BY Team Aakash Byju's

What Is Moment of Inertia?

Explainer From NCERT Physics Book

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The resistance offered by the mass of a body in its state of linear motion is known as Inertia.

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Rotational inertia rises for rotating bodies. Rotational inertia is known as the moment of inertia.

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Moment of inertia about a given axis of rotation resists a change in its rotational motion. 

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A rigid body in which a given line is held fixed is the rotation of the rigid body about the given line. This imaginary line is the axis of rotation.

AXIS OF ROTATION

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The body's entire mass is distributed at different distances from the axis of rotation.

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Centre of mass of a particle depends on the geometric centres of regular bodies.

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Rotational inertia depends upon the orientation and position of the axis of rotation.

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The mass of the rotating body is distributed with respect to the axis of rotation. The moment of inertia depends on the radius of gyration.

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It is about an axis distance from the axis of a mass point whose mass equals the mass of the whole body.

RADIUS OF GYRATION

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Moment of inertia of a uniform circular plate about an axis. I = MR2/2

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Moment of inertia of uniform solid cylinder about an axis. I = MR2/2

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Application of Moment of Inertia 

Machines such as steam engines and automobile engines produce rotational motion and have a large amount of inertia known as a flywheel.

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Flywheel restricts jerks, thereby ensuring a smooth ride for passengers on vehicles. The kinetic energy of the rotating body  = 1/2*I w2