ROTATIONAL MOTION

What is the moment of inertia of a hollow sphere about its diameter?

• ½ MR²
• ⅔ MR²
• MR²
• ¼ MR²

How does the moment of inertia of a body depend on the choice of axis?

• It is always the same
• It varies with the axis position and orientation
• It only depends on mass
• It decreases with higher axes

What is the main purpose of defining radius of gyration?

• To measure the actual radius
• To find the center of mass
• To simplify the moment of inertia into an equivalent point mass model
• To calculate surface area

What is the radius of gyration of a rod of length L about an axis through its center and perpendicular to its length?

• L/2
• L/√12
• L/6
• L/3

For a circular disc, what is the moment of inertia about an axis through its center and perpendicular to its plane?

• ¼ MR²
• ½ MR²
• MR²
• ⅓ MR²