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Calculating Tension, Horizontal Force, and Vertical Force

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A 22.5 kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole.
A cable at an angle of alpha=34.6 degrees with the beam helps to support the light.

1.) Find the tension in the cable.
2.) Find the horizontal force exerted on the beam by the pole.
3.) Find the vertical force exerted on the beam by the pole.

(see attached file for diagram)

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Solution Summary

This solution provides step by step calculations for finding tension, horizontal force, and vertical force.

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1. T * sin(alpha) = m*g
=>T = 22.5*9.8/sin(34.6 degree) = 388.48 (N)

2. ...

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