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Question: What is the relationship between angular acceleration and angle? Answer: It is a sine wave relationship as given by equation (1): θ'' = − g⁄R sin θ Question: How do mass, length, or gravity affect the relationship between angular acceleration and angle?

Recolección de notas y demonstraciones sobre oscilaciones y ondas.

We follow Gerd Baumann's approach in Mathematica to determine the period of the mathematical pendulum. First, we write down the kinetic and potential energies: the kinetic energy is expressed in terms of the angular velocity and the moment of inertia for a point mass m suspended at distance l .

Everyone likes bling, so let's start this post off with some eye-candy (skip to 20s if you've got very little patience): That was pretty cool wasn't it? Even if you're not admitting it, I know you're thinking it. That was pretty damn cool. Lately, that video has been posted and reposted all over the internet.

Fifteen uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and (seemingly) random motion.