Question

A rope is fastened to two hooks 4.0m apart on a horizontal ceiling. To the rope is attached a 10kg mass so that the segments of the rope are 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 $T_1cos\beta = T_2cos\alpha$ , $T_1sin\beta + T_2sin\alpha = mg$

hence $T_1 = 92N, T_2 = 72 N.$