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A cylinder of mass M and radius R rolls ...

A cylinder of mass M and radius R rolls on an inclined plane. The gain in kinetic energy is

A

`(1)/(2)Mv^(2)`

B

`(1)/(2)Iomega^(2)`

C

`(3)/(4)Mv^(2)`

D

`(3)/(4)Iomega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on rolling on incline plane)
  1. Solid cylinders of radii r(1),r(2) and r(3) roll down an inclined plan...

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  2. A solid sphere of mass M and radius R, rolling down a smooth inclined ...

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  3. A body starts rolling down an inclined plane of length L and height h....

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  4. A hollow cylinder is rolling on an inclined plane, inclined at an angl...

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  5. If a ring, a disc, a solid sphere and a cyclinder of same radius roll ...

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  6. A ball of radius 11 cm and mass 8 kg rolls from rest down a ramp of le...

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  7. From an inclined plane a sphere, a disc, a ring and a shell are rolled...

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  8. A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0...

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  9. A cylinder of mass M and radius R rolls on an inclined plane. The gain...

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  10. A disc of radius R is rolling down an inclined plane whose angle of in...

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  11. A solid cylinder (i) rolls down (ii) slides down an inclined plane. Th...

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  12. The acceleration of a body rolling down on an inclined plane does not ...

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  13. If a ring, a disc, a solid sphere and a cyclinder of same radius roll ...

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  14. A ring is rolling on an inclined plane. The ratio of the linear and ro...

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  15. The M.I. of a solid cylinder about its axis is I. It is allowed to roo...

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  16. A solid cylinder of mass M and radius R rolls down an inclined plane o...

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  17. A ring takes time t(1) in slipping down an inclined plane of length L,...

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  18. A ring of radius 4a is rigidly fixed in vertical position on a table. ...

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  19. A disc of mass M and radius R rolls on a horizontal surface and then r...

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  20. Two uniform similar discs roll down two inclined planes of length S an...

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