A pulley with a radius of 3.0 cm and a rotational inertia of 4x10^-3 kg x m^2 is

Question

A pulley with a radius of 3.0 cm and a rotational inertia of 4x10^-3 kg x m^2 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. At any instant after the blocks start moving, the object with the greatest kinetic energy is:
(1) the pulley
(2) the lighter block
(3) the heavier block
(4) either block (the two blocks have the same kinetic energy)
(5) none (all three objects have the same kinetic energy)

The answer is (1)
Please explain your reasoning & thank you!

Explanation / Answer

The angular speed of the pulley is .    w = v / r The kinetic energy pulley is . KE = (1/2) I w2 So option (a) is correct. So option (a) is correct.

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