The shadow of a pin moving uniformly around a circle in the vertical plane is superimposed over that of an oscillating spring and weight. The shadows of the pin and the weight are synchronized so that the shadows move in unison on the screen.
1) Pull the weight down so that its shadow is centered on the bottom horizontal shadow line, being sure that you pull it straight down.
2) Watch the shadow of the pin for a few cycles and release the weight when the pin is at the bottom of a cycle.
3) If you pulled the weight straight down, and not at an angle, the weight will oscillate in phase with the motorized pin for a few cycles.
Note: The weight's oscillation will damp out after a few cycles and drift out of phase with the pin, while the pin remains driven at the same rate.