Simple Harmonic Motion

Analyze a harmonic oscillator:

damped harmonic oscillator with forcing

Find equations associated with a harmonic oscillator:

damped sinusoidal driven harmonic oscillator (physical system)

Pendulum Motion

Analyze the motion of a simple pendulum:

pendulum

Analyze the motion of a spring pendulum:

spring pendulum l0=0.12m, li=0.24m, thetai=80deg

Find the Lagrangian of a system:

Lagrangian of a coupled pendulum system

Motion of a Top

Analyze the motion of a symmetric top:

motion of a symmetric top

Find the equations of motion:

equations of motion for a symmetric top

Sound & Acoustics

Compute a Doppler shift:

Doppler shift 300Hz, 75mph

Find the maximum distance for hearing a sound:

furthest distance you can hear 100 dB

Waveguides

Explore properties of ideal waveguides:

circular waveguide

Find mode frequencies and quality factors for resonant cavities:

dielectric resonate cavity a=4mm b=4mm