oscillation - S7

oscillation

objects moving back and forth repeatedly

frequency

the number of times a full cycle is completed (Hz)

period

the time for one cycle 

amplitude

how far the object over in it oscillation

to calculate position

x(t)=x_mcos(wt+ theta )

angular frequency

w = 2pi/T or 2pif

acceleration

-w²x

force acting on a spring

F = -mw²x or F = -kx

angular frequency of a spring

w = sqrt(k/m)

period of a spring

2pisqrt(m/k)

angular frequency of a simple pendulum

w = sqrt(g/L)

angular frequency of a physical pendulum

w = sqrt (mgd/I)

What is the defining characteristic of the restoring force required for Simple Harmonic Motion (SHM)?

The restoring force must be directly proportional to the displacement from the equilibrium position and always directed towards the equilibrium