Physics 1402A/B Lecture 12: Lecture 12 Notes - SHM3

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Describe the connection between simple harmonic motion and circular motion. Describe, explain and calculate the changing kinetic and potential energy in shm. The position of a object undergoing circular motion relative to an origin can be represented as a simple harmonic motion. Something undergoing simple harmonic motion can have it"s motion modelled by a circle in relation to it"s distance from the origin. If we"re thinking in terms of calc, the sine curve can be represented as a polar curve in relation to the origin. The total energy of an oscillator is 0 when a mass is at rest in it"s equilibrium position. The total energy of the system will be the sum of the kinetic energy due to the motion of the mass, and the elastic potential energy stored in the spring when it stretches. K = 1/2 mv2 is maximum when the magnitude of the velocity is the highest (in the middle)