ROTATIONAL MOTION

What does the expression ∫x dm represent in center of mass calculations?

• The total mass
• The kinetic energy
• The gravitational potential
• The first moment of mass about the yz-plane

What happens to the summation ∑∆mi as the mass elements become infinitesimal?

• It becomes zero
• It becomes infinite
• It remains the same
• It becomes ∫dm

How does increasing the number of mass elements (n) affect the accuracy of center of mass calculation?

• It decreases accuracy
• It has no effect
• It makes the calculation impossible
• It increases the accuracy

What is the primary assumption when treating a body as a continuous mass distribution?

• The body has no mass
• The mass is concentrated at one point
• The body is hollow
• The body is made up of infinitesimally small mass elements

What is the center of mass of a uniform pyramid with a square base?

• At the apex
• At half the height
• At three-fourths the height from the base
• At one-fourth the height from the base along the axis