Abstract
This chapter discusses simple harmonic motion in animation. Simple harmonic motion (SHM) is the motion that results if a particle moves in a straight line under the influence of a force directed toward a fixed point in the line, and it varies as the distance from that point. Simple harmonic motion is oscillatory about the point of equilibrium. An important point about such motion is that its period is independent of amplitude. If the weight had been drawn down a greater distance, the amplitude of the movement would be correspondingly greater, but the time required to make a complete oscillation would have remained the same. The movement of a piston in a cylinder connected by a connecting rod to a crank rotating at a constant angular velocity moves approximately in SHM, provided the ratio between the length of the connecting rod and the radius of the crank is large. The smaller this ratio becomes, the more the motion of the piston diverges from SHM.
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