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

question 85

Multiple Choice

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

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