Understanding Moment of Inertia

What is the moment of inertia used for?

• Measuring the weight of an object

• Determining the torque needed for a desired angular acceleration

• Calculating linear acceleration

• Estimating deformation in a rigid body

Which of the following best defines a rigid body?

• A body that can bend easily under force

• A body in which deformation is negligible

• A body with no mass

• A body that always rotates about a fixed point

What is the formula for the moment of inertia of a solid cylinder about its central axis?

• I = M * R ^ 2

• I = 1/2 * M * R ^ 2

• I = 1/12 * M * L ^ 2

• I = 2M * R ^ 2

For a thin rod rotated about its center, what is the moment of inertia formula?

• I = M * R ^ 2

• I = 1/12 * M * L ^ 2

• I = 1/2 * M * R ^ 2

• I = 1/5 * M * R ^ 2

The moment of inertia depends on which of the following?

• Shape of the object only

• Axis of rotation and mass distribution

• Weight of the object

• The speed of rotation

What is the moment of inertia formula for a hoop rotating about its central axis?

• I = (1/2) * M * R ^ 2

• I = M * R ^ 2

• I = (1/12) * M * L ^ 2

• I = 2M * R ^ 2

What is the moment of inertia formula for a solid sphere about its central axis?

• I = M * R ^ 2

• I = (2/5) * M * R ^ 2

• I = (1/2) * M * R ^ 2

• I = (1/12) * M * L ^ 2