ROTATIONAL MOTION

For a given torque, how does doubling the moment of inertia affect the angular acceleration?

• It doubles
• It has no effect
• It halves the angular acceleration
• It quadruples

What is the moment of inertia of a hollow cylinder about its central axis?

• ½ MR²
• MR²
• ⅓ MR²
• ¼ MR²

How does the moment of inertia of a body change when it is scaled up uniformly by a factor of 2 in all linear dimensions?

• It doubles
• It increases by a factor of 4
• It increases by a factor of 8
• It remains the same

What is the moment of inertia of a square lamina about an axis through its center and perpendicular to its plane?

• (1/12)ML²
• (1/6)ML² for side L
• (1/3)ML²
• ML²

How does the moment of inertia influence the energy storage capacity of a rotating body?

• It reduces energy storage
• It has no effect
• Higher moment of inertia allows more energy to be stored at the same angular velocity
• It causes energy loss