Question #266305

A rope 5m long is fastened to two hooks 4m apart on a horizontal ceiling to the rope is attached a 10kg mass so that the segment of the rope is 3m and 2m. Compute the tension in each segment

1
Expert's answer
2021-11-15T14:00:17-0500

according to the cosine theorem cosα=0.88,cosβ=0.69,sinα=0.47,sinβ=0.72.\cos\alpha = 0.88, \cos\beta = 0.69, \\\sin\alpha = 0.47, \sin\beta = 0.72.

from equilibrium T1cosβ=T2cosα,T_1\cos\beta = T_2\cos\alpha,T1sinβ+T2sinα=mg,T_1\sin\beta + T_2\sin\alpha = mg,

hence T1=92 N,T2=72 N.T_1 = 92~N, T_2 = 72 ~N.

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