Calculate Tension in Rope: Principle of Moments Homework

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SUMMARY

The discussion centers on calculating the tension in a rope using the principle of moments. The user initially calculated the torque from the masses as 110 Nm, equating it to the torque generated by the rope's tension over a distance of 1.2m. This led to a calculated tension of 92N, which conflicted with the textbook answer of 100N. The discrepancy was identified as a result of an arithmetic error in the user's calculations.

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Marcus27
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Homework Statement


Calculate the tension in the rope, T, in the diagram below: http://imageshack.com/a/img905/2848/yMC01l.png

Homework Equations

The Attempt at a Solution


The 'beam' is a stable structure, thus the resultant forces be equal that are acting upon the beam. So,
I calculated the the Torque from the mass as being 150N * 0.6m + 100N * 0.3m = 110 Nm, setting this equal to the Torque generated by the 'force line' from the rope, T*1.2m = 110Nm, thus T rounded to the nearest Newton is = 92N. I Felt fairly confident with this until my textbook said the tension in the rope is = to 100N. Can anybody clear this up for me and explain where I went wrong, Thanks!.
 
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Marcus27 said:
150N * 0.6m + 100N * 0.3m = 110 Nm
Check your arithmetic, that's "the usual suspect."
 
Ah, thank you. I did not spot that mistake, sorry for wasting your time. Not a great first post on my part o:)
 
Do not let it ruin your day --- we've all been there.
 

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