An object is said to be in static equilibrium if the sum of the forces acting on an object is zero. The weight described below is in static equilibrium. A 63-lb weight is suspended by three cables that are anchored at points P (-5, 1,0), Q (-2,-4,0), and R(21/5, 9/5, 0). The weight is located at S(0,0, –63/11);. Let F1, F2, and F3 be the forces of tension resulting from the load in cables SP, SQ, and SR, respectively. Note that because the weight counterbalances the the load in the three cables F1+ F2 + F3 + (0,0, –63) = (0,0,0), where F1 = a SP, F2 = b and F3 = c SR for some unknown scalars a, b, and c. First solve for the unknowns a, b, and c and use them to find the force vectors F1, F2, and F Feel free to use a computational solver like WolframAlpha.com to solve these equations.

An object is said to be in static equilibrium if the sum of the forces acting on an object is zero. The weight described below is in static equilibrium. A 63-lb weight is suspended by three cables that are anchored at points P (-5, 1,0), Q (-2,-4,0), and R(21/5, 9/5, 0). The weight is located at S(0,0, –63/11);. Let F1, F2, and F3 be the forces of tension resulting from the load in cables SP, SQ, and SR, respectively. Note that because the weight counterbalances the the load in the three cables F1+ F2 + F3 + (0,0, –63) = (0,0,0), where F1 = a SP, F2 = b and F3 = c SR for some unknown scalars a, b, and c. First solve for the unknowns a, b, and c and use them to find the force vectors F1, F2, and F Feel free to use a computational solver like WolframAlpha.com to solve these equations.