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Q.

A heavy uniform bar is carried by two men on their shoulders. The weight of the bar is W If one man lets it fall from the end carried try him, the weight experienced by the other at the instant the rod is falling is

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a

W

b

W/2

c

W/4

d

2W

answer is C.

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Detailed Solution

See fig.First of all we consider the acceleration of C.M. Here, the bar turns about A with an angular acceleration α after withdrawing the support of one man.Hence Iα=Wl2 or  α=Wl2IFor a bar,  I=Ml2/3∴α=mgl×32×Ml2=3g2lThe linear acceleration of C.M.a=l2×α=l2×3g2l=3g4From figure, W - R = m amg−R=M×(3g/4)R=mg4=W4
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A heavy uniform bar is carried by two men on their shoulders. The weight of the bar is W If one man lets it fall from the end carried try him, the weight experienced by the other at the instant the rod is falling is