First challenge: simulate a simple pendulum with c4dynamics 🏗️

[C4dynamics]

Let’s get started with our first hands-on example using c4dynamics.
Your challenge is to simulate a simple pendulum and plot 𝜃 vs. time for 5 seconds.

Pendulum Setup:

• Point mass on a rigid, massless rod of length $𝐿=1m$
• Gravity $𝑔=9.8m/s²$
• Initial conditions: $𝜃(0)=0$, $\dot{\theta}(0)=0$.
• Integrate with solve_ivp using a time step of $0.01s$ for $5$ seconds

Your Tasks:

1. Set up the pendulum dynamics using c4dynamics.
2. Integrate the equations of motion using solve_ivp.
3. Plot $𝜃$ vs. time.

💡 Tip: Keep it simple—focus on getting the simulation running first.

Check Your Solution:

Once you’ve tried it, you can compare your result with this example implementation:
pendulum.py

Feel free to ask questions, share your plots, or suggest improvements in this discussion. Let’s learn and build together! 🚀