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 end
in (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 $α_{A}$ and $α_{B}$ , respectively, then (cord is not slipping on the pulley).

Question

Infinity Learn · Accepted Answer

In the figure, $$T2$$−$$T1R=MR22$$αA $$T1$$−$$Mg=MaA$$ $$T2=2Mg$$ $$aA=R$$αA α$$A=2g3RFrom$$ the figure,$$T2$$−$$T1$$×$$R=MR22$$α$$BT1$$−$$Mg=MaB2Mg$$−$$T2=2MaBaB=R$$αBα$$B=2g7R$$ So, αA>αB

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