ROTATIONAL MOTION

What is the moment of inertia of a thin circular ring about an axis perpendicular to its plane and passing through its center?

• M R²/2
• M L²/12
• M R²
• 2 M R²/5

What type of motion is restricted to one degree of freedom in the context of rotation?

• Rotation in three dimensions
• Rotation about a fixed axis
• General rotational motion
• Combined translational and rotational motion

Which quantity in rotational motion plays the same role as linear velocity in translational motion?

• Angular acceleration
• Angular displacement
• Linear speed
• Angular velocity

How does the moment of inertia of a cat change when it tucks its legs while falling?

• It increases
• It decreases, allowing faster rotation to land on feet
• It remains constant
• It becomes zero

What is the effect of a small radius of gyration on a rotating body's responsiveness?

• It makes it less responsive
• It has no effect
• It makes the body more responsive to applied torque
• It causes instability