- #1

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- Homework Statement
- The diagram of the problem is attached on the body and strings are massless. Find the acceleration of M_1

- Relevant Equations
- L=T-U

Euler-Lagrange equation

Setting up coordinates for the problem

##L=\frac{1}{2}M_1 \dot{x}^2+\frac{1}{2}M_2(\dot y-\dot x)^2+M_1gx+M_2g(l_a-x+y)##

After using Euler Lagrange for x component and y component separate and substitute one to another then I get that ##\ddot{x}=\frac{M_1-2M_2}{M_1}g##

whereas on the solution they use Newtonian method and get that ##\ddot{x}=\frac{2M_2-M_1}{4M_2+M_1}##

And I thought my method of solving the question was wrong so I tried applying M_3=0 kg on [the solution](https://youtu.be/HbmN5Xb6dYg?t=566). I still can't get the answer the book wrote.