ROTATIONAL MOTION

For a pair of equal masses connected by a light rod, where should the axis be placed to minimize the moment of inertia?

• At one end of the rod
• At the center of the rod
• Anywhere along the rod
• Outside the rod

What happens to the moment of inertia of a system if one of its masses is moved farther from the axis of rotation?

• It decreases
• It remains unchanged
• It increases
• It becomes zero

Why is the moment of inertia of a rod greater about its end than about its center?

• Because the mass increases
• Because gravity pulls more at the end
• Because the average distance of mass from the axis is larger
• Because the length is cubed in the formula

What is the significance of the radius of gyration being smaller for a solid disc than a ring of the same mass and radius?

• It means the disc is heavier
• It indicates the disc’s mass is closer to the axis on average
• It implies the disc has more surface area
• It shows the disc rotates faster

For a thin circular ring rotating about an axis through its center and in the plane of the ring, what would happen to its moment of inertia?

• It increases
• It remains MR²
• It decreases compared to perpendicular axis rotation
• It becomes zero