Question

The boom AB is held in equilibriuum by a ball-andsocket joint at A and a pulley and cord system as shown. Determine the x, y, z components of reaction at A and the tension in cable DEC if F=-1500k lb. (Note that pulley at E is at the coordinates x = 0, y = 8 ft and z = 1 ft.)

2. The boom AB is held in equilibriuum by a ball-and socket joint at A and a pulley and cord system as shown. Determine the x, y, z components of reac tion at A and the tension in cable DEC if 4 ft 4 ft F--1500k lb. (Note that pulley at E is at the coordinates x-0,y-8 ft and z-1 ft.) 2 ft Ans T-918.5 lb 5 ft 5 ft 5 ft

Answer 1

Please let me know if you have any questions

Free body diagram sigma M = 0 gives T_BE 5/ squareroot 5^2 + 1^2 10 - 15 times 5 = 0 T_BE = 1677 51lb \r\n now for pulley we have 2 wires from the pulley therefore 2 (4/ squareroot 96)T - 1/ squareroot 5 times 1677 51 T = 918 5lb

Reaction at A in x direction will be zero

A_x = 0

A_y = 10 / sqrt (125) * 1677.051 = 1500 lb

A_z = 1500 - 750

A_z = 750 lb