Please see the attached file.
1. a 50-lb box is suspended by a rope from the ceiling. If a horizontal force of 20 lb is applied to the box, what angle will the rope make with the vertical?© BrainMass Inc. brainmass.com September 22, 2018, 2:42 pm ad1c9bdddf - https://brainmass.com/physics/equilibrium/angle-rope-vertical-196592
Please see the attached file for detailed solutions.
As shown in above FBD, in the equilibrium, the net force on the box is 0
In the ...
The solution shows how to calculate the angle of the rope with vertical which hangs the box from the ceiling.