ROTATIONAL MOTION

For a homogeneous body with a point of symmetry, where is the center of mass located?

• At the surface
• At infinity
• At one end
• At the point of symmetry

How is the Y-coordinate of the center of mass expressed for a continuous body?

• Y = ∫ y dm
• Y = M ∫ y dm
• Y = (1/M) ∫ x dm
• Y = (1/M) ∫ y dm

What does the integral ∫ z dm represent in 3D center of mass calculations?

• Total mass
• Kinetic energy in z-direction
• Potential energy
• The first moment of mass about the xy-plane

Why can we say the center of mass of a homogeneous cube is at its center?

• Because it is heavy
• Because it is solid
• Because it has corners
• Because of reflection symmetry in all three dimensions

How does the center of mass of a thick cylindrical rod compare to a thin one?

• Thick rod has center at end
• Thin rod has no center of mass
• Thick rod has higher center
• Both have center of mass at geometric center if homogeneous