Will Either Rope Break Supporting a 1000kg Steel Beam?

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The discussion revolves around whether either of the two ropes supporting a 1000kg steel beam will break, given their maximum tension limits of 6000N. Calculations show that Rope 1 experiences a tension of 5638N while Rope 2 experiences 5196N, both of which are below the maximum threshold. However, the consensus is that the initial calculations were incorrect, particularly regarding the angles used. It is suggested to apply F=ma for both the x and y components to derive two equations, which can then be solved for accurate tension values. Ultimately, the conclusion is that Rope 1 will break first, followed by Rope 2, based on the correct application of physics principles.
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Homework Statement


A 1000kb steel beam is supported by two ropes. Each rope as a maximum sustained tension of 6000N. Does either rope break? If so, which one(s)?

http://img101.imageshack.us/img101/3930/diagramgm2.jpg

Homework Equations


Tension = M cos/sin theta
(in this case it is cos)

The Attempt at a Solution


Rope1 = 6000cos20 = 5638N
Rope2 = 6000cos30 = 5196N
W=1000*9.8 = 9800N / 2 = 4900N so no It does not break, but the answer says rope 1 breaks first and then rope 2
 
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the equations you used are wrong. as well as the angles you used.

you need to use F=ma for the x and y components and you will get 2 equations of 2 variables which you can solve as a matrix or plugging it into your calculator.

for the x-component the tensions cancel out right?
and for the y-component the tensions will equal to the weight of the beam?
 
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