Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question

Question

For a rigid body, the total angular momentum L is equal to which of the following products?
Options
A The sum of its linear momenta
B Its moment of inertia multiplied by its angular velocity
Correct Answer
C Its total mass multiplied by its linear velocity
D Its angular acceleration multiplied by its radius
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a rigid body, the total angular momentum is the sum of the angular momenta of its constituent particles, which simplifies to the product of the body's moment of inertia (I) and its angular velocity (ω): L = I ω.

Hint

Angular momentum for a rigid body is analogous to linear momentum (p = mv) for a point mass.

Question Info