ROTATIONAL MOTION

For a uniform T-shaped lamina made of two equal rods, where is the center of mass?

• At the junction point
• On the horizontal rod
• On the vertical rod, below the junction
• At the top of the vertical rod

A man jumps off a stationary cart on a frictionless track. What happens to the center of mass of the (man + cart) system?

• It moves with the man
• It moves with the cart
• It moves upward
• It remains at rest

If a system of particles is rotating about its center of mass, what is the linear momentum of the system?

• Non-zero
• Infinite
• Zero
• Equal to angular momentum

Where is the center of mass of a uniform solid sphere?

• At the surface
• At the top
• At its geometric center
• At the bottom

Which of the following best defines the center of mass for a continuous body?

• Sum of all positions divided by number of particles
• Average of the endpoints
• The integral of position vector times mass element divided by total mass
• Maximum position minus minimum position