Tension of cables of unequal length

AI Thread Summary
In the discussion about the tension in cables of unequal lengths supporting a uniform mass, the main question revolves around whether the tensions T1 and T2 are equal. It is suggested that if the tensions were unequal, the mass would rotate around its center of mass, indicating that the tensions must indeed be equal to maintain equilibrium. The calculation of tension involves analyzing the forces and moments acting on the mass. The conversation emphasizes the importance of considering the center of mass and the balance of forces. Ultimately, for a uniform mass suspended by unequal cables, the tensions must be equal to prevent rotation.
mikejones222
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While doing some "what is the tension in cable" of hanging masses problems, I thought of the following scenario: a mass, uniform in density, is suspended by two cables of unequal length (See attachment)

Assuming that the mass is uniform in density, would T1 be the same as T2? Intuitively, it seems as though T1 may be less, but wasn't sure. If it's not, then how would one go about calculating the tension?
 

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    mass hanging slanted.png
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Hi mikejones222! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You draw the 3 forces: what you've shown together with weight acting down through the centre of mass. Sum of moments about any convenient point = 0. :wink:
 
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riiiight...if tensions were unequal, then the mass would rotate around it's center of mass...thanks:)
 

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