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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 3, Problem 103.

Three hikers are shown crossing a footbridge. Knowing that the weights of the hikers at points C, D, and E are 200 lb, 175 lb, and 135 lb, respectively, determine (a) the horizontal distance from A to the line of action of the resultant of the three weights when 3.3 ft,α = (b) the value of a so that the loads on the bridge supports at A and B are equal.