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A body is acted upon by a system of n forces. Write a computer program that can be used to calculate the equivalent force- couple system at the origin of the coordinate axes and to determine, if the equivalent force and the equivalent couple are orthogonal, the magnitude and the point of application in the xz plane of the resultant of the original force system. Use the program to solve the following: 1. A truss supports the loading shown. Determine the equivalent force acting on the truss and the point of intersection of its line of action with a line drawn through points A and G 2. Two 150- mm- diameter pulleys are mounted on line shaft AD. The belts at B and C lie in vertical planes parallel to the yz plane. Replace the belt forces shown with an equivalent force- couple system at A. 3. Three children are standing on a 5 x 5m raft. If the weights of the children at points A, B , and C are 375 N, 260 N, and 400 N, respectively, determine the magnitude and the point of application of the resultant of the three weights.