ROTATIONAL MOTION

What is the condition for the center of mass to be at the origin?

• ∫ dm = 0
• M = 0
• R = 1
• ∫ r dm = 0

In the expression X = (1/M) ∫ x dm, what does x represent?

• The total length of the body
• The distance from the center
• The velocity in x-direction
• The x-coordinate of the mass element dm

For a homogeneous cube, where is the center of mass located?

• At one corner
• At the top face
• At the center of an edge
• At the geometric center

What is the physical meaning of the integral ∫ r dm?

• It gives the total kinetic energy
• It gives the angular momentum
• It gives the gravitational force
• It represents the total moment of mass about the origin

What is the significance of making ∆mi smaller and increasing n in the calculation of center of mass?

• It increases the total mass
• It makes the body heavier
• It changes the shape
• It makes the calculation exact