The coefficient of friction between the block and the horizontal surface is $μ$ . The block moves towards right under action of horizontal force -F (figure-a). Sometime later another force P is applied to the block making an angle $θ$ (such that tan $θ$ = $μ$ ) with vertical as shown in (figure-b). After application of force P, the acceleration of block shall

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Infinity Learn · Accepted Answer

The free body diagram of block in fig. h is as shown.∴ N $$=$$ mg $$+$$ P $$cos$$ θand acceleration of blocka $$=$$ $$F+P$$ $$sin$$ θ$$-$$μ$$(mg+$$ P $$cos$$ θ$$)ma$$ $$=$$ $$F+P$$ $$sin$$ θ$$-$$$$sin$$ θ$$cos$$ θ$$(mg$$ $$+$$ P $$cos$$ θ$$)m$$ $$=$$ $$F-$$μmgmHence P does not change acceleration.

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