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A long thin pliable carpet is laid on th...

A long thin pliable carpet is laid on the floor. One end of the carpet is bent back and then pulled backwards with constant unit velocity just above the part of the carpet which is still at rest on the floor. Speed of centre of mass of the moving part is `(2xx xmm)//sec`. Then find `(x)/(75)`?

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The correct Answer is:
5

Condinates of centre of mass after time t is
`x_(CM)=(3x)/(4)`

`V_(CM)=(dx_(CM))/(dt)=(3)/(4)(dx)/(dt)....(i)`
`(dx)/(dt)=V.....(ii)`
`V_(CM)=(3)/(4)V=(3)/(4)m//sec=750mm//sec`
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