```python
from sympy.physics.mechanics import *
import sympy as sp
mechanics_printing(pretty_print=True)
```


```python
m1,m2,l01,l02,k1,k2 = sp.symbols(r'm_1,m_2,l_{0\,1},l_{0\,2},k_1,k_2')
t,g = sp.symbols('t,g')
x1, x2, y1, y2, z1, z2 = dynamicsymbols('x_1 x_2 y_1 y_2 z_1 z_2')
dx1, dx2, dy1, dy2, dz1, dz2 = dynamicsymbols('x_1 x_2 y_1 y_2 z_1 z_2', 1)
```


```python
V = m1*g*y1+m2*g*y2+sp.Rational(1,2)*k1*(sp.sqrt(x1**2+y1**2+z1**2)-l01)**2+sp.Rational(1,2)*k2*(sp.sqrt((x2-x1)**2+(y2-y1)**2+(z2-z1)**2)-l02)**2
T = sp.Rational(1,2)*m1*(dx1**2+dy1**2+dz1**2)+sp.Rational(1,2)*m2*(dx2**2+dy2**2+dz2**2)
L = sp.simplify(T - V)
```


```python
LM = LagrangesMethod(L, [x1, y1, z1, x2, y2, z2])
```


```python
soln = LM.form_lagranges_equations()
```


```python
solvedsoln = sp.solve((sp.Eq(soln[0]),sp.Eq(soln[1]),sp.Eq(soln[2]),sp.Eq(soln[3]),sp.Eq(soln[4]),sp.Eq(soln[5])),(x1.diff(t,t),y1.diff(t,t),z1.diff(t,t),x2.diff(t,t),y2.diff(t,t),z2.diff(t,t)))
```


```python
solvedsoln
```

4681b523f22feef503c510cbcb404e923f2190ed
ipynb
Jupyter Notebook
Pendula/Spring/3SpringPendulum2D/.ipynb_checkpoints/DoubleSpringPendulum-checkpoint.ipynb
ethank5149/Classical-Mechanics
4684cc91abcf65a684237c6ec21246d5cebd232a
MIT
Pendula/Spring/3SpringPendulum2D/.ipynb_checkpoints/DoubleSpringPendulum-checkpoint.ipynb
ethank5149/Classical-Mechanics
4684cc91abcf65a684237c6ec21246d5cebd232a
MIT
Pendula/Spring/3SpringPendulum2D/.ipynb_checkpoints/DoubleSpringPendulum-checkpoint.ipynb
ethank5149/Classical-Mechanics
4684cc91abcf65a684237c6ec21246d5cebd232a
MIT
Qwen/Qwen-72B
1. YES
2. YES