Two Pulleys, Two Strings and Two Blocks

[ThEmptyTree]

Homework Statement

Block $1$ and block $2$, with masses $m_1$ and $m_2$, are connected by a system of massless, inextensible ropes and massless pulleys as shown above.
Solve for the acceleration of block $2$ in terms of $m_1, m_2$ and $g$. Assume that ”down” is positive. Express your answer in terms of some or all of the following: $g, m_1$, and $m_2$.

Relevant Equations

$\overrightarrow{F}=m\overrightarrow{a}$

Someone pls solve this. I've done it but I'm not sure if it's correct. Thanks!

 

[Doc Al]

I've done it but I'm not sure if it's correct.

Post your work and we'll let you know.

 

[ThEmptyTree]

Post your work and we'll let you know.

Uff

 

[haruspex]

I confirm your answers for the accelerations.

 

[ThEmptyTree]

I confirm your answers for the accelerations.

Thanks again ӵ