## Course: Fundamentals of Physics with Ramamurti ShankarDnatube

#### Lec 1 - Course Introduction and Newtonia ...

"Lec 1 - Course Introduction and Newtonian Mechanics "Fundamentals of Physics (PHYS 200) Professor Shankar introduces the course and answers student questions about the material and the requirements. He gives an overview of Newtonian mechanics and explains its two components: kinematics and dynamics. He then reviews basic concepts in calculus through two key equations: x = x0 + v0t + ½ at2...

#### Lec 2 - Vectors in Multiple Dimensions

"Lec 2 - Vectors in Multiple Dimensions" Fundamentals of Physics (PHYS 200) In this lecture, Professor Shankar discusses motion in more than one dimension. Vectors are introduced and discussed in multiple dimensions. Vector magnitude and direction are also explained. Null vectors, minus vectors, unit and velocity vectors are discussed along with their properties. Finally, several specific...

#### Lec 3 - Newton's Laws of Motion

"Lec 3 - Newton's Laws of Motion" Fundamentals of Physics (PHYS 200) This lecture introduces Newton's Laws of Motion. The First Law on inertia states that every object will remain in a state of rest or uniform motion in a straight line unless acted upon by an external force. The Second Law (F = ma) relates the cause (the force F) to the acceleration. Several different forces are discussed in...

#### Lec 4 - Newton's Laws (cont.) and Inclin ...

"Lec 4 - Newton's Laws (cont.) and Inclined Planes" Fundamentals of Physics (PHYS 200) The lecture begins with the application of Newton's three laws, with the warning that they are not valid for objects that move at speeds comparable to the speed of light or objects that are incredibly small and of the atomic scale. Friction and static friction are discussed. The dreaded inclined plane is...

#### Lec 5 - Work-Energy Theorem and Law of C ...

"Lec 5 - Work-Energy Theorem and Law of Conservation of Energy" Fundamentals of Physics (PHYS 200) The lecture begins with a review of the loop-the-loop problem. Professor Shankar then reviews basic terminology in relation to work, kinetic energy and potential energy. He then goes on to define the Work-Energy Theorem. Finally, the Law of Conservation of Energy is discussed and demonstrated...

#### Lec 6 - Law of Conservation of Energy i ...

"Lec 6 - Law of Conservation of Energy in Higher Dimensions" Fundamentals of Physics (PHYS 200) 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. 00:00 - Chapter 1. Calculus Review: Small...

#### Lec 7 - Kepler's Laws

"Lec 7 - Kepler's Laws" Fundamentals of Physics (PHYS 200) The focus of the lecture is problems of gravitational interaction. The three laws of Kepler are stated and explained. Planetary motion is discussed in general, and how this motion applies to the planets moving around the Sun in particular. 00:00 - Chapter 1. Review of Conservative and Non-conservative Forces 09:19 - Chapter 2....

#### Lec 8 - Dynamics of Multiple-Body System ...

"Lec 8 - Dynamics of Multiple-Body System and Law of" Fundamentals of Physics (PHYS 200) The dynamics of a many-body system is examined. Through a variety of examples, the professor demonstrates how to locate the center of mass and how to evaluate it for a number of objects. Finally, the Law of Conservation of Momentum is introduced and discussed. The lecture ends with problems of collision...

#### Lec 9 - Rotations, Part I: Dynamics of R ...

"Lec 9 - Rotations, Part I: Dynamics of Rigid Bodies" Fundamentals of Physics (PHYS 200) Part I of Rotations. The lecture begins with examining rotation of rigid bodies in two dimensions. The concepts of "rotation" and "translation" are explained. The use of radians is introduced. Angular velocity, angular momentum, angular acceleration, torque and inertia are also discussed. Finally, the...

#### Lec 10 - Rotations, Part II: Parallel Ax ...

"Lec 10 - Rotations, Part II: Parallel Axis Theorem" Fundamentals of Physics (PHYS 200) Part II of Rotations. The lecture begins with an explanation of the Parallel Axis Theorem and how it is applied in problems concerning rotation of rigid bodies. The moment of inertia of a disk is discussed as a demonstration of the theorem. Angular momentum and angular velocity are examined in a variety...

#### Lec 11 - Torque

"Lec 11 - Torque" Fundamentals of Physics (PHYS 200) This lecture is a continuation of an analogue to Newton's law: τ= lα. While previous problems examined situations in which τ is not zero, this time the focus is on extreme cases in which there is no torque at all. If there is no torque, α is zero and the angular velocity is constant. The lecture starts with a simple example of a seesaw...

#### Lec 12 - Introduction to Relativity

"Lec 12 - Introduction to Relativity "Fundamentals of Physics (PHYS 200) This is the first of a series of lectures on relativity. The lecture begins with a historical overview and goes into problems that aim to describe a single event as seen by two independent observers. Maxwell's theory, as well as the Galilean and Lorentz transformations are also discussed. 00:00 - Chapter 1. The...

#### Lec 13 - Lorentz Transformation

"Lec 13 - Lorentz Transformation" Fundamentals of Physics (PHYS 200) This lecture offers detailed analysis of the Lorentz transformations which relate the coordinates of an event in two frames in relative motion. It is shown how length, time and simultaneity are relative. 00:00 - Chapter 1. Describing an Event with Two Observers 33:58 - Chapter 2. The Relativity of Simultaneity 41:57 -...

#### Lec 14 - Introduction to the Four-Vector

"Lec 14 - Introduction to the Four-Vector" Fundamentals of Physics (PHYS 200) The four-vector is introduced that unifies space-time coordinates x, y, z and t into a single entity whose components get mixed up under Lorentz transformations. The length of this four-vector, called the space-time interval, is shown to be invariant (the same for all observers). Likewise energy and momentum are...

#### Lec 15 - Four-Vector in Relativity

"Lec 15 - Four-Vector in Relativity" Fundamentals of Physics (PHYS 200) The discussion of four-vector in relativity continues but this time the focus is on the energy-momentum of a particle. The invariance of the energy-momentum four-vector is due to the fact that rest mass of a particle is invariant under coordinate transformations. 00:00 - Chapter 1. Recap: The Four-Vectors of...

#### Lec 16 - The Taylor Series and Other Mat ...

"Lec 16 - The Taylor Series and Other Mathematical Concepts" Fundamentals 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...

#### Lec 17 - Simple Harmonic Motion

"Lec 17 - Simple Harmonic Motion" Fundamentals 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...

#### Lec 18 - Simple Harmonic Motion (cont.) ...

"Lec 18 - Simple Harmonic Motion (cont.) and Introduction to Waves" Fundamentals of Physics (PHYS 200) This lecture continues the topic of harmonic motions. Problems are introduced and solved to explore various aspects of oscillation. The second half of the lecture is an introduction to the nature and behavior of waves. Both longitudinal and transverse waves are defined and explained....

#### Lec 19 - Waves

"Lec 19 - Waves" Fundamentals of Physics (PHYS 200) Waves are discussed in further detail. Basic properties of the waves such as velocity, energy, intensity, and frequency are discussed through a variety of examples. The second half of the lecture deals specifically with superposition of waves. Constructive and destructive interferences are defined and discussed. 00:00 - Chapter 1....

#### Lec 20 - Fluid Dynamics and Statics and ...

"Lec 20 - Fluid Dynamics and Statics and Bernoulli's Equation" Fundamentals of Physics (PHYS 200) The focus of the lecture is on fluid dynamics and statics. Different properties are discussed, such as density and pressure. Archimedes' Principle is introduced and demonstrated through a number of problems. The final topic of the lecture is Bernoulli's Equation. 00:00 - Chapter 1....

#### Lec 21 - Thermodynamics

"Lec 21 - Thermodynamics" Fundamentals 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...

#### Lec 22 - The Boltzmann Constant and Firs ...

"Lec 22 - The Boltzmann Constant and First Law of Thermodynamics" Fundamentals of Physics (PHYS 200) This lecture continues the topic of thermodynamics, exploring in greater detail what heat is, and how it is generated and measured. The Boltzmann Constant is introduced. The microscopic meaning of temperature is explained. The First Law of Thermodynamics is presented. 00:00 - Chapter 1....

#### Lec 23 - The Second Law of Thermodynamic ...

"Lec 23 - The Second Law of Thermodynamics and Carnot's Engine" Fundamentals of Physics (PHYS 200) Why does a dropped egg that spatters on the floor not rise back to your hands even though no laws prohibit it? The answer to such irreversibility resides the Second Law of Thermodynamics which explained in this and the next lecture. The Carnot heat engine is discussed in detail to show how...

#### Lec Last - The Second Law of Thermodynam ...

"Lec Last - The Second Law of Thermodynamics (cont.) and Entropy" Fundamentals of Physics (PHYS 200) The focus of the lecture is the concept of entropy. Specific examples are given to calculate the entropy change for a number of different processes. Boltzmann's microscopic formula for entropy is introduced and used to explain irreversibility. 00:00 - Chapter 1. Review of the Carnot Engine...

#### Fundamentals of Physics with Ramamurti Shankar

Source of these courses is Yale
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
Yale  Website: http://www.dnatube.com/school/yale

#### Yale

Videos are obtained from Yale
COURSE NAME: Fundamentals of Physics with Ramamurti Shankar