A cord is wrapped on a pulley (disk) of mass M and radius R as shown in figure. To one end of the cord, a block of mass M is connected as shown and to other end in (a) a force of 2 Mg and in (b) a block of mass 2M. Let angular acceleration of the disk in A and B is αA and αB, respectively, then (cordis 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 figure, T2−T1R=MR22αAT1−Mg=MaAT2=2MgaA=RαAαA=2g3RFrom figure,T2−T1×R=MR22αBT1−Mg=MaB2Mg−T2=2MaBaB=RαBαB=2g7RSo, αA>αB