Cable Tension Calculation Confirmation

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SUMMARY

The discussion centers on calculating cable tensions in a system supporting a 49 kg crate at an angle of 57°. The calculated tensions are T1 = 300.06 N, T2 = 480.20 N, and T3 = 566.24 N. However, users indicate that T1 and T3 values are incorrect, suggesting a need for recalculation. The correct relationships are established through the equations T2 = mg, T3sinθ = T2, and T1 = T3cosθ.

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Homework Statement


A system of cables is used to support a crate of mass m = 49 kg as shown in the figure below (θ = 57°). Find the tensions in all three cables.

question 4.JPG



Homework Equations



T2=mg

T3sinθ=T2

T1=T3cosθ


The Attempt at a Solution



So I calculated everything to be:

T1 = 300.06N
T2 = 480.20N
T3 = 566.24N

I believe my answer is correct, however, everytime I input T1 into the online assignment, the answer is wrong. I am wondering if anyone can confirm my answers.

Thanks
 
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T2 looks good, but T3 is a bit off and T1 even more so. Redo your calculation of T3 and T1.
 

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