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17. Simple Harmonic Motion

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For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.Uploaded 23-09-08Fundamentals of Physics (PHYS 200)The focus of the lecture is simple harmonic motion. Professor Shankar gives several examples of physical systems, such as a mass M attached to a spring, and explains what happens when such systems are disturbed. Amplitude, frequency and period of simple harmonic motion are also defined in the course of the lecture. Several problems are solved in order to demonstrate various cases of oscillation.00:00 - Chapter 1. Example Equations of Oscillating Objects10:49 - Chapter 2. Superposition of Solutions to Linear (Harmonic) Equations30:16 - Chapter 3. Conditions for Solutions to Harmonic Equations38:57 - Chapter 4. Exponential Functions as Generic Solutions50:48 - Chapter 5. Undamped, Under-damped and Over-damped Oscillations01:00:28 - Chapter 6. Driving Harmonic Force on OscillatorComplete course materials are available at the Yale Online website: online.yale.eduThis course was recorded in Fall 2006. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

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For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.Uploaded 22-09-08Fundamentals of Physics (PHYS 200)This is the first of a series of lectures on thermodynamics. The discussion begins with understanding "temperature." Zeroth's law is introduced and explained. Concepts such as "absolute zero" and "triple point of water" are defined. Measuring temperature through a number of instruments is addressed as well as the different scales of measurement. The second half of the lecture is devoted to heat and heat transfer. Concepts such as "convection" and "conduction" are explained thoroughly.00:00 - Chapter 1. Temperature as a Macroscopic Thermodynamic Property06:45 - Chapter 2. Calibrating Temperature Instruments22:25 - Chapter 3. Absolute Zero, Triple Point of Water, The Kelvin28:55 - Chapter 4. Specific Heat and Other Thermal Properties of Materials43:17 - Chapter 5. Phase Change55:06 - Chapter 6. Heat Transfer by Radiation, Convection and Conduction01:03:27 - Chapter 7. Heat as Atomic Kinetic Energy and its MeasurementComplete course materials are available at the Yale Online website: online.yale.eduThis course was recorded in Fall 2006. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

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For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.Uploaded 22-09-08Fundamentals of Physics (PHYS 200)The lecture covers a number of mathematical concepts. The Taylor series is introduced and its properties discussed, supplemented by various examples. Complex numbers are explained in some detail, especially in their polar form. The lecture ends with a discussion of simple harmonic motion.00:00 - Chapter 1. Derive Taylor Series of a Function, f as [Σ (0, ∞)fnxn/n!]14:21 - Chapter 2. Examples of Functions with Invalid Taylor Series17:30 - Chapter 3. Taylor Series for Popular Functions(cos x, ex,etc)23:31 - Chapter 4. Derive Trigonometric Functions from Exponential Functions31:41 - Chapter 5. Properties of Complex Numbers42:40 - Chapter 6. Polar Form of Complex Numbers50:04 - Chapter 7. Simple Harmonic Motions01:03:07 - Chapter 8. Law of Conservation of Energy and Harmonic Motion Due to TorqueComplete course materials are available at the Yale Online website: online.yale.eduThis course was recorded in Fall 2006. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

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