Aperture. Cats That Look Like Hitler! Physics and Flash. Flash is well-known for producing spiffy animations. Not as well-known is how to use it for demonstrations in the sciences using proper mathematical equations to control the motions. Using proper Physics equations for animations is also useful for realistic games. This small document is a tutorial in exploiting the capability of using equations to control animations. I assume that you already know at least a little about using Flash, and have at least a rudimentary knowledge of ActionScript. We will create 5 different animations below. When this document was written, the current Flash program was MX 2004. The Undamped Harmonic Oscillator We will use a harmonic oscillator, such as a mass oscillating on a spring, as our example.
A is the maximum amplitude of the oscillation. (pronounced omega naught) is the "natural" angular frequency of oscillation, and depends on the mass and the particular spring. t is the time. In this document we will be clever and choose the phase angle to be zero. DIY Flash and Lighting Hacks for Digital Photographers. KAtomic Handbook. Hugin - Panorama photo stitcher.