Equation that apply to a freely rotating object
Simulation of the Hammer-Toss Movie
A "hammer" is tossed into air with some rotational motion. The simulation shows that the center of mass move like a projectile in a parobolic arc while the hammer rotates about is center of mass at a uniform angular velocity.
Free Motion of a Disk
An applied force acts on a disk that is free to move, rests on a horizontal, frictionless surface. The force is offset from the disk's center of mass. The disk under goes both Rotational and Translational motion. The direction and magnitude of the force can be varied as well as the point of application of the force by dragging. Both the mass and the moment of inertia can be set independently causing the disk's density to change.