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.

Find the position of instantaneous centre of rotation and angular velo

1.	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.
Answer» <P> SOLUTION :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)`