The guy wires AB and AC are attached to the top of the transmission tower. The t
ID: 2961174 • Letter: T
Question
The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 7.7 kN. Determine the required tension T in cable AC such that the net effect of the two cables is a downward force at point A. Determine the magnitude R of this downward force.
The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 7.7 kN. Determine the required tension T in cable AC such that the net effect of the two cables is a downward force at point A. Determine the magnitude R of this downward force.Explanation / Answer
OA = 24 + 35 = 59 m
Tab = 7.7kN
Tac = ?
Angle ABO = arctan(59/37) = 57.9074 deg
Angle AC = arctan(35/49) = 35.5376 deg
sum of x-components = 0
Tab cos(57.9074) = Tac cos(35.5376)
7.7 * 0.5312 = Tac * 0.8137
Tac = 5.0267 kN
R = 7.7 * sin(57.9074 deg) + 5.0267 * sin(35.5376 deg)
R = 9.445 kN
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