1. The problem statement, all variables and given/known data The problem along with its solution is attached as TheProblemAndSolution.jpg. Here is the textual part of the attached image: “In Fig. 1 a 20 ft-frame PQ is supported at two points L and M, 6 ft and 4 ft respectively from the edges. If a 300 lb load is attached to edge Q, determine the range of load W that must be placed at P to keep the frame in equilibrium.” 2. Relevant equations Vectorial torque and force summations. 3. The attempt at a solution I actually understand the mathematical explanation that the solution gives, but I am trying to fully understand this theoretically. I get, mathematically, when we considering fulcrum L, for example, to be point from which we consider the rotation, that if W is toward the smaller value in its range, fulcrum M will apply a larger upward force to the frame, but how does the theory behind the vectorial sums take this into account? Basically, can someone give me a non-mathematical (or less-mathematical) explanation to why there is more than one value for W where there is no rotation (i.e., where the net torque is zero)? Any input would be greatly appreciated!