Calculating Tension: Homework Statement Q33

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The discussion revolves around calculating tensions T1 and T2 in a system where a bag is hanging in equilibrium. It emphasizes that the sum of vertical forces must equal zero, and horizontal forces must be equal and opposite, challenging the assumption that tensions in the ropes are equal due to different angles. A free-body diagram is recommended to simplify the problem and identify errors in the initial equations. Ultimately, the correct approach leads to finding the right answer for the tension calculations. Understanding the equilibrium conditions is crucial for solving such problems accurately.
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Homework Statement


Question 33. Just T1 and T2 are okay, I know T3
20150720_194737.jpg


Homework Equations


F=ma

The Attempt at a Solution


325/2 = 162.5N

For T1: (162.5)(sin 60)

For T2: (162.5)(sin 40)

Thanks!
 
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And you would be wrong.

The bag is hanging in equilibrium, according to the problem statement, so not only must the sum of the forces in the vertical direction equal zero, the horizontal forces must also be equal and opposite.

You can't blindly assume that the tension in each rope is equal, given the unequal size of the angles the ropes make with the horizontal.
 
This is not correct. Why do you think that the weight is equally supported by the two wires?

Chet
 
Before solving the problem, you need to simplify the problem by using free-body diagram. And then you can realize what is wrong in your equations.
 
thank you guys, I got the right answer.
 

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Thread 'A cylinder connected to a hanging mass'

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