Galinski goes to a computer, punches up a screen. Detailed
computer graphic of a Mars Rover, then a car, then a truck --

                    GALINSKI
          My own computer modeling software --
          analyzes anything with an engine.

This Demonstration shows a working model of a four-stroke radial engine. Unlike a straight cylinder engine, the cylinders are connected to the crankshaft via a single hub with a master-and-articulating-rods assembly. This engine configuration was very popular in WWII aircraft. For smooth firing order, most four-stroke radial engines have an odd number of cylinders.

                     GALINSKI
         Mechanical engineering -- the
         poetry of matter and energy, of
         metal and power. The more
         complicated it is, the more
         beautiful it becomes.

                     CHARLIE
         We need to know if a certain
         vehicle's trajectory was accidental
         or intended.

This Demonstration shows snapshots of a disk rolling on a plane. For the calculation, it is assumed that the disk has infinitesimal thickness, rolls without friction, and does not slide or slip. A rolling disk is one of the simplest examples of a nonholonomic system. It is completely integrable, and as a result, the sequence of snapshots form nonchaotic sequences exhibiting a certain symmetry.

                    CHARLIE
          Computer simulations are
          mathematical representations of the
          real world. Think of Newton --

          Newton observed a real world event-
          The APPLE falls from the tree.

          And he created a mathematical model
          to represent the phenomenon-

          That model could be extrapolated to
          predict the orbits of planets-

Use this Demonstration to explore the five parameters which characterize orbits about a central mass.

                    CHARLIE
          It's a phenomenon related to
          centripetal force --

Four rods are attached to each other with hinges at the vertices of a rhombus. Two of the sides are extended, with balls attached at their ends. The top vertex has a constant height. As you rotate the whole assembly, the balls move upward due to centripetal force.

                    CHARLIE
          The further from the center of the
          circle, the greater the distance
          traveled.

The circumference of a unit circle is 2π, or about 6.28.

The APPLE stops mid-air.  GRAPHIC overlay displays Newton's
equations of motion and the law of universal gravitation.

                     CHARLIE (O.S.) (cont'd)
         That model could be extrapolated to
         predict the orbits of planets-

The SOLAR SYSTEM -- planets in motion around the sun.

This Demonstration shows the orbit of a test mass in the gravitational field of a homogeneous sphere. Assume that the test mass can penetrate the sphere without frictional forces being exerted. Inside the sphere, the gravitational force forms a harmonic oscillator and outside the sphere, it has a pure Coulomb potential. In both cases, the orbits are ellipses. In case the orbit has segments both inside and outside the sphere, rosette orbits are obtained.

                    GALINSKI
          And that, folks, is geek speak for
          "bingo."

In the game of Bingo, players must be the first to meet various spot-filling criteria: a row, column, or diagonal; a "T"; an "H"; all spots filled, etc. The most common game is to be the first to fill five spots in a straight line.