Consider the object shown in Fig. P4.73(a) with forces applied, where points A, B, and C lie on the lines of action of these forces, respectively. If
, show that these forces constitute a system of couples. Hint: Consider a point D whose location is arbitrary. Evaluate the moment of the three forces about point D and show that the result is independent of where D is located, as was done in Eqs. (4.13) and (4.14) on p. 233. Using Fig. P4.73(b), sketch a system of forces at points A, B, and C, including magnitudes, that will illustrate an example of the force system described in this problem.
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