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A uniform beam is hinged at one end and held in a horizontal position by a cable

ID: 1469235 • Letter: A

Question

A uniform beam is hinged at one end and held in a horizontal position by a cable. The image looks like http://members.shaw.ca/barry-barclay/Self-Tests/test06/Equili11.gif but without the numbers. Just the cable holding up the beam that is hinged to the wall. The tension in the cable: A) could be less than half the beam's weight for some angles. B) must be at least half the weight of the beam, no matter what the angle of the cable C) will equal the beam's weight for all angles. D) will be half the beam's weight for all angles.

Explanation / Answer

The vertical compoennt of tension in the cable must balance with the weight of the beam plus weight of the mass attached

Thus,  must be at least half the weight of the beam the correct option is B

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