Solve a set of 4 equations?

Questions
,
1

This is a known problem in Physics and I’m pretty sure that this system has specific solutions.

It says it is not quantified system of equations.

I have tried (eq11==0,…) etc but didn’t worked.

Also tried NSolve.

I’m pretty new with this so it may be easy to fix, so sorry for bothering you, but have searched everywhere

WD.nb (14.3 KB)

2

Your equations are inconsistent

M1 = 1.87465;
R1 = 2.219975;
M2 = 0.32065;
R2 = 0.25694;
eq11 = (4 M1^4/R1^4 - v^2/R1 + 
      2 w^2/R1^2) (M1^2 - 1)^3 + (2 w^2/R1^2)*((2 M1^2) - 1)*(1 - 
      R1^4)*(M1^2 - 1);
eq12 = (4 M2^4/R2^4 - v^2/R1 + 
      2 w^2/R2^2) (M2^2 - 1)^3 + (2 w^2/R2^2)*((2 M2^2) - 1)*(1 - 
      R2^4)*(M2^2 - 1);
eq21 = (4 M1^2/R1^4 - 
      2*(s^2)*(g - 1)/(M1^(2*g)))*(M1^2 - 1)^3 - (4 w^2/R1^2)*
    M1^2*(1 - R1^2)^2 ;
eq22 = (4 M2^2/R2^4 - 
      2*(s^2)*(g - 1)/(M2^(2*g)))*(M2^2 - 1)^3 - (4 w^2/R2^2)*
    M2^2*(1 - R2^2)^2 ;


In[25]:= Reduce[
 Rationalize [Thread[{eq11, eq22, eq12, eq21} == 0], 16], {g, v, w, 
  s}, Reals]
Out[25]= False