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Moment of inertia in rotational motion i...

Moment of inertia in rotational motion is analogus to mass in linear motion.The moment of inertia of a circular disc about an axis perpendicular to the plane, at the centre is given by.

A

`(MR^2)/4`

B

`(MR^2)/6`

C

`(3MR^2)/2`

D

`(MR^2)/2`

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The correct Answer is:
D
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Moment of inertia plays the same roll in rotational motion as mass in linear motion. The moment of inertia of a body changes when the axis of rotation changes.If the moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is (MR^2)/2) ( M is the mass of the disc and R its radius). Determine its moment of inertia about a diameter and about a tangent.

Moment of inertia is also called rotational inertia.Why?

What is the equation of the moment of inertia of a disc about an axis passing through its center and measured perpendicular to its plane?

Moment of inertia of a ring about an axis passing through the center is MR^2 . The moment of inertia about a diameter can be found using the perpendicular axis theorem.Obtain the expression for the moment of inertia of a ring about its diameter.

MAXIMUM PUBLICATION-SYSTEM OF PARTICLE AND ROTATIONAL MOTION-EXERCISE
  1. State the parallel axes theorem on moment of inertia.

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  2. A coin is rolling on a plane surface. What fraction of its total kinet...

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  3. What do you mean by the center of mass of a rigid body?

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  4. State the perpendicular axis theorem.

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  5. Two identical concentric rings each of mass M and radius R are placed ...

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  6. Derive the mathematical relation between angular momentum and torque.

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  7. A solid sphere is rotating about a diameter at an angular velocity ome...

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  8. The rotational analogue of force is moment of force, also called torqu...

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  9. The rotational analogue of force is moment of force, also called torqu...

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  10. The rotational analogue of force is moment of force, also called torqu...

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  11. Classical dancers bring their hands closer to their body to rotate fas...

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  12. A wheel rolls along a straight line. Derive an expression for its tota...

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  13. The rotational analogue of force is

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  14. Moment of inertia about a diameter of a ring is(IO= (MR^2)/2)Draw a di...

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  15. Moment of inertia about a diameter of a ring is(IO= (MR^2)/2)Draw a di...

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  16. The rotational analogue of mass is...........

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  17. The angular momentum of a particle is the rotational analogue of its l...

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  18. Starting from the equation connecting angular momentum and linear mome...

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  19. Moment of inertia in rotational motion is analogus to mass in linear m...

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  20. What is the moment of inertia of a disc about one of its diameter?

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