A1200 kg steel beam is supported by two ropes. each rope has a maximum sustained tension of 6400 n.. does either rope break? if so, which one( rope 1, rope 2, or none? . what is the tension in each rope? . rope 1 (in n). rope 2 (in n).

The weight of the object is


Now we have to write the equations of equilibrium on both axis, horizontal and vertical one. Calling T1 the tension of the rope on the left, T2 the tension of the rope on the right, the two equations are:
x-axis:
y-axis: 

Let's solve the system. From the first equation we find:

and if we substitute into the second equation, we get:

--> this is the tension in the second rope

And by substituting into the first equation, we find:
--> this is the tension in the first rope

The maximum tension the two ropes can sustain is 6400 N: therefore, from the value of  and , we see that the first rope won't break, while the second rope will break.

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