Forced Oscillator with Damping

mass

spring constant

damping

initial position

forcing function

amplitude

frequency

plot type

position

phase

zoom

time

mass = 4

|

spring constant = 3

|

damping = 1

driving amplitude = 3

|

driving frequency = 2

The position of a mass

m

on a spring with spring constant

k

, damping coefficient

b

, and sinusoidal driver with amplitude

A

and frequency

ω

, can be described by

kx(t)+b

′

x

(t)+m

′′

x

(t)=Acos(ωt)

. Change the parameters in the system to see plots of position versus time or position versus velocity.