ROTATIONAL MOTION

What is the effect of doubling the angular velocity on the axial angular momentum of a symmetric body?

• It halves
• It remains unchanged
• It quadruples
• It doubles the axial angular momentum

In the derivation of L_z = I ω, why is symmetry about the axis assumed?

• To reduce mass
• To increase speed
• To ensure L_⊥ cancels out and L is purely axial
• To eliminate gravity

What is the main difference between angular momentum and linear momentum in terms of vector alignment?

• Both are scalars
• They are always perpendicular
• p is always parallel to v, but l is not necessarily parallel to ω
• l is always parallel to ω

How is the moment of inertia related to the distribution of mass in a rotating body?

• It decreases with mass
• It is independent of distance
• It increases with greater mass or distance from the axis
• It depends only on color

What is the consequence of rotating a body about an axis that is not a symmetry axis?

• Rotation becomes frictionless
• Kinetic energy vanishes
• L_⊥ does not cancel, so total L is not aligned with the axis
• Angular speed doubles