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Find velocity of piston A in the given s...


Find velocity of piston A in the given situation if angular velocity of wheel of radius R is `omega` (constant) in the clockwise sense (O is fixed point)

A

`(xRomegasintheta)/(Rcostheta+x)`

B

`(x^(2)omegasintheta)/(Rcostheta-x)`

C

`(xRomegasintheta)/(Rcostheta-x)`

D

`(R^(2)omegasintheta)/(Rcostheta-x)`

Text Solution

Verified by Experts

The correct Answer is:
C
`costheta=(x^(2)+R^(2)-L^(2))/(2xR)implies2xRcostheta=x^(2)+R^(2)+L^(2)`
`2R{-xsintheta((d theta)/(dt))+costheta((dx)/(dt))}=2x(dx)/(dt)`
`xv=Rvcostheta-Rxomegasintheta`
`impliesv=((xRomegasintheta)/(Rcostheta-x))`
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