A 500 pound metal star is hanging on two cables which are attached to the ceiling. the left hand cable makes a 13 degree angle with the ceiling while the rigth hand cables makes a 77 degree angle with the ceiling. What is the tension on each of the cables

T1 = 112.07[lb]

T2 = 487.3 [lb]

Explanation:

To solve this problem we must perform a static balance analysis, for this we perform a free body diagram. In this free body diagram we use the angles mentioned in the description of the problem.

Performing a sum of forces on the X-axis equal to zero, we can find an equation that relates the tension of the T1 & T2 cables.

Then we perform a summation of forces on the Y-axis, in which we can find another equation. In this new equation, we replace the previous one and we can find the tension T2.

T1 = 112.07[lb]

T2 = 487.3 [lb]

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