1st ASSIGNMENT OF ENGINEERING MECHANICS 1. A force and couple are applied to beam. a. Replace this system with a single force F applied at point G, and determine the distance d. b. Solve part (a) assuming that the directions of the two 600-N forces are reversed. 2. The boom on a 4300-kg truck is used to unload a pallet of single of mass 1600 kg. determine the reaction at each of the two: a. Rear wheel, B b. Front wheel, C. 3. Gears A and B are attached to a shaft supported by bearings at C and D. the diameters of gears A and B are 150 mm and 175 mm, respectively, and the tangential and radial forces acting on the gears are shown. Knowing that the system rotates at a constant rate, determine the reactions at C and D. assume that the bearing at C does not exert any axial force, and neglect the weights of the gears and the shaft. 4. Determine the reactions at the beam supports for the given loading.