A rigid body is acted upon by four forces and a couple as shown. (A) Replace the given system by a single force R. Show/locate R on the body indicating its magnitude, direction and position. (B) Find its equivalent system consisting of a single force acting at O and a couple. Draw this equivalent system.

3.45 (a) Replace the force system shown by an equivalent force-couple system with the force acting at point O. (b) Determine the equivalent wrench, and find the coordinates of the point where the axis of the wrench crosses the xy-plane. 8 kN 6 kN 1.5 m 6 kN 1.2 m 1.2 m Figure P3.45

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The figure below shows three forces of 20 lb each applied to a rectangular block1. Reduce the three forces to a single force and a single couple at the origin O2. Can the system be reduced to a single force? Please explain your answer3. Can the system be reduced to a single couple? Please explain your answer

Determine the force-couple system, with the force acting at point O, that is equivalent to the force and couple acting on the arm CD of the industrial robot. Note that the arm ABCD lies in a vertical plane that is inclined at 40◦ to the yz-plane; the arm CD makes an angle of 30◦ with the vertical.

Problem 3a: Find the magnitude of the resultant moment (couple) from the system of couples below. Also find the direction angles of the resultant couple. 15 lb 15 lb D 20 lb 18 lb 10 in. 8 in. 15 in. 18 lb 20 lb

An experimental device imparts a force of magnitude F = 57 lb to the front edge of the rim at A to simulate the effect of a slam dunk. Compute the moment of the force F about point O and about point B. The moments are positive if counterclockwise, negative if clockwise. Finally, locate a point Ċ from the base at O to the location on the ground where the force imparts zero moment. The distance d from point O to point Ċ is positive if C is to the right of O, and negative if to the left. Assume a = 36 in., b = 28 in., h = 12 in., H = 10 ft, c = 5, and d = 6. Answers: Mo= MB = d= i i Fel a h B b ST H F 73 lb-ft lb-ft ft