Question Detail

PHY 101 Rigid Body Dynamics Objective Question

Question

A body that is both rotating and translating has a total kinetic energy that is the sum of which two components?
Options
A Potential energy and rotational kinetic energy
B Translational kinetic energy and potential energy
C Translational kinetic energy and rotational kinetic energy
Correct Answer
D Linear kinetic energy and angular momentum
Correct Answer

Option C is the correct answer.

Detailed Explanation

For a body in combined translational and rotational motion, the total kinetic energy is the sum of the translational kinetic energy of its center of mass (½ M v²) and the rotational kinetic energy about its center of mass (½ I ω²).

Hint

Think of the two distinct types of motion a rigid body can have and their associated energies.

Question Info