![]() ![]() There are several links between SHM and circular motion. We can use these basic principles to derive the equations for SHM. ![]() Figure 2: Three graphs showing how dispplacement, velocity and acceleration vary for an object in SHM. When the displacement is zero (when the oscillator passes through the equilibrium position) the velocity is at its maximum and the acceleration is zero. When the displacement is at its maximum, the velocity is zero, and the acceleration is at its maximum value, in the other direction. If we compared how the displacement, velocity and acceleration of a simple harmonic oscillator varies with time. The relationship is still directly proportional. You can see that whenever the displacement is positive, the acceleration is negative. In practice, this looks like: Figure 1: The acceleration of an object in SHM is directly proportional to the negative of the displacement. If these three conditions are met the the body is moving with simple harmonic motion. and is directly proportional to its distance from that fixed point.The acceleration is in the opposite direction to the displacement. ![]()
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