Answer to Question #87127 in Mechanics | Relativity for Udy Eyo

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 segments of the rope are 3m and 2m. Compute the tension in each segment

Answer 1

In equilibrium T₁sinα = T₂sinβ and T₁cosα + T₂cosβ = mg. Geometry gives sinα = 11/16, sinβ = 7/8, respectively T₁ = T₂14/11 and T₂(14*0.73/11 + 0.48) = 100, what means T₂ = 71 N and T₁ = 90 N.