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 = 1.90. (Take ? = 19.0

Explanation / Answer

Fbcos19 + Fccos19 +Fa = 1.9Fa 0.94(Fb+Fc) = 0.9Fa => (Fb+Fc)/Fa = 0.957

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