PHYS 218 sec Review Chap. 13 Periodic Motion

What you have to know Periodic motions (oscillations) Physical quantities describing periodic motions Equation of motion for simple harmonic motion Various examples of harmonic motion Pendulums We skip the parts which have an asterisk (*) in the textbook.

Physical quantities Equilibrium point Basic relations Restoring force

Simple harmonic motion (SHM) This is the simplest case when the restoring force is directly proportional to the displacement from the equilibrium  does not depend on A

Ex 13.2SHM Spring constant , f, T of this SHM

Displacement in SHM

Displacement in SHM (2)

Energy in SHM Total energy constant It should be so because of energy conservation

Ex 13.4Velocity, acceleration, and energy in SHM Maximum and minimum velocity Note that the minimum value is NOT 0! Maximum acceleration

Ex 13.4Cont’d The body has moved halfway to the center from its original position The body is moving from x=A/2 to x=0. Thus we choose the negative sign for the velocity.

Ex 13.5Energy and momentum in SHM Velocity at x=0 Collision The putty m is moving in y-direction.

Ex 13.5Cont’d After the Collision

Ex 13.5Cont’d If the Collision happens when M is at x=A

Vertical SHM equilibrium oscillation

Angular SHM

Simple pendulum

Physical pendulum Any real pendulum pivot

Forced oscillations & resonance Damped oscillations These topics will not be summarized here. But you should read the textbook for these topics.