1. A uniform rod of length 8 m and weight 50 N rests on a support that is 2m from A. The rod is held in a horizontal position by a force F that acts vertically downwards at A. a.Work out the magnitude of F. b.Work out the reaction at the support. 2. A uniform rod of length 7 m and weight 100N rests horizontally on two supports. Work out the values of the reactions R1, and R2, acting at the supports. 3. A uniform rod AB of mass Mkg and length Im, is held horizontally in equilibrium by two vertical strings attached at points A and C where AC:CB= 3:1. Find, in terms of m, the tensions T, and T, in the strings attached to the rod at A and C respectively. 4. A uniform rod AB, of weight 30N and length 6m, sits horizontally in equilibrium on two supports at points C And D as shown in the diagram. The reactions of the supports on the rod at points C and D are Rc and Rd, respectively. Given that Rc = 4Rd, work out the length x.