Question #221109

A boy pulls a wooden box along a rough horizontal floor at constant speed by means of a force P. In the diagram f is the magnitude of the force of friction, N is the magnitude of the normal force, and Fg is the magnitude of the force of gravity. Express the relationship of these forces?


Expert's answer

Forces at the horizontal direction cancel, therefore:PcosΘf=0:Pcos\Theta-f = 0 where, P>F;(0<Θ>90°)P>F ; (0<\Theta>90°)

Forces in the vertical direction also cancel therefore:

N+PsinΘfg=0N + Psin\Theta-{f_g} = 0

Where N=fgPsinΘ<fgN = {f_g}-PsinΘ< {f_g}

For each equation, we base on the fact that constant speed in one direction is zero acceleration

Therefore, P>fP>f

N<fgN<{f_g}


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