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Will the distance S change (see preceding example) if the hill were to have a steeper slope for the same height h? Would the sledges move down a hill the base AB of which equals S (Fig.). the height h remaining the same?

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(a) For the same coefficient of friction the value of S will not change with a change in the slope of the hill. 

(b) The sledges will not move. At such an angle of inclination, tan α = h/s = k and the force of friction is equal to the component of the weight directed along the inclined plane.  

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