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__Walk-Through__

How do you think this will change for omega = 1.05? (Keeping the damping zero.)

Try it! (You can adjust the driving force to scale the curve.) Then try 1.025. How, exactly, has the pattern changed?

What happens at omega = 0.9? Check it out. How does this curve differ from the omega = 1.1 curve? Or does it?

Now do omega = 1, but now add damping b = 0.08.

Explore different values of damping, but adjust the driving force strength so the pattern is a reasonable size on the screen.

Show you can choose the initial position and velocity so that the oscillations initially *decrease* in magnitude.

Can that be done for driving at the resonant frequency? Check it out!

What curve do you expect if you put the spring constant *k* = 0?

What about *k* = 0 and *F* = 0? (Put *b* nonzero.) Try nonzero initial position, zero and nonzero initial velocities.

Is that what you expect from looking at the equation?

Here's the relevant lecture.

*Program by: Carter Hedinger*