A) Calculate the tension in the horizontal massless cable. B) Calculate the reac

Question

A) Calculate the tension in the horizontal massless cable.

B) Calculate the reaction force on the pivot A due to the rode

2. A traffic light hangs from a pole as shown in the figure above. The uniform aluminum pole AC is 12.0 m long, has a mass of 12.0 kg and is held in position by a massless cable. The mass of the traffic light is 22.0 kg and hangs vertically at a distance of 8 meters from the pivot. A) Calculate the tension in the horizontal massless cable. B) Calculate the reaction force on the pivot A due to the rode

Explanation / Answer

Summing torques,

T (12 m) sin 37 - (12.0)(9.8)(6 m) - (22.0)(9.8)(8 m) = 0

Thus,

T = 336.5 N   [ANSWER]

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The reaction force is just equal to the tension in the rope, [Newton's third law]

F = 336.5 N [ANSWER]

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