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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, ∼224🔥, 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, ∼218🔥, 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, ∼207🔥, 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, ∼192🔥, 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, ∼185🔥, 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, ∼185🔥, 0💬

Phase Portrait of Pendulum Motion
This section provides phase portrait examples for single object in simple pendulum motion.
2022-10-08, ∼182🔥, 0💬

List of Various Speeds
This section lists various speeds to give us a sense of scale about speed.
2022-10-21, ∼181🔥, 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, ∼181🔥, 0💬

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, ∼179🔥, 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, ∼178🔥, 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, ∼176🔥, 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, ∼173🔥, 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, ∼173🔥, 0💬

What Is Light Cone
This section provides a quick introduction of light cone, which is a 4-dimensional surface in a spacetime frame where all events on the surface can be connected to a central event by light.
2022-10-04, ∼172🔥, 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, ∼169🔥, 0💬

Formula for the Relativity of Simultaneity
This section provides a thought experiment to derive the formula for the relativity of simultaneity.
2022-10-04, ∼169🔥, 0💬

List of Various Durations
This section lists various durations to give us a sense of scale about time.
2022-12-26, ∼168🔥, 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, ∼166🔥, 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, ∼165🔥, 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, ∼164🔥, 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, ∼163🔥, 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, ∼162🔥, 0💬

Newton's Laws of Motion
This chapter provides an introduction of Newton's Laws of Motion. Topics include Newton's First, Second and Third Laws of Motion; dependency on frame of reference; the gravitational force; the fictitious force.
2022-11-07, ∼161🔥, 0💬

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