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Shown in the figure is rod which moves w...

Shown in the figure is rod which moves with `v=2ms^(-1)` and rotates with `omega=2pirads^(-1)`. Find the instantaneous axis of rotation.

Text Solution

Verified by Experts

Let `P` be a point passing through instantaneous axis of rotation.
Therefore `v_(P)=0`
`implies |vecv_(PO)+vecv_(O)|=0`
`implies v_(PO)-v_(O)=0impliesv_(PO)=v_(O)`

where `v_(0)=v` and `v_(PO)=(OP)omega`
`implies (OP)omega=vimplies OP=v/omega2/(2pi)=1/(pi)m`
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