Hw 9 Flagpoles are often hinged at the base to facilitate maintenance. Suppose t

Question

Hw 9 Flagpoles are often hinged at the base to facilitate maintenance. Suppose that a particular flagpole is supported by two guy wires that each make a 35.0-degree angle to the pole. The guy wires are connected to opposite sides of the pole to a point 7.39 m from the ground. The tension in the guy wire on the left is 226 N and the tension in the guy wire on the right is 75.3 N. For this problem, take counterclockwise torque to be positive. 1: 35.0 35.0 Hinge (a) What is the torque created by the tension in the left wire acting on the flagpole about an axis that passes through the hinge and is perpendicular to the plane formed by the guy wires? N m (b) What is the torque created by the tension in the right wire about the axis through the hinge? N m | submit Answer

Explanation / Answer

Given,

r = 7.39 m ; T(L) = 226 N ; T(R) = 75.3 N

length of the wires will be:

L = 7.39/sin35 = 12.88 m

theta = 90 - 35 = 55 deg

Torque(L) = T(L) L sin(theta)

Torque(L) = 226 x 12.88 x sin55 = 2384.45 N-m

Hence, Torque(L) = -2384.45 N-m

b)Torque(R) = T(R) L sin(theta)

Torque(R) = 75.3 x 12.88 x sin55 = 794.47 N-m

Hence, Torque(R) = 794.47 N

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