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A small disc is set rolling with a speed...

A small disc is set rolling with a speed v on the horizontal part of the track of the previous problem from right to left. To what height will it climb up the curved part?

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B, C, D
A disc is set rolling with a velocity v from right to left. It has attained a height h, therefore
`1/2mV^2+1/2Iomega^2=mgh`
`rarr 1/2mV^2+1/2xx1/2mR^2omega^2=mgh`
`rarr 1/2V^2+1/4V^2=gh` ltbr.gt `rarr (3/4)V^2=gh`
`rarr (3/4)V^2=gh`
`rarr h=(3/4(v^2/g)`
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HC VERMA-ROTATIONAL MECHANICS-Exercises
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  2. A metre stick weighing 240 g is pivoted at its upper end in such a way...

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  4. A cylinder rolls on a horizontal plane surface. If the speed of the ce...

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  5. A sphere of mass m rolls on a plane surface. Find its kinetic energy a...

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  6. A string is wrapped over the edge a uniform disc and the free end is f...

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  7. A small spherical ball is released from a point at a height h on a rou...

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  8. A small disc is set rolling with a speed v on the horizontal part of t...

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  9. A sphere starts rolling down can incline of inclination theta. Find th...

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  10. A hollow sphere is released from the top of an inlcined plane of incli...

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  11. Consider the situation as shown in the figure. A solid sphere of mass ...

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  12. Figure shows a rough track a portion of which is in the form of a cyli...

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  13. Figure shows a smasll sphereical bal of mass m rolling down the loop t...

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  14. A hollow sphere of radius R lies on a smooth horizontal surface. It is...

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  15. A uniform wheel of radius R is set lying on a rough horizontal surface...

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  16. A uniform wheel of radius R is set lying on a rough horizontal surface...

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  17. is the distance travelled by a body per unit time.

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  18. A solid sphere of mass 0.50 kg is kept on a horizontal surface. The co...

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  19. A solid sphere is set into motion on a rough horizontal surfce with a ...

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  20. A solid sphere rolling on a rough horizontl surface with a lilner spee...

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