Derive the wave equation for a stretched string
Show that the total momentum of an isolated system is constant
Derive the rocket equation by conservation of momentum
Derive the parallel axes theorem
Derive the perpendicular axes theorem
Derive the gyroscope equation
Use grip rule to find direction of angular momentum and torque vectors
Derive the relativistic addition of speeds formula
Derive the formula for the aberration of light
Derive the relativistic Doppler shift for period
Derive the kinetic and potential energy density of waves on a stretched string
Total energy density can then be found by subbing in the equation of the wave and cancelling terms. Average of sin^2/cos^2=1/2