Optimal force angle for moving box with friction · CAP 2003 #12

Physics · mechanics

Problem

You want to apply a force on a box so that it moves with constant speed across a horizontal floor. The coefficient of kinetic friction between the box and the floor is μk\mu_k. Of the four following cases, the force you apply on the box will be smallest when you (a) push on it with a force applied at an angle 0<θ<90°0 < \theta < 90° downward from the horizontal; (b) pull on it with a force applied at the same angle θ\theta as in (a), upward from the horizontal; (c) do either (a) or (b) since the applied force is the same; (d) push or pull with a force applied horizontally.

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