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Length Contraction Formula and Lorentz Factor
This section provides steps to derive the length contraction formula expressed with the Lorentz factor, based a thought experiment and the time dilation formula.
2022-10-05, ∼509🔥, 0💬

Falling Ball in Earth Frame of Reference
This section provides an example of a falling ball in the Earth frame of reference, where we need to add the gravitational force to make Newton's First and Second Laws of Motion valid.
2023-03-18, ∼504🔥, 1💬

Demonstration of Time Dilation - Amy on the Train
This section provides a thought experiment to demonstrate time dilation by starting with Amy synchronizing a clock with a bouncing light pulse on a moving train.
2022-10-04, ∼491🔥, 0💬

Time Dilation in Special Relativity
This chapter provides an introduction of time dilation in special relativity. Topics include a thought experiment showing time dilation; calculation of time dilation factor (Lorentz Factor); reciprocity of time dilation; elapsed time of distant event.
2022-10-13, ∼485🔥, 0💬

Meter Prefixes and Other Units
This section introduces prefixes used on 'meter' to represent decadic multiples or fractions of a meter. It also covers other standard units to measure distances like foot, mile, nautical mile and lightyear.
2022-10-12, ∼477🔥, 0💬

Demonstration of Length Contraction
This section provides a thought experiment to demonstrate length contraction using a laser meter to observe and calculate the length of a carriage on a moving train from two different frames of references.
2022-10-11, ∼476🔥, 0💬

Second Prefixes and Other Units
This section introduces prefixes used on 'second' to represent decadic multiples or fractions of a second. It also covers other standard units to measure durations like minute, hour, day and year.
2022-10-11, ∼472🔥, 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, ∼468🔥, 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, ∼460🔥, 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, ∼457🔥, 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, ∼456🔥, 0💬

Action - Functional of Position Function x(t)
This section describes the Action S as a functional of position function x(t).
2022-11-20, ∼452🔥, 0💬

Phase Portrait of Pendulum Motion
This section provides phase portrait examples for single object in simple pendulum motion.
2022-10-08, ∼441🔥, 0💬

The Relativity of Simultaneity
This chapter provides an introduction of the relativity of simultaneity in special relativity. Topics include the definition of the relativity of simultaneity; a thought experiment showing the relativity of simultaneity.
2022-10-14, ∼433🔥, 0💬

What Is Phase Portrait
This section provides an introduction to Phase Portrait, which is the trajectory curve of a system in the the Phase Space for a given period of time.
2022-10-05, ∼420🔥, 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, ∼419🔥, 0💬

What Is Phase Space
This section provides a quick introduction to Phase Space, which is the collection of all possible sets of canonical coordinates (q,p) of a system.
2022-10-31, ∼418🔥, 0💬

Poisson Bracket Expression
This chapter provides an introduction of phase space and phase portrait. Topics include Poisson Bracket as a partial differential expression; Hamilton Equations in Poisson Brackets; total time derivative of observables.
2024-12-14, ∼415🔥, 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, ∼414🔥, 0💬

About This Book
This section provides some detailed information about this book - Physics Notes - Herong's Tutorial Notes.
2022-10-11, ∼413🔥, 0💬

Hamiltonian on Simple Harmonic Motion
This section provides an example of calculating the Hamiltonian on a mechanical system of an single object in simple harmonic motion and applying the Law of Conservation of Energy.
2022-11-16, ∼412🔥, 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, ∼406🔥, 0💬

Elapsed Time between Distant Events
This section provides a thought experiment to demonstrate that elapsed times between two events that happen at different locations in a moving frame may be observed as contracted or dilated from a stationary frame.
2022-11-07, ∼404🔥, 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, ∼402🔥, 0💬

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