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The distance between two telephone poles is d = 49.5 m. When a 1.50-kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.210 m. (a) Draw a free-body diagram of the bird. (b) How much tension does the bird produce in the wire? Ignore the weight of the wire.
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Here's the free-body:|dw:1329359401119:dw|by symmetry both tensions will have the same magnitude. The vertical components of the tensions cancel the force of gravity so the bird is at rest...
To find the tension in the wires we note that the vertical components of the tension due to each wire sum to the force of gravity.|dw:1329359587825:dw|\[\sum F_y=T_y-F_g=2T\sin\theta-mg=0\]solve for tension T.
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