How can I solve a simultaneous equation with unknown angles in it?

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Homework Help Overview

The discussion revolves around solving a simultaneous equation involving unknown angles, stemming from a physics problem related to forces and tensions in strings. The context includes weights of different objects and their relationships through the equations formed.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the nature of the simultaneous equations and the challenges posed by the unknown angles. Questions arise regarding the original physics problem and the validity of the equations set up. Some participants suggest rearranging terms and utilizing trigonometric identities.

Discussion Status

The discussion is ongoing, with some guidance provided regarding the manipulation of the equations. Participants are actively questioning the setup and exploring different interpretations of the problem, but there is no explicit consensus on a solution yet.

Contextual Notes

There is mention of specific weights for objects involved, and the original physics question is referenced, but the complete details of the problem are not fully disclosed. The discussion reflects uncertainty about the solvability of the equations due to the unknown angles.

Jordan.Lewis
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Hey guys, I am currently studying Engineering, and its only my first year. I am having trouble with one of the simultaneous equations i have made from a physics question. I don't know how to solve this because the uknowns are both angles.

I have attached a photo of the simultaneous equation

Thanks :)
 

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Physics news on Phys.org
This is unsolvable. Show the original Physics question.

ehild
 
Thanks for the quick reply.

I have attached the original physics question,

the parameters were given to me online, which are

Weight of A= 144N
Weight of B = 229N
weight of C = 202N
 

Attachments

  • IMG_0609.jpg
    IMG_0609.jpg
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The right side of your second equation in the previous post is not zero. The vertical components of the tensions in the strings must balance the weight of A.

ehild
 
Thank you so much Ehild for your help :), i completely missed that.
 
Can you solve the problem now?

ehild
 
sadly not, I had high hopes, and gave it a shot. But i still don't know how to solve a simultaneous equation with the uknowns as the angles..
 
It is always very useful to move the terms with different angles on the different sides of the equation, square both sides, then add up the equations, and replacing sin()2 +cos()2=1

ehild
 

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