Overview: Simple harmonic motion occurs for any system where the acceleration, a, has the form a =-wx (1) where w is the angular frequency and x is the displacement. These systems will show sinusoidal motion as shown in Figure 1. X Period (T) Figure 1. Diagram of simple harmonic motion The period (7) is the time for one full oscillation of the system, the frequency (f) is the number of cycles per second (typically measured in Hertz), and these can be related to the angular frequency by Amplitude (A) 11377 W3 2f (2) The amplitude of the motion is the systems maximum displacement from the equilibrium position. Note that the amplitude can also be found by taking half of the full range of motion of the oscillator. The type of simple harmonic oscillator we will consider in this lab is a vertical mass spring system, where a mass m is hung from a spring with spring constant k and then allowed to oscillate around the equilibrium position of the hanging mass. We can measure the period by timing multiple oscillatio