Coding a simple model with torsion spring

I am trying to code a very simplistic box on the torsion spring with Matlab so that I can apply a force and see the reaction of the simple box on the torsion spring.

I tried using ODE 45 to code a torsion spring, putting theta as x(1), and dx(1) as x(2).

Also, I know that I have to put

sigma M = I * delta sigma M = Moment on spring + Moment of the force + Moment of mass*gravity

Is there a way to code this?

Answer 1

[Steve Miller]

I think this example model will help you see a way to model this system: Mechanical Rotational System with Stick-Slip Motion

https://www.mathworks.com/help/simscape/ug/mechanical-rotational-system-with-stick-slip-motion.html

--Steve