How Do You Calculate Cable Tension in a Bird Feeder Setup?

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SUMMARY

The discussion focuses on calculating the tension in three cables supporting a 168 N bird feeder. The participant initially attempted to find the tension in the left cable using the equation sin(60) = 168/T, resulting in an incorrect tension of 336 N. The correct approach requires resolving the diagonal cables into their horizontal and vertical components, ensuring that the sum of the vertical components equals the weight of the bird feeder and that the horizontal components are equal and opposite. The participant seeks clarification on the equations for the horizontal and vertical net forces for the diagonal cables.

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Homework Statement



A 168 N bird feeder is supported by three cables, as shown in Figure P4.17. Find the tension in each cable.

picture can be found here: http://www.webassign.net/sf5/p4_13.gif

Homework Equations



all trig functions

The Attempt at a Solution



left cable:
sin(60) = 168/T
T = 336

this did not work when i put in the answer on webassign so i didnt even try for the right cableI think I'm doing something fundamentally wrong.
 
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The vertical cable should be straightforward. It bears the entire weight of the bird house (including whatever bird(s) and food happen to be supported by it).

The two diagonal cables have to be resolved into horizontal and vertical components.

The horizontal components must be equal and opposite (i.e. one force is the opposite of the other).

The sum of the vertical components must equal _________________?

Please write the equations for the horizontal and vertical net forces for the diagonal cables.


BTW, welcome to PhysicsForums!
 

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