ROTATIONAL MOTION

What is the condition for the center of mass to be at the origin in vector form?

• ∫ dm = 0
• M = 0
• R = 1
• ∫ r dm = 0

Where is the center of mass of a homogeneous thin rod located?

• At one end
• At a random point
• Near the heavier end
• At its geometric center

Why can symmetry arguments be used to find the center of mass of regular homogeneous bodies?

• Because they are heavy
• Because they are hollow
• Because gravity is stronger at center
• Because mass distribution is balanced about the center

For a homogeneous body, how is mass distributed?

• Only on the surface
• Only at the center
• Randomly
• Uniformly throughout the body

If a body has reflection symmetry about the origin, what can be said about ∫x dm?

• It is positive
• It is negative
• It equals M
• It is zero