Suppose the smaller pulley of the previous problem has its radius 5.0 cm and moment of inertia 0.10 kg-m2. Find the tension in the part of the string joining the pulleys.
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
