Finding unknown mass with tension

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To find the mass of a key using tension without a scale, the setup involves analyzing the forces acting on the key suspended by strings. The equations T2 = mg and Ty = T1sinθ are used, but the user struggles to determine the tension values. It is noted that both x and y components of the tensions need to be considered for accurate calculations. The discussion emphasizes the importance of resolving the forces in both dimensions to solve for the unknown mass. Understanding the complete tension system is crucial for finding the mass accurately.
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Homework Statement



so my teacher assigned me a to find the mass of this key without a scale using strings at whatnot.


Homework Equations





The Attempt at a Solution


i tried setting up the system like this:

____ceiling_____
\ /
\/
O
|
[Key]

and i can't seem to find it because i can't find tension.

T2=mg and Ty=T1sinθ

2T1y=T2
 
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What about the x components of the tensions? You need to find both the x and components for both strings. I'm assuming there is two strings there.
 
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