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The radius of gyration of a body depends...

The radius of gyration of a body depends upon

A

shape and size of body

B

nature of mass distribution of body

C

choice of axis of rotation

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
D
The radius of gyration does not depend on the total mass of a body but depends upon the shape and size of body, distribution of mass within the body and choice of rotation of axis.
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On what factors does the radius of gyration of a body depend ?

Value of radius of gyration of a body depends on axis of rotation. Radius of gyration is root mean square distance of particle of the body from the axis of rotation.

The dimensional formula for the radius of gyration of a body is

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Statement-1 : Radius of gyration of a body is a constant quantity. Statement-2 : The radius of gyration of a body about an axis of rotation may be defined as the root mean square distance of the particles of the body from the axis of rotation.

DC PANDEY-ROTATION-(C) Chapter Exercises
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  2. A body having a moment of inertia about its axis of rotation equal to ...

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  6. The conservation of angular momentum demands that

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  7. The moment of inertia (I) and the angular momentum (L) are related by ...

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  8. The moment of ineria (I) of a sphere of radius R and mass M is given b...

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  9. A particle mass m is attached to a thin uniform rod of length a at a d...

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  10. A particle moving in a circular path has an angular momentum of L. If ...

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  11. The torque of a force F = 2 hat(i) - 3 hat(j) +5 hat(k) acting at a po...

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  12. Moment of inertia of a disc of radius R about a diametric axis is 35 "...

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  13. A wheel having moment of inertia 2 "kg-m"^(2) about its vertical axis,...

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  14. What is the moment of inertia of solid sphere of density rho and radiu...

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  15. The radius of gyration of a body depends upon

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  16. Two discs have same mass and thickness. Their materials are of densiti...

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  17. If a disc starting from rest acquires an angular velocity of 240 "rev ...

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  18. A thin hollow sphere of mass m is completely filled with a liquid of m...

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  19. The moment of inertia of a circular loop of radius R, at a distance of...

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  20. A rod of length L is composed of a uniform length 1/2 L of wood mass i...

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