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A sphere of mass m rolls on a plane surf...

A sphere of mass m rolls on a plane surface. Find its kinetic energy at an instant when its centre moves with speed v.

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A sphere having mass m roll on a plane surface. Let its radius be R. Its centre moves with a velocity . Therefore
Kinetic energy `=1/2Iomega^2+1/2mv^2`
`=1/2xx(2/5mR^2)xxv^2/R^2+1/2mv^2`
`=2/10mv^2+1/2mv^2`
`((2+5)mv^2)/10=7/10mv^2`
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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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  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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  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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