwards. When the block is pulley downwards by x, the spring extends by 2x. Hence tension T increases by 2kx. Thus the net unbalanced force on block of mass m is 4 kx.

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