PROBLEM $.$ points $10-$ Use Python

The four blocks of different masses mi are connected by ropes of negligible mass, as shown

in Fig. $2.$ Three of the blocks lie on an inclined plane, the coefficients of friction between the

blocks aad the plane being ${}_i.$

The equations of motion for the blocks can be shown to be

$T_1+m_{1}a=m_{1}g(sin-{}_{1}cos)=0$

$-T_1+T_2+m_{2}a-m_{2}g(sin-{}_{2}cos)=0$

$-T_2+T_3+m_{3}a-m_{3}g(sin-{}_{2}cos)=0$

$-T_a+m_{4}a+m_{4}g=0$

where $T_i$ denotes the tensile forces in the ropes and $a$ is the acreleration of the system. Note:

The equations of motion are being determining from ${\displaystyle \underset{?}{\overset{?}{}}}{F}_x=m{}_x$ for each mass using its

free$-$body diagram.

Using Python, determine a and $T_i$ if $\backslash$theta $={45}^{},g=9\mathrm{.}81$ m s$2$ and

$m=([10,4,5,6]{)}^{T}kg$

$=([0\mathrm{.}25,0\mathrm{.}3,0\mathrm{.}2]{)}^T$