Suppose the small

The tension on the string is given as

Given

The moment of the inertia of the wheel is given as 0.20 and a radius of 10 cm to support/hang a block of 2 kg mass.

Formula Used

The formula used to find the torque applied on the pulley due to the masses are described below as the product of moment of Inertia and angular acceleration:

where

is the torque of the pulley, is the angular acceleration and I is the moment of Inertia of the pulley

Explanation

The tension applied by the block on the string is given as

The acceleration of the pulley in terms of angular acceleration is given as

The relationship between angular acceleration is given as

Putting the value of T in terms of acceleration we get the final equation for the tension in the pulley as