A 50 kg pole extends up a wall, making a 60° angle with the wall. The pole is supported by a cable attached 3/4 of the way along the pole. This support cable is perpendicular to the wall. A 10 kg sign hangs from the end of the pole. The pole’s center of mass is 1/3 of the way from the wall to the end of the pole. (a) What is the tension in the cable? (b) What are the x and y components of the force the wall exerts on the pole? You must include an extended free body diagram showing all forces acting on the pole. Label the location on the pole you will use a reference for measuring distances (the “axis of rotation”) at the point where the pole touches the wall. Thank you!

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.39P: The bent rod of negligible weight is supported by the ball-and-socket joint at B and the cables...
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A 50 kg pole extends up a wall, making a 60° angle with the wall. The pole is supported by a
cable attached 3/4 of the way along the pole. This support cable is perpendicular to the wall.
A 10 kg sign hangs from the end of the pole. The pole’s center of mass is 1/3 of the way from
the wall to the end of the pole.

(a) What is the tension in the cable?
(b) What are the x and y components of the force the wall exerts on the pole?
You must include an extended free body diagram showing all forces acting on the pole. Label
the location on the pole you will use a reference for measuring distances (the “axis of rotation”) at the point where the pole touches the wall.

Thank you!

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