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A sphere of mass m and radius r rolls on...

A sphere of mass `m` and radius `r` rolls on a horizontal plane without slipping with a speed `u`. Now it rolls up vertically, then maximum height it would be attain will be

A

`(3u^(2))/(4g)`

B

`(5u^(2))/(2g)`

C

`(7u^(2))/(10g)`

D

`(u^(2))/(2g)`

Text Solution

Verified by Experts

The correct Answer is:
C
`mgh = 1/2 mv^(2) (1+(k^(2))/(R^(2)))`
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (C.W)
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  5. A uniform cylindrical rod of mass m and length L is rotating is pe...

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  9. A constant torque of 1000 N-m turns a wheel of moment of inertia 200 k...

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  10. If the angular momentum of a rotating body about an axis is increased ...

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  11. The angular frequency of a fan of moment of inertia 0.1kgm^2 is increa...

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  12. A sphere of mass m and radius r rolls on a horizontal plane without sl...

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  13. A circular ring starts rolling down on an inclined plane from its top....

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  14. A thin rod of length L is vertically straight on horizontal floor. Thi...

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  15. A wheel of radius 'r' rolls without slipping with a speed v on a ho...

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  16. A solid cylinder of mass m rolls without slipping down an inclined pla...

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  17. A metal disc of radius R and mass M freely rolls down from the top of ...

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  18. A hollow sphere rolls on a horozontal surface without slipping. Then ...

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  19. A disc is rolling the velocity of its centre of mass is V"cm" then whi...

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  20. A tangential force F acts at the top of a thin spherical shell of ...

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