ROTATIONAL MOTION

Can the center of mass of a system lie in a region where there is no actual mass?

• No, it must always be within the material
• Yes, for example in a hollow sphere
• Only in liquids
• Only in gases

Two particles of masses 2 kg and 3 kg are at positions x = 1 m and x = 4 m on the x-axis. What is the x-coordinate of their center of mass?

• 2.0 m
• 2.5 m
• 2.8 m
• 3.0 m

Where is the center of mass of a uniform semicircular lamina located along its axis of symmetry?

• At the center
• At R/2 from the center
• At 2R/π from the center
• At a distance of 4R/3π from the center

A bomb at rest explodes into two fragments of unequal mass. What happens to the center of mass of the system?

• It moves with the heavier fragment
• It moves with the lighter fragment
• It moves upward
• It remains at rest

If a uniform wire is bent into a circular loop, where is its center of mass?

• At the midpoint of the wire
• At the topmost point
• At the center of the circle
• At the bottommost point