A uniform pole of 2.5m length and 4.0kg mass is suspended horizontally from the side of a building where it is affixed with a hinge. It is held in place by a wire that extends from the unattached end of the pole at an angle of 53 degrees and attached firmly to the wall. A 10.0kg mass is hanging from the end of the pole as well under the influence of gravity. a. Draw a picture of the situation. b. Draw a comprehensive free body diagram showing the force on the wire, the mass, the pole, and both the horizontal and vertical forces on the hinge. c. Use the hinge as the axis of rotation and balance the vertical torques and determine the tension in the wire. d. Use inertial dynamics to find the horizontal and vertical forces on the hinge.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
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Problem 6.66P: A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight....
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A uniform pole of 2.5m length and 4.0kg mass is suspended horizontally from
the side of a building where it is affixed with a hinge. It is held in place by a
wire that extends from the unattached end of the pole at an angle of 53 degrees and
attached firmly to the wall. A 10.0kg mass is hanging from the end of the pole
as well under the influence of gravity.
a. Draw a picture of the situation.
b. Draw a comprehensive free body diagram showing the force on the wire,
the mass, the pole, and both the horizontal and vertical forces on the
hinge.
c. Use the hinge as the axis of rotation and balance the vertical torques and
determine the tension in the wire.
d. Use inertial dynamics to find the horizontal and vertical forces on the
hinge.

 
 
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