Calculating Tension in a 2 Mass System

AI Thread Summary
The discussion revolves around calculating the acceleration and tension in a two-mass system with M1 at 3.0 kg and M2 at 2.5 kg. The user successfully calculated the system's acceleration as 1.24 m/s² and received full credit for that part. However, confusion arose when attempting to find the tension in the string, leading to a miscalculation. After receiving guidance, the user adjusted their approach and recalculated the tension, realizing their earlier mistake was straightforward. The thread highlights the importance of correctly applying equations and understanding the dynamics of tension in a mass system.
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Homework Statement



In the ideal setup showin in the following figure, M1=3.0 kg and M2=2.5KG
A) What is the acceleration of the 2 mass system?
B) What is the tension in the string?

Homework Equations


Asys=M2 * g - M1 * g (sin\oslash) / M1 + M2


The Attempt at a Solution



Calculated the acceleration of the system using above equation and obtained:

Asys=1.24 m/s^2

My teacher gave me full credit on that part of my answer. On part B, however, I was expected to find the tension on the string. Here's what I attempted:
Asys=M1(g) -T / M1
1.24 m/s^2 = 2.5(9.8) - T / 5.5 kg

I am thinking I need to also divide by mass 2? Either way, I think I could use a fresh approach at thinking about tension. To me, it just seems like the transferred force through a string...I guess I'm a bit confused.

Thanks in advance,

Ian
 

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Asys=M1(g) -T / M1
1.24 m/s^2 = 2.5(9.8) - T / 5.5 kg


1.24 m/s^2 = [2.5(9.8) - T] / 2.5 kg Try this one and find T
 
Wow, tell me my mistake wasn't that simple...My new T= -0.127

Thanks guys...I can't even believe I didn't see that!
 
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