ROTATIONAL MOTION

How is the centre of mass of a system affected by a uniform scaling of all positions?

• It remains fixed
• It scales by the same factor
• It becomes zero
• It inverts

If the masses of all particles are tripled, what happens to the centre of mass position?

• It triples
• It becomes one-third
• It remains the same
• It doubles

What is the effect on the centre of mass if a particle is moved along a circular path around the current centre of mass?

• It remains fixed
• It may shift depending on the mass
• It moves in a straight line
• It stops

How does the centre of mass of a uniform sphere lie?

• At the surface
• At its geometric centre
• At the top
• At the centre of mass of hemisphere

What is the centre of mass of a system with particles at (0,0), (3,0), (0,4) with masses 1kg, 1kg, 2kg?

• (1.0, 1.0)
• (1.5, 2.0)
• (2.0, 1.0)
• (0.75, 2.0)