Can I use method of sections anywhere?

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NoobeAtPhysics
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Homework Statement



Find the tension in the rope

t8mbrd.png


Homework Equations



F=ma

The Attempt at a Solution



I was wondering whether I could use method of sections in this problem to divide the two systems so that I could find the tension in the rope.

I have a strong feeling that I won't be able to.. why can't I?
 
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NoobeAtPhysics said:

Homework Statement



Find the tension in the rope

t8mbrd.png


Homework Equations



F=ma

The Attempt at a Solution



I was wondering whether I could use method of sections in this problem to divide the two systems so that I could find the tension in the rope.

I have a strong feeling that I won't be able to.. why can't I?
What you are calling "method of sections" is more generally referred to as "free body diagram(FBD)". You can take a FBD anywhere, but is is simplest to take one that cuts through the rope, then apply Newton's laws for the equilibrium case (a = ??) .