1. The problem statement, all variables and given/known data A worker is trying to lift a 100lb bucket. Assume that the bucket is in static equilibrium as it is raised from 2ft to 18ft. Find the tension in the rope as a function of y. 2. Relevant equations 3. The attempt at a solution I solved for angle, a, which cam out to be: arctan(4/(20-y)) Then I solved for the x and y components of the tension vector using: T_x=50lb(a+90) and T_y=50lb(a+90) I divided the weight by 2 because there are 2 ropes Then I solved for tension with: sqrt(T_x^2+T_y^2) The problem I am seeing is that the tension is constant at 30lb no matter the angle, a. I do not think that this should be the case. Could somebody point out where I went wrong? Thank you!