ROTATIONAL MOTION

A system has three particles of equal mass at (0,0), (2,0), and (1,√3). What is the y-coordinate of the center of mass?

• √3
• √3/2
• √3/3
• 2√3/3

If a particle of mass m is at (0,0) and another of mass 2m is at (3,0), where is the center of mass?

• (1,0)
• (1.5,0)
• (2,0)
• (3,0)

Two people of equal mass stand at opposite ends of a stationary boat. If they walk toward each other and meet at the center, what happens to the boat?

• It moves forward
• It moves backward
• It rotates
• The boat does not move

Where is the center of mass of a uniform solid hemisphere located from its base?

• R/2 from the base
• R/3 from the base
• 3R/8 from the base
• R/4 from the base

How does doubling the mass of one particle in a two-particle system affect the center of mass?

• It has no effect
• It shifts away from that particle
• It shifts the center of mass toward that particle
• It makes the center undefined