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Ques) A block of mass m is paled at rest on a horizontal rough surface with the angle of friction @. The block is pulled with a force F at an angle theta with the horizontal.Show that the mmin value of F required to move the block is [mgsin@ ] / cos( theta - @).
here represent theta by x
frictional coeff. = tan @
on balancing forces :
in X-dirn : F cosx = f
where f = N.tan@
in Y-dirn.: Fsinx + N = mg
on solving, we get
F(cosx - tan@.sinx ) = mg.tan@
F = mg.sin@ / cos(x - @ )
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