A Solid Wheel with Mass M, Radius R, and Rotational

question 47

Multiple Choice

A solid wheel with mass M, radius R, and rotational inertia MR²/2, rolls without sliding on a horizontial surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a. The magnitudes of the applied force F and the frictional force f of the surface, respectively, are:

• A) F = Ma, f = 0
• B) F = Ma, f = Ma/2
• C) F = 2Ma, f = Ma
• D) F = 2Ma, f = Ma/2
• E) F = 3Ma/2, f = Ma/2

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Definitions:

Quasi Contract

A legal principle that allows a court to award compensation for goods or services rendered where there was no actual contract, based on the concept that it would be unjust to allow one party to benefit at the other's expense without payment.

Legal Obligation

A duty enforced by law that requires a person or entity to act or refrain from acting in a certain way.

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