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 a force A, as part a of the drawing shows. By itself, however, force A is insufficient. Therefore, two additional forces B and C are applied, as in part b of the drawing. Each of these additional forces has the same magnitude F. The magnitude of the resultant force acting on the elephant in part b of the drawing is k times larger than that in part a. Find the ratio

F
FA

when k = 2.10. (Take ? = 21.0°.)

F
FA

Explanation / Answer

2Fcos20 + Fa = 2Fa 2Fcos20 = Fa F/Fa = 1/(2cos20) ˜ 0.5320889 ˜ 0.532

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