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PHYS 200 - Fundamentals of Physics I

Lecture 06 - Law of Conservation of Energy in Higher Dimensions. The discussion on the Law of Conservation of Energy continues but is applied in higher dimensions. The notion of a function with two variables is reviewed. Conservative forces are explained and students are taught how to recognize and manufacture them. (from oyc.yale.edu)

Lecture 06 - Law of Conservation of Energy in Higher Dimensions

Time Lecture Chapters
[00:00:00] 1. Calculus Review: Small Changes for Motion in 2D
[00:18:05] 2. Work Done in 2D; Dot Products and Cross Products
[00:36:16] 3. Conservative and Non-conservative Forces
[00:52:29] 4. Cross Derivative Test for Potential Energy Equations
[01:03:55] 5. Application to Gravitational Potential Energy

References
PHYS 200: Lecture 6 - Law of Conservation of Energy in Higher Dimensions
Instructor: Professor Ramamurti Shankar. Resources: Problem Set 3 and Solutions [pdf]. Transcript [html]. Audio [mp3]. Download Video [mov].

Go to the Course Home or watch other lectures:

Lecture 01 - Course Introduction and Newtonian Mechanics
Lecture 02 - Vectors in Multiple Dimensions
Lecture 03 - Newton's Laws of Motion
Lecture 04 - Newton's Laws (cont.) and Inclined Planes
Lecture 05 - Work-Energy Theorem and Law of Conservation of Energy
Lecture 06 - Law of Conservation of Energy in Higher Dimensions
Lecture 07 - Kepler's Laws
Lecture 08 - Dynamics of a Multiple-body System and Law of Conservation of Momentum
Lecture 09 - Rotations, Part I: Dynamics of Rigid Bodies
Lecture 10 - Rotations, Part II: Parallel Axis Theorem
Lecture 11 - Torque
Lecture 12 - Introduction to Relativity
Lecture 13 - Lorentz Transformation
Lecture 14 - Introduction to the Four-Vector
Lecture 15 - Four-Vector in Relativity
Lecture 16 - The Taylor Series and Other Mathematical Concepts
Lecture 17 - Simple Harmonic Motion
Lecture 18 - Simple Harmonic Motion (cont.) and Introduction to Waves
Lecture 19 - Waves
Lecture 20 - Fluid Dynamics and Statics and Bernoulli's Equation
Lecture 21 - Thermodynamics
Lecture 22 - The Boltzmann Constant and First Law of Thermodynamics
Lecture 23 - The Second Law of Thermodynamics and Carnot's Engine
Lecture 24 - The Second Law of Thermodynamics (cont.) and Entropy