Moment of Inertia and Angular Momentum

Which of the following correctly describes the moment of inertia?

• It measures an object’s resistance to translational motion.

• It depends only on the shape of the object, not on the mass.

• It measures an object’s resistance to rotational motion.

• It is the same for all axes of rotation for a given object.

The Parallel Axis Theorem states that the moment of inertia about any axis parallel to the centroidal axis (center of mass, CM) is given by:

• 
• 
• 
• 

What is the SI unit of angular momentum (L)?

• kg m/s²

• kg m²/s

• N m

• kg m/s

A particle of mass 3 [kg] moves in a circle of radius 2 [m] with a velocity of 5 [m/s].
What is its angular momentum about the center of the circle?

• 15 [kg·m²/s]

• 20 [kg·m²/s]

• 25 [kg·m²/s]

• 30 [kg·m²/s]

A solid sphere of mass 2 [kg] and radius 0.5 [m] rotates with an angular velocity of 10 [rad/s]. What is its angular momentum about its center?
(Moment of inertia of a solid sphere about its center: I = (2/5)MR^2)

• 1 [kg·m²/s]

• 2 [kg·m²/s]

• 4 [kg·m²/s]

• 8 [kg·m²/s]

The rate of change of angular momentum is equal to:

• Force

• Power

• Torque

• Angular displacement