In the arrangement shown, each of the blocks A and B has mass ‘m’ coefficient of friction between block B and table top is 0.5. The pulley is light then magnitude of reaction at the spindle of the pulley is _____

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mg22

32 mg5

3mg22

22 mg3

answer is C.

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Detailed Solution

Acceleration, a=mg−0.5 × mg2m=g/4∴tension string, ∴ T=mg−m × g4 = 3mg4∴Reaction at spindle=T2+T2=3mg22

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