A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a

Question

A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply force vector F A, as part (a) of the drawing shows. By itself, however, force vector F A is insufficient. Therefore, two additional forces vector F B and vector F C are applied, as in part (b) of the drawing. Each of these additional forces has the same magnitude F and is oriented at ? = 20.0? away from vector F A. The magnitude of the resultant force acting on the elephant in part (b) of the drawing is five times that in part a. Find the ratio F / FA.

Explanation / Answer

F = Fa + F cos 20 + F cos 20 = Fa + 1.8793 F = 5 Fa 1.8793 F = 4Fa F/ Fa = 2.1284

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