This is a requested post. Clearly, I do requests. The idea here is that I am going to give all the details needed to determine the equation of motion (and then model it) for a basic pendulum ...

Here I have used the usual convention of double-dots to represent the second derivative with respect to time. Theta-double-dot is the angular acceleration. Needless to say, this is the answer.

Today, you learned about simple harmonic motion -- the energy of that motion, and how we can use math of uniform circular motion to find the period, frequency, and angular velocity of a mass on a ...