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Q.

A cord is wrapped on a pulley (disc) of mass M and radius R as shown in the figure. To one end of the cord, a block of mass M is connected as shown and to other endin (a) a force of 2 Mg and in (b) a block of mass 2M. Let angular acceleration of the disc in (a) and (b) is αA and αB, respectively, then (cord is not slipping on the pulley).

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a

αA=αB

b

αA>αB

c

αA<αB

d

none of these

answer is B.

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Detailed Solution

In the figure, T2−T1R=MR22αA T1−Mg=MaA T2=2Mg aA=RαA αA=2g3RFrom the figure,T2−T1×R=MR22αBT1−Mg=MaB2Mg−T2=2MaBaB=RαBαB=2g7R So, αA>αB
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