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A block of mass m kg is pushed up agains...

A block of mass m kg is pushed up against a wall by a force `P` That makes an angle 'theta' with the horizontal as shown in The coefficient of static friction between the block and the wall is `mu` The minimum value of `P` that allows the block to remain stationary is .

Text Solution

Verified by Experts

At equilibrium, `P sin theta + f = mg N =P cos theta`
`N =P cos theta f = (mg -P sin theta)`
`muN = (mg -P sin theta)`
`muP cos theta = mg- P sin theta, P [sin theta + mu cos theta] =mg`
`P=(mg)/((sin theta+mu cos theta))`
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