The mast OA is supported by three cables. If cable AB is subjected to tension T, determine

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The mast OA is supported by three cables. If cable AB is subjected to tension T, determine the tension in cables AC and AD and the vertical force F which the mast exerts along its axis on the collar at A.
Given:
T = 500 N
a = 6 m
b = 3 m
c = 6 m
d = 3 m
e = 2 m
f = 1.5 m
g = 2 m


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