Moment of Inertia

The moment of inertia:

• is synonymous with mass

• does not depend on where the mass is located

• resistance to a change in rotational inertia

• more resistance to change = less inertia

Objects A, B, and C all have the same mass, all have the same outer dimension, and are all uniform. Rank these objects in order of their moment of inertia about an axis through its center (shown in blue), from largest to smallest.

• BCA

• ABC

• CAB

• BAC

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?

• A

• B

• C

• D

A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?

• cylinder

• pipe

• sphere

• They all reach the bottom at the same time.

A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,

• her moment of inertia increases and her angular speed decreases.

• her moment of inertia decreases and her angular speed increases.

• her moment of inertia increases and her angular speed increases.

• her moment of inertia increases and her angular speed remains the same.

A solid  metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?

• A

• B

• C

• D

The measure of the body’s resistance to angular acceleration is called ___________

• Mass moment of inertia of a body

• Volume moment of inertia of a body

• Line moment of inertia of a body

• Gauss moment of inertia of a body

We define the moment of inertia of a body as________

Determine the mass moment of the area of the cylinder given below.

Two of the things of the composite materials are to be known so that their mass moment of inertia can be varied. Which of the following is one of them?

• Weight of the centre of gravity

• Weight of the body

• Location of the centroid of gravity

• Location of the centre of mass