A disc is rolling without slipping with ...

A disc is rolling without slipping with linear velocity `v` as shown in figure. With the concept of instantaneous axis of rotation, find velocities of point A, B, C and D.

Text Solution

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`v=romega`, where `r` is the distance from A (position of instantaneous axis of rotation)
For A, `r=0impliesv_(A)=0`
For B and D, `r=sqrt(2)R`
`impliesv_(B)=v_(D)=sqrt(2)Romega=sqrt(2)v`
for C, `r=2Rimpliesv_(C)=2Romega=2v`
Direction of velocity of a general point `P` perpendicular to AP in the sense of rotation.

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