A mass is suspended from a string wrapped around a pulley of

A mass is suspended from a string wrapped around a pulley of mass M and radius R and allowed to fall. The string unwraps from the pulley without slipping. Is the tension in the string greater, less than or the same as the weight of the suspended mass? (a) greater than (b) less than (c) the same as

Solution

Here the pully is experiencing a torque which is causing angular acceleration. So the mass will also be accelerated downward as there is no slipping.

So mg - T = ma

T = mg - ma

hence tension is less than weight of suspended mass.

option b is correct