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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 _____

a
mg22
b
32 mg5
c
3mg22
d
22 mg3

detailed solution

Correct option is C

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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