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Find the position of instantaneous centr...

Find the position of instantaneous centre of rotation and angular velocity of the disc in the following cases as shown. Radius of disc is `R` in each case.

Text Solution

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a. `(v_(P))/(v_(Q))=(2R+x)/x`
`=(2v)/v=(2R+x)/x x x`
`implies2x=2R+x:. x=2R`
`:. Omega=v_Q/x=v/(2R)`
`b. v_P/v_Q=(2R-x)/x`
`(2v)/v=(2R-x)/x`
`:. x=2R//3` and `omega=(v_(Q))/x=(3v)/(2R)`

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