Solve a parametric equation system using W|A?

Hello everybody,

I am developing an excel tool for a mechanical calculation, which is why I have to do everything parametric. That makes it way harder to solve a specific system of equations, which is why I decided to use wolfram-alpha.
It worked out quite well in my first development iteration (see below):

Input:

Solve ( z_1+sin(?)*z_2+cos(?)*z_3-z_4-z_5=0, cos(?)*z_2-sin(?)*z_3-z_6+z_7=0, -g*z_2-a*z_3+n*z_4+s*z_5+m*z_7=0, (s+y)*z_1-v*z_2+w*z_4-y*z_5+(m+x)*z_6-x*z_7=0, [z_1,z_2,z_3,z_6])

Result:

But after my first validation it turned out that I have to refine my calculation and include the friction.
And this is where my problem is. For some reason the system of equation cannot be solved anymore (input below). Do you have any idea why it does not work anymore?

Input:

Solve (
z_1+sin(?)*z_2+cos(?)*z_3-z_4-z_5-z_8*sin(?)=0,
cos(?)*z_2-sin(?)*z_3-z_6+z_7-z_8*cos(?)=0,
-g*z_2-a*z_3+n*z_4+s*z_5+m*z_7-z_8*c=0,
(s+y)*z_1-v*z_2+w*z_4-y*z_5+(m+x)*z_6-x*z_7=0,
z_3*?-z_8=0,
[z_1,z_2,z_3,z_6,z_8])

Thanks for taking the time to help me, I appreciate it.

Regards,
Friedrich

Hi Friedrich,

Not sure why WA would not solve it. I think I correctly transcribed your equations to WL and Mathematica was able to solve both. See this notebook. You can create a free Wolfram Cloud account and experiment with it.

Hey Rohit,

tank you very much!

Best Regards,
Friedrich