# inverted

1. ### Flywheel Inverted pendulum torque calculation

I started building my own flywheel inverted pendulum (i'm using a standard PID controller for the balancing). I came across many articles regarding the differential equation of the pendulum. Most article develop the motion equation using the Eulerâ€“Lagrange, few chose the Newtonian way. What I...
2. ### Inverted pendulum

Hi, I'm not sure this is the correct place for this. I am taking my first Physics course in about 40 years, Computational Physics with the Garcia textbook, "Numerical Methods for Physics". Problem 21 attached deals with an inverted pendulum. I have included a scan of the problem and my...
3. ### inverted wine bottle filled with water

Say you had a huge glass bottle 1 or 5 meters tall, and filled it up with pure water. A fully air inflated zip lock bag (but not so full that it starts to burst or change the plastic temperature) was then placed on top sealing off the bottle. The person then flipped the bottle upside down...
4. ### inverted nonlinear pendulum, show unstable.

Hey there. I have a pendulum quandary. Suppose we have a nonlinear pendulum. How can we show that the inverted position is unstable?. And what is the exponential behavior of the angle in the neighborhood of this unstable equilibrium position?. I know the inverted position is at...