ROTATIONAL MOTION

What does ∫ x dm = 0 imply about the coordinate system?

• The body is not moving
• The total mass is zero
• The density is uniform
• The origin is at the center of mass

What is the vector expression for the position of the center of mass of a continuous body?

• R = ∫ r dm
• R = M ∫ r dm
• R = (1/M) ∫ v dm
• R = (1/M) ∫ r dm

What is the expression for the X-coordinate of the center of mass of a continuous body?

• X = ∫ x dm
• X = M ∫ x dm
• X = (1/M) ∫ y dm
• X = (1/M) ∫ x dm

How is the total mass M of a continuous body expressed in integral form?

• M = ∫ x dm
• M = ∫ r² dm
• M = ∫ v dm
• M = ∫ dm

What is the centre of mass of a system of three particles of mass m at the corners of a right-angled triangle?

• At the right angle
• At the circumcentre
• At the centroid of the triangle
• At the midpoint of hypotenuse