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Question

Two blocks of masses m1 and m2 are connected with a massless undeformed spring and placed over a plank moving with an acceleration ‘a’ as shown in figure. The coefficient of friction between the blocks and platform is μ. Then choose the correct statement.

A
Spring will be stretched if a > μg.
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B
Spring will be compressed if a μg.
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C
Spring will neither be compressed nor be stretched only if a μg.
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D
Spring will be in its natural length under all conditions only if both blocks are placed simultaneously.
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Solution

The correct option is D Spring will be in its natural length under all conditions only if both blocks are placed simultaneously.
Both the blocks will have a maximum acceleration of μg.
Hence the relative acceleration between the blocks is zero under all conditions.

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