How Do You Calculate Tension and Compression in a Hanging Restaurant Sign?

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SUMMARY

The discussion focuses on calculating the tension and compression forces acting on a restaurant sign suspended from a horizontal pole and cable. The sign weighs 25 kg and is attached to a 1.25m pole and a 2.5m cable. Participants suggest using the sine law to relate the tensions in the cable and the pole, specifically the equation t1=t2*sin(angle2)/sin(angle1). Additionally, the concept of moments (torques) is recommended for solving the problem.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and equilibrium.
  • Familiarity with trigonometric functions, especially sine and angles.
  • Knowledge of torque and moment calculations.
  • Ability to draw and interpret free body diagrams.
NEXT STEPS
  • Study the application of the sine law in physics problems involving tension.
  • Learn how to calculate moments and torques in static equilibrium scenarios.
  • Explore the principles of forces acting on structures, particularly in engineering contexts.
  • Review examples of similar problems involving hanging signs or loads to reinforce understanding.
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Students studying physics, particularly those tackling problems related to forces and equilibrium, as well as educators looking for practical examples to illustrate these concepts.

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Homework Statement



a 25 kg restaurant sign hangs from a 1.25m horizontal pole with one end fastened at right angle to the brick wall of a restaurant and the other end fastened to a 2.5m cable . determine the force of compression actng on the pole and the tension in the cable.


Homework Equations



im totally clueless this is a past test question. i was thinking u could possible use the sin law

t1=t2sin(angle2)/sin(angle1) ?? this is where t is the tension. i would like help understanding how to calculate them.


Oh i drew the diagram so i know how it loks like

The Attempt at a Solution

 
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Try looking at moments (torques).
 

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