This site shows the physics problem.
http://knol.google.com/k/alex-belov/the-wheels/1xmqm1l0s4ys/18#Two wheels locate on weightless platforms. These platforms repulsing from each other through weightless spring. These wheels start conduct rotational and translational motion without friction on it's own platforms. These wheels don't have a rolling resistance also.
Using force Fs1 spring repulse platform with wheel 1 with translational acceleration a3 relatively to repulsing point. Wheel 1 with mass m, moment inertia I1 and radius R has translational acceleration a1 relatively to repulsing point and angular acceleration alpha 1.
Using force Fs2 spring repulse platform with wheel 2 with translational acceleration a4 relatively to repulsing point. Wheel 2 with mass m, moment inertia I2 and radius R has translational acceleration a2 relatively to repulsing point and angular acceleration alpha 2.
These wheels have same mass and radius.
Find out kinematic equations of motions for wheel 1 and wheel 2. Compare theirs translational and angular accelerations.
