ROTATIONAL MOTION

In the case of a homogeneous disc, where is the center of mass located?

• At the edge
• At a random point inside
• Near the heavier side
• At the geometric center

How does the center of mass of a homogeneous ring compare to its geometric center?

• The center of mass is outside the ring
• The center of mass is at a random point
• The center of mass is at one end
• They coincide

What happens to the integral ∫ x dm for a body with reflection symmetry about the origin?

• It becomes infinite
• It doubles
• It becomes M
• It becomes zero

Why does the center of mass of a thin homogeneous rod lie at its geometric center?

• Because it is very long
• Because gravity acts at the center
• Because the ends are lighter
• Due to reflection symmetry about the center

For which of the following shapes can symmetry arguments be used to determine the center of mass?

• A randomly shaped object
• A non-uniform rod
• A broken ring
• A homogeneous sphere