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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 figure. 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

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`P sin theta + f=mg`
`f=(mg-P sin theta)`
`mu N =(mg-P sin theta)`
`mu P cos theta = mg-P sin theta`
`P[sin theta+mu cos theta]=mg`
`P=(mg)/((sin theta + mu cos theta))`
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