Question Detail

PHY 101 Rigid Body Dynamics Objective Question

Question

Which of the following statements correctly expresses the parallel axis theorem?
Options
A I = I_cm - Mh²
B I = I_cm + Mh²
Correct Answer
C I = I_cm × Mh²
D I = I_cm / Mh²
Correct Answer

Option B is the correct answer.

Detailed Explanation

The parallel axis theorem states that the moment of inertia I about any axis parallel to an axis through the center of mass is equal to the moment of inertia about the center of mass axis I_cm plus the product of the total mass M and the square of the perpendicular distance h between the axes: I = I_cm + Mh².

Hint

Recall how the moment of inertia changes when the axis of rotation is shifted parallel to an axis through the center of mass.

Question Info