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Mechanics

Cool goIITian

 Joined: 19 Apr 2012 Post: 53
20 May 2012 12:12:07 IST
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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.

Hot goIITian

Joined: 7 Feb 2011
Posts: 140
20 May 2012 13:00:44 IST
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Let Vcm be velocity of C.O.M..The thread is wound at a radius r..

Thus, Vcm+ωr=v..(1)

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

From (1) and (2),we have

or

Blazing goIITian

Joined: 1 Apr 2012
Posts: 381
22 May 2012 09:58:16 IST
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Gotia. Ans is Rv/R+r

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