In the following figure, a body of mass m is tied at one end of a light string and this string is wrapped around the solid cylinder of mass M and radius R. At the moment $$t=0$$,the system starts moving. If the friction is negligible, angular velocity at time t would be

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Infinity Learn · Accepted Answer

We know the tangential $$accelerationa=g1+ImR2=g1+1/2MR2mR2=2mg2m+M$$                                                        As $$I=12MR2$$ for cylinder After time t, linear velocity of mass m, $$v=u+at=0+2mgt2m+MSo$$, angular velocity of the cylinder, ω$$=vR=2mgtR(M+2m)$$

In the following figure, a body of mass m is tied at one end of a light string and this string is wrapped around the solid cylinder of mass M and radius R. At the moment t=0,the system starts moving. If the friction is negligible, angular velocity at time t would be

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