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Demonstration of Time Dilation - Formula
This section continues the thought experiment to demonstrate time dilation. An isosceles triangle is used to derive the time dilation formula with Lorentz factor.
2022-10-05, ∼283🔥, 0💬

Introduction of Hamiltonian
This chapter provides an introduction of Hamiltonian. Topics include introduction of Hamiltonian; energy conservation; conservative system; free fall motion; simple harmonic motion; simple pendulum motion, momentum and Hamilton Equations.
2022-10-13, ∼282🔥, 0💬

About This Book
This section provides some detailed information about this book - Physics Notes - Herong's Tutorial Notes.
2022-10-11, ∼279🔥, 0💬

Action - Integral of Lagrangian
This section provides an introduction of Action, the integral of Lagrangian of a given system between two time instances.
2022-10-30, ∼278🔥, 0💬

What Is Poisson Bracket
This section provides a quick introduction to Poisson Bracket, which is an operation of two functions on the phase space (q,p) of a system.
2024-12-14, ∼277🔥, 0💬

Phase Portrait of Simple Harmonic Motion
This section provides phase portrait examples for a single object in simple harmonic motion.
2022-10-09, ∼277🔥, 0💬

Introduction of Spacetime
This chapter provides an introduction of spacetime. Topics include definition of spacetime; world line of an object in a spacetime frame; light cone of an event in a spacetime frame.
2022-11-05, ∼273🔥, 0💬

Moving Frames and Galilean Transformation
This section provides a quick introduction of the Galilean transformation between two frames that are move relative to each other.
2022-10-16, ∼273🔥, 0💬

Introduction of Space
This chapter provides an introduction of space. Topics include what is space; standard unit to measure distance in space; how long is one 'meter'.
2022-11-02, ∼270🔥, 0💬

What Is an Inertial Frame of Reference
This section describes an inertial frame of reference - a frame of reference in which no acceleration can be detected in any direction.
2022-10-04, ∼270🔥, 0💬

Relation of Momentum and Potential Energy
This section describes the Relation of Momentum and Potential Energy.
2022-10-07, ∼268🔥, 0💬

Poisson Bracket and Hamilton Equations
This section describes Hamilton Equations in terms of the Poisson brackets.
2024-12-14, ∼267🔥, 0💬

Newton's First Law of Motion
This section introduces Newton's First Law of Motion - If the net force acting on an object is zero, then the velocity of the object is constant.
2022-10-05, ∼267🔥, 0💬

What Is Spacetime
This section provides a quick introduction of speed, which is a mathematical model used to describe our universe in frame of references that combines space and time together.
2022-10-04, ∼267🔥, 0💬

Length Contraction in Special Relativity
This chapter provides an introduction of length contraction in special relativity. Topics include a thought experiment showing length contraction; deriving length contraction formula; reciprocity of length contraction.
2022-10-09, ∼265🔥, 0💬

Lagrangian in Cartesian Coordinates
This section provides a quick introduction to the Lagrangian in Cartesian coordinates, expressed in terms of r, r' and t.
2022-12-08, ∼263🔥, 0💬

2-Dimensional Cartesian Coordinate System
This section provides an introduction of 2-dimensional Cartesian coordinate systems, which uses perpendicular projections on 2 perpendicular axes to describe any locations in the frame of reference.
2022-10-08, ∼263🔥, 0💬

Falling Ball in Elevator Frame of Reference
This section provides an example of a falling ball in the elevator frame of reference, where we need to add a fictitious force to cancel out the gravitational force to make Newton's First and Second Laws of Motion valid.
2022-10-07, ∼263🔥, 0💬

What Is Space
This section provides a quick introduction of space, which is a property of our universe that gives us a sense of the size of an object and the distance between two objects.
2022-10-05, ∼263🔥, 0💬

What Is Distance
This section introduces distance between two objects. The standard unit of distance is called 'meter', which is the length travelled by light in 1/299,792,458 of a second.
2022-10-05, ∼263🔥, 0💬

Hamilton's Principle - Stationary Action
This section provides an introduction of Action, an integral of Lagrangian function of a given system between two time instances.
2022-11-30, ∼261🔥, 0💬

Introduction of Generalized Coordinates
This chapter provides an introduction of Generalized Coordinates. Topics include introduction of generalized position, velocity and momentum; Lagrange Equations and Hamilton Equations in generalized coordinates; Legendre Transformation.
2022-11-05, ∼261🔥, 0💬

Demonstration of Time Dilation - Bob on the Ground
This section continues the thought experiment to demonstrate time dilation with Bob observing the same bouncing light pulse clock installed on a moving train from a stationary frame.
2022-10-06, ∼258🔥, 0💬

Poisson Bracket in Portrait Space Transformation
This section describes observables in phase space in terms of the Poisson brackets.
2024-12-14, ∼256🔥, 0💬

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