**Minimum Force Required to Slide a Body on a Rough Horizontal Plane**Let a body A of weight W is resting on a rough horizontal plane B, as shown in Fig. 1.19. Let an effort P is applied at an angle Î¸ to the horizontal, such that the body just begins to move. From Fig. 1.19, we find that

For P to be minimum, cos (Î¸ - Ï•) should be maximum, i.e.

cos (Î¸-Ï•)=1 or Î¸-Ï•=0 or Î¸=0

In other words, the effort P is minimum when its inclination (Î¸) with the horizontal is equal to the angle of friction (Ï•).

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