Rotational rigid body 4

Example:

A 5.00 kg object placed on a frictionless horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 9.00 kg object. The pulley has a radius of 0.250 m and moment of inertia I. The block on the table is moving with a constant acceleration of 2.00 m s^-2.

(a)    Sketch free body diagrams of both objects and pulley.

(b)   Calculate T₁ and T₂ the tensions in the string.

(c)    Determine I.