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A simple harmonic oscillator is a mass on the end of a spring that is free to stretch and compress. The motion is oscillatory and the math is relatively simple.
List the characteristics of simple harmonic motion; Explain the concept of phase shift; Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion; Describe the motion of a mass oscillating on a vertical spring
1. One of the most important examples of periodic motion is simple harmonic motion (SHM), in which some physical quantity varies sinusoidally. Suppose a function of time has the form of a sine wave function, y(t) = Asin(2πt / T ) (23.1.1) where A > 0 is the amplitude (maximum value).
When no one is standing on the platform the platform is 50cm off the ground. When Ty is standing on the platform, he oscillates up and down, and the lowest point that the platform reaches is 35cm off the ground. Show that this is simple harmonic motion and determine what Ty’s maximum speed will be.
Challenge Problems. A suspension bridge oscillates with an effective force constant of 1.00 x 10 8 N/m. (a) How much energy is needed to make it oscillate with an amplitude of 0.100 m?
A simple harmonic oscillator is a mass on the end of a spring that is free to stretch and compress. The motion is oscillatory and the math is relatively simple.
In these notes, we introduce simple harmonic oscillator motions, its defining equation of motion, and the corresponding general solutions. We discuss how the equation of motion of the pendulum approximates the simple harmonic oscillator equation of motion in the small angle approximation.
