6-21* A 75-lb load is supported by an angle bracket, pul- ley, and cable as shown in Fig. P6-21. Determine (a) The force exerted on the bracket by the pin at C. (b) The reactions at supports A and B of the bracket. (c) The shearing stress on a cross section of the 4-in.- diameter pin at C, which is in double shear.
6-21* A 75-lb load is supported by an angle bracket, pul- ley, and cable as shown in Fig. P6-21. Determine (a) The force exerted on the bracket by the pin at C. (b) The reactions at supports A and B of the bracket. (c) The shearing stress on a cross section of the 4-in.- diameter pin at C, which is in double shear.
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Answer Problem 6-21 from P. 270-271 of your textbook, showing all work. Start the problem by drawing a carefully labelled free-body diagram for the forces on the pulley. From the FBD for the pulley you can find the force exerted on the pulley by the pin at C; the result is CP = -60 i + 120 j lb. Next, draw the FBD for the forces on the angle bracket. Don’t forget to include the reaction forces exerted on the bracket by the pin at C, where CB = - CP. Continue solving the problem by applying the scalar conditions of static equilibrium in 2D for rigid bodies to find the reaction forces at A and B. State these forces in both Cartesian form and engineering notation.
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