Calculating tension in each of 3 strings

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The discussion revolves around calculating the tension in three strings of unequal lengths supporting a 50g mass, with two strings positioned in the i and j planes and a third string potentially in the k or k-j plane. Participants emphasize the importance of defining the angles and orientations of the strings, as these will affect the tension calculations. It is noted that the problem may have infinite solutions depending on the arrangement, and a free body diagram is recommended for clarity. Suggestions include making the string lengths as symmetric as possible to simplify the calculations. Overall, the key to solving the problem lies in understanding the geometric configuration and applying the principles of equilibrium.
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I have got a question i am having a lot of trouble with. The question is that three strings on unequal lengths are used to support a mass of 50g. All of these strings are used to support the weight. Two of these strings cannot be in the same plane as the other string. Determine the tension in each String.

Well, i have 2 strings in the i and j plane and was thinking to have a third string in the k or k and j plane. However i do not know if this is correct. Also, could someone show me the general steps on how to calculate the tension in each string as i am having trouble with calculating this.
 
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It's going to depend exactly on how you define your planes and the angles that follow.
 
well the planes are goin to be defined in terms of i, j and k.
 
So you're putting the j plane parallel to the acceleration due to gravity?
There are potentially infinite solutions to this question, I must be interpreting it incorrectly. Is that the exact wording of the question? Could you not have 1 string hanging from a ceiling straight down parallel to gravity, then two strings of equal tensions opposing each other perpendicular to the acceleration due to gravity?
 
The strings have to be of unequal length though. And yes the j component is the same as y. (vertical)
 
It gives no definition of where they have to be fixed though? The end that is not fixed to the mass I mean.
 
its basically fixed to a wall or sumthing, so it must be fixed at both ends.
 
any1? Its urgent. Thanks
 
Draw a freebody diagram.

Fnet = 0 for x, y, and z directions.

It depends on what angles the strings are oriented, which you know (hopefully) but we don't know.
 
  • #10
Heres a pic of 2 of the strings:
http://img124.imageshack.us/img124/7268/25255782he6.th.png http://g.imageshack.us/thpix.php

i just can't think of the length to place the third one in the k (or k and j) plane. Could u guys make sum suggestions and show me the process and calculations with ur sugeested length as i am having trouble calculating it. Thanks
 
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  • #11
Yes, placing the 3rd string in the k-j plane would make sense. Are you free to choose the string lengths and angles? Making the arrangement as symmetric as possible is probably the best way to approach this, so perhaps making all 3 string lengths equal.
 

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