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 Matlab m file program.

Using the Verlet method to calculate the next theta and omega with a timestep of .01 seconds, the only stable oscillation seems to occur when A0 and Td are both equal to 1. This seems to contradict what the problem is saying about A0 >> g.

I'm not really sure what this problem is trying to show since we are just plugging in different values for A0 and Td trying to get a stable oscillation around theta = 180 degrees.

I've looked up inverted pendulum and it seems to be a fascinating problem but I'm totally confused as to the point of this problem and what it is trying to show.

Can anyone give me insight as to why A0=Td=1 is the only stable oscillation, and what the point is of showing that?

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 Matlab m file program.

Using the Verlet method to calculate the next theta and omega with a timestep of .01 seconds, the only stable oscillation seems to occur when A0 and Td are both equal to 1. This seems to contradict what the problem is saying about A0 >> g.

I'm not really sure what this problem is trying to show since we are just plugging in different values for A0 and Td trying to get a stable oscillation around theta = 180 degrees.

I've looked up inverted pendulum and it seems to be a fascinating problem but I'm totally confused as to the point of this problem and what it is trying to show.

Can anyone give me insight as to why A0=Td=1 is the only stable oscillation, and what the point is of showing that?

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