Problem #2: A 50.0-kg sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 400.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find a. the tension in the supporting cable b. the force of the hinge on the strut (magnitude and direction).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Dynamics
Section: Chapter Questions
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**Problem #2:** A 50.0-kg sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 400.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find:
- a. the tension in the supporting cable
- b. the force of the hinge on the strut (magnitude and direction).

**Diagram Explanation:**
- A wall is depicted on the left side of the diagram with a horizontal strut extending 4.0 m to the right.
- A sign labeled "GAS" hangs vertically from the end of the strut.
- A cable runs diagonally from the right end of the strut to a point on the wall 3.0 m above the hinge.
- The distances provided are: 5.0 m as the hypotenuse from hinge to the wall attachment point, 3.0 m vertically from the hinge to cable attachment on the wall, and 4.0 m horizontally as the length of the strut.
Transcribed Image Text:**Problem #2:** A 50.0-kg sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 400.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. Find: - a. the tension in the supporting cable - b. the force of the hinge on the strut (magnitude and direction). **Diagram Explanation:** - A wall is depicted on the left side of the diagram with a horizontal strut extending 4.0 m to the right. - A sign labeled "GAS" hangs vertically from the end of the strut. - A cable runs diagonally from the right end of the strut to a point on the wall 3.0 m above the hinge. - The distances provided are: 5.0 m as the hypotenuse from hinge to the wall attachment point, 3.0 m vertically from the hinge to cable attachment on the wall, and 4.0 m horizontally as the length of the strut.
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