Energy in SHM Total Energy Kinetic Energy Potential Energy 6

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In this lesson we see how the potential and kinetic energy of this system changes during time period T. And if you sum up the Potential and Kinetic Energy at various times, you can also establish how the total energy of the system will change. • Solved numerical problems and downloadable PDFs: ▶ https://thesciencecube.com/ • Join our Telegram Channel: ▶ https://t.me/TheScienceCube_Community • Well, as we move ahead, what you will find is that total energy of the system actually remains constant which should not be surprising to you since this system is also following the law of conservation of energy, that is if there is no friction in the system. • In a simple harmonic oscillator, the kinetic energy and potential energy of the oscillating object are periodic functions of time, with a sinusoidal shape. The total energy of the system is therefore also a periodic function of time. • At any point in time, the kinetic energy of the oscillating object is given by: • KE = (1/2)mv^2 • where m is the mass of the object and v is the velocity of the object. • The potential energy of the oscillating object is given by: • PE = (1/2)kx^2 • Key Moments • 00:00 Introduction to energy in SHM • 00:39 Potential energy in a compressed spring • 01:28 Kinetic energy of a compressed spring • 02:05 Total energy or mechanical energy of a system under SHM • 03:55 Kinetic energy and potential energy at various points • 07:30 Graphing kinetic energy and potential energy in simple harmonic motion • 10:00 Velocity of the block using energy conservation

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