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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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(i) `(V_(P))/(V_(Q)) = (2R + x)/(x)`
`(2v)/(v) = (2R+x)/(x)`
`rArr" "2x = 2R + x" "therefore" "x = 2R`
`omega = (v_(Q))/(x) = (v)/(2R)`

(ii) `(V_(P))/(V_(Q)) = (2R - x)/(x)`
`(2v)/(v) = (2R-x)/(x)`
`therefore" "x = 2R//3`
`and omega = (V_(Q))/(x) = (3v)/(2R)`
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