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

AI Thread Summary
To calculate the tension and compression in a hanging restaurant sign, one must consider the forces acting on the system, including the weight of the sign and the angles involved. The sign, weighing 25 kg, is suspended from a horizontal pole and connected to a cable, creating a scenario where both tension in the cable and compression in the pole need to be determined. Utilizing the sine law may be a starting point, but understanding moments (torques) is crucial for solving the problem accurately. A diagram of the setup can aid in visualizing the forces at play. Proper analysis of these forces will lead to the correct calculations of tension and compression.
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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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