Model Damped Harmonic Motion with Y=(e^ax) Sin/Cos bx

[botty_12]

Hey guys, using my knowledge of y=(e^ax) sin bx and y=(e^ax) cos bx, I need to find an example where these functions could be used as a model. I was thinking about damped harmonic motion but had a tough time trying to find an example and how i could relate it to those two graphs, any ideas?

 

[lpfr]

The example can be a simple pendulum. But "y" cannot be the two things simultaneously. It is sin or cos or more general: cos(bx+phi)

 

[botty_12]

Would i be able to use a mass on the end of a spring? what would the graph look like if so?

 

[Manchot]

Damped motion on a spring, voltage across an RC oscillator, an electromagnetic plane wave propagating through a lossy (or gain) medium, the tail of the wavefunction of a particle in a finite well: the list goes on and on and on.

 

[botty_12]

Could i please have a quick explanation of the damped motion on a spring, and will the graph have a formula something like y=(Ae^-ax) cox (bx+pi)

 

[lpfr]

Try wikipedia

 

[rbj]

Would i be able to use a mass on the end of a spring? what would the graph look like if so?

you'ld need a "dashpot" for there to be any damping.

 

[Pyrrhus]

Look for the underdampening case in damped harmonic motion.