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Tension and Moments

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A 20.0 kg floodlight in a park is supported at the end of a horizontal beam of mass 20.0 kg and length L that is hinged to a pole (beam and pole are perpendicular). A cable at an angle of 30.0 degrees with the beam helps to support the light.
a) Find the tension in the cable.
b) Find the horizontal and vertical forces exerted by the beam on the pole.

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Solution Summary

This handwritten solution contains step-by-step calculations to determine tension and horizontal/vertical forces. An annotated diagram is included for further understanding.

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A uniform circular plate of radius 300 mm and mass 26 kg is supported by three vertical wires that are equally spaced arround its edge (see the attachment). A small 3 kg block E is placed on the plate at D and is then slowly moved along the diameter CD until it reaches C. a) Plot tension in wires A and C as function of a, where a is the distance of the block from D, b) Determine the value of a for which the tension in wires A and C is minimum.

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