ROTATIONAL MOTION

What is the significance of the limit as ∆mi → 0 in center of mass calculations?

• It makes the mass zero
• It increases the number of particles
• It changes the shape
• It allows the use of integration for exact results

For a homogeneous rectangular plate, where is the center of mass located?

• At a corner
• At the midpoint of a side
• At the center of the longer side
• At the intersection of the diagonals

What is the effect of choosing the center of mass as the origin on ∫ z dm?

• It becomes M
• It becomes infinite
• It remains unchanged
• It becomes zero

Why is the center of mass of a homogeneous sphere at its center?

• Because it is round
• Because gravity is strongest at center
• Because it rotates
• Due to spherical symmetry and uniform density

What happens to ∫ y dm in a body symmetric about the xz-plane?

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