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Frame of Reference with 2 Objects
This section provides an example of a frame of reference with 2 objects, where locations of other objects are described based where they are located on the line that connects the 2 reference objects. 2022-10-11, ∼226🔥, 0💬

Lagrange Equation on Free Fall Motion
This section provides an example of applying the Lagrange Equation to an object in free fall motion. 2022-10-10, ∼332🔥, 0💬

Introduction of Frame of Reference
This chapter provides an introduction of frame of reference. Topics include what is frame of reference; what is coordinate system; examples of 1-dimensional, 2-dimensional and 3-dimensional frame of references; 1 frame of reference associated with 2 coordinate systems. 2022-10-10, ∼367🔥, 0💬

Assumptions of Special Relativity
This section describes the two assumptions for the special theory of relativity proposed by Albert Einstein in 1905. 2022-10-10, ∼242🔥, 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💬

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💬

Phase Portraits of 2-D Homogeneous Linear Systems
This section provides a quick introduction on classifications of phase portraits of 2-D homogeneous linear systems based on characteristic polynomials of their linear coefficient matrixes. 2022-10-09, ∼409🔥, 0💬

What Is the Relativity of Simultaneity
This section provides a quick introduction on the relativity of simultaneity, a phenomenon where two events happening in two different locations that occur simultaneously in one reference frame, occur non-simultaneously in another reference frame that is relatively moving. 2022-10-09, ∼243🔥, 0💬

Phase Portrait of Pendulum Motion
This section provides phase portrait examples for single object in simple pendulum motion. 2022-10-08, ∼317🔥, 0💬

What Is Hamiltonian
This section provides a quick introduction to the Hamiltonian, which is a derived property of a mechanical system defined as the total energy, the sum of kinetic energy and potential energy of the system. 2022-10-08, ∼256🔥, 0💬

Different Speeds Observed in Different Frames
This section describes the dependency of speed on the frame of reference. selecting different frames of reference will result different speeds of the same moving object. 2022-10-08, ∼251🔥, 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💬

Phase Space and Phase Portrait
This chapter provides an introduction of phase space and phase portrait. Topics include introduction of canonical coordinates of a system; trajectory curves of a system for a given period of time; phase portraits of free fall, simple harmonic, and pendulum motions; motion equations of linear systems... 2022-10-08, ∼304🔥, 0💬

What Is World Line
This section provides a quick introduction of world line, which is the path of an object left in a spacetime frame of reference. 2022-10-08, ∼435🔥, 0💬

Introduction of Special Relativity
This chapter provides an introduction of the special theory of relativity. Topics include 2 assumptions of special relativity; inertial frame of references; the principle of relativity; constancy of speed of light. 2022-10-08, ∼240🔥, 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💬

3-Dimensional Cartesian Coordinate System
This section provides an introduction of 3-dimensional Cartesian coordinate systems, which uses perpendicular projections on 3 perpendicular axes to describe any locations in the frame of reference. 2022-10-07, ∼234🔥, 0💬

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

Time Dilation - Moving Clock Is Slower
This section provides a quick introduction on time dilation, a phenomenon of difference of elapsed time between two events as measured by observers in different inertial frames that are moving relative to each other. 2022-10-06, ∼354🔥, 0💬

Length Contraction - Moving Object Is Shorter
This section provides a quick introduction on length contraction, a phenomenon of difference of object lengths in the moving direction as measured by observers in different inertial frames that are moving relative to each other. 2022-10-06, ∼307🔥, 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💬

Relation of Momentum and Hamiltonian
This section describes the Relation of Momentum and Hamiltonian. 2022-10-05, ∼230🔥, 0💬

Minkowski Spacetime and Diagrams
This chapter provides an introduction of Minkowski spacetime and diagram. Topics include introduction of Minkowski spacetime model; events interval; Lorentz transformation; Minkowski diagram; demonstration of time dilation and length contraction in Minkowski diagram. 2022-10-05, ∼336🔥, 0💬

Introduction of Time
This chapter provides an introduction of time. Topics include what is time; standard unit to measure duration of time; how long is one 'second'. 2022-10-05, ∼356🔥, 0💬

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Android ASP Astrology Big5 Bitcoin Blowfish Built-in C# Calendar CD-DVD Cheminformatics Chinese Cryptography DES Email Encoding Ethereum Flash GB2312 General H Herong History HTML Java JavaScript JDBC JSP JVM Linux Molecule Movie Music MySQL Neural Network Perl PHP Physics PKI Publication Python REST SOAP Sorting Swing TV Series UML Unicode VBScript Web Web-Services Windows WSDL XML XMLPad XSD XSL-FO