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MOMENT OF INERTIA

Rotational Analogue

Question 1

Moment of Inertia is the Rotational analogue of Mass for Linear motion

Question 2

Moment of Inertia is a property of the body making rotational motion

Facts about Moment of Inertia

Question

Moment of inertia tells how difficult it is to rotate an object

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Answers

In rotation about a fixed axis, the moment of inertia plays a similar role as mass does in linear motion

Moment of Inertia depends only on the mass of the rotating body

Moment of Inertia is independent of the magnitude of the angular velocity

The moment of inertia is not a fixed quantity but depends on distribution of mass about the axis of rotation

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Radius of Gyration

Question

The radius of gyration of a body about an axis may be defined as the distance from the axis of a mass point whose mass is equal to the mass of the whole  body and whose moment of inertia is equal to the moment of inertia of the body about the axis

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Answers

Radius of Gyration depends on total mass of the body and axis of rotation

Radius of Gyration depends on distribution of mass  and axis of rotation

Radius of Gyration depends on angular velocity of the body and axis of rotation

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