Solving constrained differential equations

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I would like to solve coupled differential equations with some constraints. The detailed question appear below
  2 Comments
Torsten
Torsten on 16 Sep 2022
The people in this forum are not LATEX interpreters.
Salil Kulkarni
Salil Kulkarni on 16 Sep 2022
I am sorry. I could not figure out how to type matrices in the Mathworks forum. I have posted my question again

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Accepted Answer

Torsten
Torsten on 16 Sep 2022
Edited: Torsten on 16 Sep 2022
Solving the above system is only possible in the form
M = [1 0 0 0 0; ...
0 m1 0 0 0; ...
0 0 1 0 0; ...
0 0 0 m2 0; ...
0 m2*tan(theta) 0 -m2*tan(theta) 0];
f = [y2 ; -sin(theta)*N ; y4 ; sin(theta)*N ; -m2*g+cos(theta)*N];
M*[y1dot ; y2dot ; y3dot ; y4dot ; Ndot] = f(y1,y2,y3,y4,N)
But you might get the message from the integrator that the index of the system is >1.
Test it.

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