Help with Force Problems | Tension & Acceleration

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Help with "Force"

Homework Statement



Overall, I would just like some advice on how to tackle a variety of Force based questions.
A few of them that have left me lost involves finding Tension and Acceleration of a pulley system.


Homework Equations



Equations surrounding Newton's 2nd law, not working with friction. =)
m2g-m1g=(m1+m2)a


The Attempt at a Solution



I would just appreciate some advice on how to tackle these problems and when to use equations like "m2g-m1g=(m1+m2)a or T-MG=MA.

Thank you.
 
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I find that when I have to solve these problems
- Draw the free-body diagram
- label everything
- solve for your unknown variables
- and see if u can re arrange ur equation or simplify it