ROTATIONAL MOTION

If all particles in a system have the same x-coordinate, where is the X-coordinate of the centre of mass?

• Zero
• Equal to that common x-coordinate
• Depends on mass
• At infinity

What is the role of the total mass M in the denominator of the centre of mass formula?

• It increases the value
• It converts to velocity
• It normalizes the weighted sum of positions
• It eliminates time

How does the centre of mass of a system change if a particle is removed from one end?

• It remains at same position
• It shifts toward that end
• It shifts away from that end
• It disappears

For a uniform circular ring, where is the centre of mass located?

• At the circumference
• At the geometric centre
• At the topmost point
• At the bottommost point

What is the significance of the equation ∑mi ri = 0 when the origin is at the centre of mass?

• It indicates zero mass
• It shows infinite distance
• It shows balance of mass distribution around the origin
• It means no particles exist