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A solid sphere of mass M and radius R, r...

A solid sphere of mass M and radius R, rolling down a smooth inclined plane, without slipping, reaches the bottom with a velocity v. What is the height of the inclined plane in terms of the velocity v ?

A

A cylinder of same mass but of smaller radius

B

A cylinder of same mass but of larger radius

C

A cylinder of same radius but of smaller mass

D

A hollow cylinder of same mass and same radius

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The correct Answer is:
D
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ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on rolling on incline plane)
  1. A solid cylinder of mass M and radius R rolls down an inclined plane o...

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  2. Solid cylinders of radii r(1),r(2) and r(3) roll down an inclined plan...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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