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20 May 2012 12:12:07 IST

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lrotational

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a bobbin has an outer radius R kept on a rough surface. A light thread wound over it at a radius r is pulled horizontally with a velocity v. If the bobbin rolls without slipping. Calculate the speed of COM of bobbin.

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Rohan Vora

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20 May 2012 13:00:44 IST

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Let V_cmbe velocity of C.O.M..The thread is wound at a radius r..

Thus, V_cm+ωr=v..(1)

Also since it is in pure rolling, V_cm=ωR or ω=V_cm/R..(2)

From (1) and (2),we have

shashank shekhar

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22 May 2012 09:58:16 IST

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Gotia. Ans is Rv/R+r

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