Answer :

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





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