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A ring and a disc of same mass roll with...

A ring and a disc of same mass roll without slipping along a horizontal surface with same velocity. If the `K.E.` of ring is `8J`, then that of disc is

A

2J

B

4J

C

6J

D

16J

Text Solution

Verified by Experts

The correct Answer is:
C
`m_(r) = m_(d) `
`v_(r) = v_(d)`
`K.E = 1/2 mv^(2) (1+1)`
`rArr 8 = 1/2 mv^(2) = 4 `
`K.E _(disc) = 1/2 mv^(2) (1+1/2) = 6J `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - I (C.W)
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  2. A mass is whirled in a circular path with an angular momentum L. If th...

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  3. The diameter of a disc is 1m. It has a mass of 20kg. It is rotating ab...

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  4. A particle performing uniform circular motion gas angular momentum L. ...

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  5. A constant torque acting on a uniform circular wheel changes its angul...

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  6. If the earth were to suddenly contract to 1//n^(th) of its present rad...

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  7. A thin circular ring of mass M and radius r is rotating about its axis...

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  8. If the radius of earth shrinks by 0.2% without change in its mass, the...

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  9. A metallic circular plate is rotating about its axis without friction....

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  10. An automobile engine develops 100H.P. when rotating at a speed of 1800...

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  11. An electric motor exerts a constant torque 5Nm on a fly wheel by which...

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  12. A circular disc of mass 0.41 kg and radius 10 m rolls without slipping...

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  13. A metre stick is held vertically with one end on the floor and is then...

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  14. The rotational kinetic energy of two bodies of moment of inertia 9 kg ...

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  15. A hollow sphere rolls down a 30^@ incline of length 6m without slippin...

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  16. A hollow sphere rolls down a 30^@ incline of length 6m without slippin...

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  17. A ring and a disc of same mass roll without slipping along a horizonta...

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

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  19. A thin uniform circular ring is rolling down an inclined plane of incl...

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  20. A thin circular ring first slips down a smooth incline then rolls down...

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