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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Question
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.
![THE
3 in.
18 in.
75 lb
A
C
3
10 in.
Figure P6-21
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd38207d4-6ced-4d05-8afd-bfb5ec38ee10%2F539b9d5f-dfd4-4ec5-bf84-73c5392f6719%2Fd45xc7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:THE
3 in.
18 in.
75 lb
A
C
3
10 in.
Figure P6-21
B
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd38207d4-6ced-4d05-8afd-bfb5ec38ee10%2F539b9d5f-dfd4-4ec5-bf84-73c5392f6719%2Fp2r9e7a_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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