Rotational Dynamics About a Fixed Axis: a Wheel Has a Radius

Rotational dynamics about a fixed axis: A wheel has a radius of 0.40 m and is mounted on frictionless bearings. A block is suspended from a rope that is wound on the wheel and attached to it (see figure) . The wheel is released from rest and the block descends 1.5 m in 2.00 s without any slipping of the rope. The tension in the rope during the descent of the block is 20 N. What is the moment of inertia of the wheel?

A) 3.5 kg · m²
B) 3.7 kg · m²
C) 3.9 kg · m²
D) 4.1 kg · m²
E) 4.3 kg · m²

Correct Answer:

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