Differential geometry | Connection (mathematics)

Moving frame

In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential geometry of smooth manifolds embedded in a homogeneous space. (Wikipedia).

Moving frame
Video thumbnail

Walking Gears

A simple gears mechanism moving a frame structure. Used in robot toys. Free 3D model at https://skfb.ly/o6X7q.

From playlist Walking Machines

Video thumbnail

Reference Frames (9.1)

In this video, I define "inertial reference frame," "non-inertial reference frame," and "inertial force."

From playlist Intermediate Classical Mechanics

Video thumbnail

Linearly Accelerating Frame (9.2)

In this video, I rewrite Newton's second law in a frame that accelerates with constant acceleration, and identify the associated inertial force.

From playlist Intermediate Classical Mechanics

Video thumbnail

Reference Frames

This physics video tutorial provides a basic introduction into reference frames. Whenever you discuss an object's motion such as speed or velocity - you need to compare it with respect to something. And that something is the frame of reference.

From playlist New Physics Video Playlist

Video thumbnail

Accelerated motion and oscillation!

In this video i demonstrate accelerated motion with interface. I show the graphs of simple accelerating motion and simple harmonic motion with force and motion sensor!

From playlist MECHANICS

Video thumbnail

7 Rotation of reference frames

Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy

From playlist Life Science Math: Vectors

Video thumbnail

Physics 11.1 Rigid Body Rotation (1 of 10) Basics

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the translational, rotational, and combined motion of rigid body rotation.

From playlist PHYSICS 11 ROTATIONAL MOTION

Video thumbnail

Time Derivatives in Inertial and Rotating Frames (9.3)

In this video, I write down a relationship between the time derivatives of a vector quantity in the inertial and rotating frames.

From playlist Intermediate Classical Mechanics

Video thumbnail

Physics - Special Relativity (20 of 43) The Lorentz Transformation Equations: Length

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and find Lorentz transformation equation in regards to length. Next video in the Special Relativity series can be seen at: http://youtu.be/N34J3CDj_6w

From playlist MODERN PHYSICS 1: SPECIAL RELATIVITY

Video thumbnail

[Lesson 15] QED Prerequisites-Lorentz Transformations-2

In this lesson we use the matrix formalism and Minkowski diagrams to understand Length contraction and time dilation. Then we review the barn-pole paradox and discuss the significance of the relativity of simultaneity. Please consider supporting this channel on Patreon: https://www.patr

From playlist QED- Prerequisite Topics

Video thumbnail

Special Relativity From a Geometric Perspective

A geometric explanation of Special Relativity and Lorentz Transformations using visuals and Linear Algebra. Some experience in Linear Algebra is helpful in understanding the video, but I do go over all the ideas necessary to understand the rest of the explanation. If you want to learn mor

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Einstein Didn't Invent Relativity! - Physics Explained for Beginners

Find out who came up with the concept of relativity in this video. Hey guys, I'm back with the final video on this channel for 2019! I hope it's been a good year for you. In this video, I wanted to discuss relativity, in order to get away a bit from the usual quantum chat. A lot of you w

From playlist Relativity by Parth G

Video thumbnail

Special Relativity | Lecture 1

(April 9, 2012) In the first lecture of the series Leonard Susskind discusses the concepts that will be covered throughout the course. In 1905, while only twenty-six years old, Albert Einstein published "On the Electrodynamics of Moving Bodies" and effectively extended classical laws of r

From playlist Lecture Collection | Special Relativity

Video thumbnail

[Lesson 15 and 1/3] QED Prerequisites Lorentz Transformations: Rod and Ring Paradox

In this lesson we exploit the pure boost transformation matrices to analyse the "Rod and Ring" paradox of special relativity. The key takeaway: two non-colinear boosts are NOT equivalent to any single boost! Please consider supporting this channel on Patreon: https://www.patreon.com/XYL

From playlist QED- Prerequisite Topics

Video thumbnail

Frames of Reference (1960) [part 1 of 2]

A 1960 film from the "Physical Science Study Committee" (PSCC) series on the laws of physics, inertia, and special relativity in different frames of reference. Producer & Director: Richard Leacock Cinematography: Abraham Morochnik Narration: University of Toronto professors Donald I

From playlist Classic Science Films

Video thumbnail

Physics - Special Relativity (17 of 43) Galilean Transformation

Visit http://ilectureonline.com for more math and science lectures! In this video I will review Galilean transformations (in regards to classic mechanics). Next video in the Special Relativity series can be seen at: http://youtu.be/eLGLQ1n6sjs

From playlist MODERN PHYSICS 1: SPECIAL RELATIVITY

Video thumbnail

Relativity 5c - twin paradox redux 1

Here we extend our video 5a (https://youtu.be/kN_d7eknfYk) treatment of the twin "paradox" of special relativity. Apologies to Richard Feynman for my typo at 2:46 which renamed him Feynmann. This while I was literally reading my copy of the Feynman Lectures to get the quote in question.

From playlist Relativity

Video thumbnail

General Relativity - Part 1 (Special Relativity) | Ben Stortenbecker

This video kicks off a multipart series on the math and science of Einstein's general relativity with a thorough discussion on special relativity. We'll cover the early history, the Lorentz transform, "proper time", twins paradox, relativistic effects in GPS and conclude with four dimensio

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

In The Wide Open Spaces! Ballooning! (1933)

"There's no place like home and no wider open space than the air - And the way to envy one and enjoy the other is by balloon - " M/S of people crowded around the basket of a hot air balloon. Four men stand in the basket, one of whom holds a movie camera. High angle M/S of the balloon li

From playlist The Things That Move Us: Balloons

Video thumbnail

Lecture 4 | Introduction to Robotics

Help us caption and translate this video on Amara.org: http://www.amara.org/en/v/8lM/ Lecture by Professor Oussama Khatib for Introduction to Robotics (CS223A) in the Stanford Computer Science Department. Professor Khatib shows a short video on a device called The Hummingbird, and then be

From playlist Lecture Collection | Introduction to Robotics

Related pages

Tangent bundle | Torsion of a curve | Cartan's equivalence method | Tautological one-form | Joseph Alfred Serret | Congruence (geometry) | Lie group | Principal bundle | Vector space | Unit vector | Tangent space | Fiber bundle | Coframe | Derivative | Latitude | Frenet–Serret formulas | Solder form | Élie Cartan | Frame bundle | Kronecker delta | Projective space | Surface (mathematics) | Darboux frame | Curve | Pullback bundle | Klein geometry | General linear group | Riemannian geometry | Torus | Cotangent bundle | Mathematics | Cartesian coordinate system | Projective linear group | Orthonormal frame | Orthonormal basis | Projective frame | Sphere | Integrability conditions for differential systems | Vector bundle | Cartan connection | Smooth structure | Manifold | Principal homogeneous space | Affine space | Atlas (topology) | Curvature | Darboux derivative | Differential geometry | Homogeneous space | Torsion tensor | Canonical coordinates | Circle | Pullback (differential geometry)