Find tension with two cables at different angles

AI Thread Summary
A weight of 5000 N is suspended by two cables, with one cable horizontal and the other at a 143° angle. To find the tension in the first cable, the problem requires applying the principles of equilibrium, where the net force is zero due to the object being at rest. The horizontal force from the first cable must equal the horizontal component of the second cable's tension, while the vertical component of the second cable's tension must balance the weight of the object. The discussion emphasizes using trigonometric functions to resolve the forces into horizontal and vertical components. Understanding these relationships is crucial for solving the tension problem effectively.
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Homework Statement



A weight of 5000 N is suspended by two cables. The object is at rest. The first cable is horizontal and the second makes an angle of 143 ° with the first cable. Find the tension of the first cable.


Homework Equations


Erm...I know it's something with sin or cosin.


The Attempt at a Solution


My teacher hasn't given us any equations that have to do with tension, so I am completely and utterly lost. Any help would be greatly appreciated!
It's multiple choice and the possible answers are
4000 N
6640 N
8310 N
3340 N
 
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if the object is at rest, then accelersation is zero.
if accelaration is zero, then the net force is zero.
 
The tension is just the force exerted by the cables.

Have you made a drawing and applied the three forces working?
 
Indeed, there is some sin or cos involved. As mentioned above, the acceleration is zero. What does this imply about the vertical part of the tension?
 
if you break the problem into a horizontal and a vertical part, the sum of forces should be 0 in each of these.

in the horisontal, the force on cable 1 must be equal to the HORIZONTAL PART of the force of cable 2.

In the vertical the VERTICAL PART of cable 2 must balance gravity.

Agree?
 
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