14(3). The system shown in Fig. 12-10 is inequilibrium. Find (a) the tension T i

Question

14(3). The system shown in Fig. 12-10 is inequilibrium. Find (a) the tension T in the cable and(b) the force exerted on the strut S by the pivot P. The strut weighs 100 lb. I just used the sum of component forces at the maxis ( top ofthe crane ) and not one torque equation ? ( T = 448.2877 lb ; Px = 387.69 lb ; Py = 387.69 lb ...? ) This is not the correct answerbecause I did not consider all the torques ( if I had room I woulddraw the free-body diagram for the new answers I have --> T = 687.33 pounds ; PX   = - 1,019.51 pounds ; PY =  - 943.665 pounds .)

Explanation / Answer

No. You need the torques. . It's simple logic: there are three unknowns(Px   Py   and tension in the leftcable). So you need three equations: .     sum of horiz forces onstrut          sum ofvert forces onstrut         sum oftorques on strut . That's it... if you were able to solve for three unknowns withonly two equations, you are creating new mathematics. You shouldpublish and collect your Nobel Prize.

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