Question

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

Answer 1

according to the cosine theorem $\cos\alpha = 0.88, \cos\beta = 0.69, \\\sin\alpha = 0.47, \sin\beta = 0.72.$

from equilibrium $T_1\cos\beta = T_2\cos\alpha,$$T_1\sin\beta + T_2\sin\alpha = mg,$

hence $T_1 = 92~N, T_2 = 72 ~N.$