ROTATIONAL MOTION

What is the centre of mass of a system of four particles of equal mass at the corners of a rectangle?

• At one corner
• At the intersection of diagonals
• At the midpoint of a side
• At the centre of mass of three corners

How is the Z-coordinate of the centre of mass affected if all zi are decreased by 3 units?

• Z remains same
• Z increases by 3
• Z decreases by 3 units
• Z becomes zero

For a system with particles on a circle, where is the centre of mass if masses are equal?

• At one particle
• At the centre of the circle
• At the circumference
• Outside

What happens to the centre of mass if a particle is split into two equal parts at the same location?

• It shifts
• It remains unchanged
• It doubles
• It becomes zero

How does the centre of mass depend on the choice of origin for calculation?

• It changes the physical location
• The numerical value changes, but physical location is invariant
• It has no effect
• It doubles the value