Simulating a sand bag when punched

yudhistira dewanata asked:

I'm creating an animation of a guy hitting a sandbag (Imagine the game Grand Theft Auto)
what I'm having problem with is how to simulate the swinging of the sandbag when punched.
The Problem is not in graphical, i have no problem in doing the 3d simulation, what i'm a bit confused is how to create the waving function.

Imagine when you hit a sandbag at its central balance point and at angle 0degree, the sandbag will only move backward and forward in z coordinate. The range of swinging will decrease as more swing have been completed. I've created a math function of that,but it's not really flexible.
I've look at the sinc() function but it's not symmetric(If you look for sinc() at wikipedia, you can see in the graphics that the range is not symmetric; -0.2 -> 1.0)

Can anyone make a function to simulate that? a flexible function where the initial range can be modified dependng on the power of punch.

Tags: C, Graphics, Mathematics, Physics

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