Apulley with a radius of 3.0 cm and a rotational inertia of 4.5 x 10–3 kg·m2 is suspended from the ceiling. a rope passes over it with a 2.0-kg block attached to one end and a 4.0-kg block attached to the other. the rope does not slip on the pulley. when the velocity of the heavier block is 2.0 m/s the total kinetic energy of the pulley and blocks is: (a) 2.0 j(b) 4.0 j(c) 14 j(d) 22 j(e) 28 j

(D) 22 J

Explanation:

Given:

radius of the pulley,

rotational inertia of the pulley,

mass on one side of the rope,

mass on the other side of the rope,

velocity of the mass ,

Angular velocity of the pulley:

We know for a rotating body,

putting the respective values

Now, the kinetic energy of the blocks :

∴Total kinetic energy

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