How Does the Cross Product Help Calculate Tension in a Cable?

AI Thread Summary
The discussion centers on calculating the tension in a cable supporting a horizontal boom and sign, with the total weight being 200 N. The cross product can be applied to determine the tension, but the angle of the cable relative to the horizontal is crucial for an accurate calculation. Participants express the need for additional information, such as the lengths involved and the specific angle of the cable. A diagram is referenced to clarify the setup, emphasizing the importance of visual aids in solving the problem. Overall, the tension in the cable is influenced by its angle, necessitating further details for precise computation.
Shay10825
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In the problem:
A horizontal boom supporting the sign is of uniform construction and weighs 50 N. If the sign weighs 150 N, the tension in the supporting cable is?

Could I use the cross product and if so how? The answer is 350 N.
 
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Do you have a diagram? Is the cable at an angle, or is it vertical? Where's this sign you mention?
 
http://img121.exs.cx/img121/4286/2882.jpg
 
Hmmm...is that all the info? Do we have some lengths, or the angle of the cable from the horizontal?
 
The tension in the cable definitely depends on the angle it makes with the horizontal, so we need to know that to solve the problem.
 

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