Differential equations | Dynamical systems
A free motion equation is a differential equation that describes a mechanical system in the absence of external forces, but in the presence only of an inertial force depending on the choice of a reference frame. In non-autonomous mechanics on a configuration space , a free motion equation is defined as a second order non-autonomous dynamic equation on which is brought into the form with respect to some reference frame on . Given an arbitrary reference frame on , a free motion equation reads where is a connection on associates with the initial reference frame . The right-hand side of this equation is treated as an inertial force. A free motion equation need not exist in general. It can be defined if and only if a configuration bundle of a mechanical system is a toroidal cylinder . (Wikipedia).
Describes how to calculate the time for an object to fall if given the height and the height that an object fell if given the time to fall. You can see a listing of all my videos at my website, http://www.stepbystepscience.com
From playlist Mechanics
A look at free, simple harmonic motion without any damping.
From playlist Differential Equations
The physically more accurate problem of damped harmonic motion.
From playlist Differential Equations
C60 Example problem involving free damped motion
Example problem using a linear differential equation to solve for damped harmonic motion.
From playlist Differential Equations
C55 Example problem of free undamped motion
Solving a problem of free undamped harmonic motion.
From playlist Differential Equations
Newton's 2nd Law (14 of 21) Free Body Diagrams; An Explanation
Describes what free body diagrams are. How to determine if an object is experiencing balanced or unbalanced forces and what it is doing. Free-body diagrams show the relative magnitude and direction of all forces acting upon an object. A free body diagram is a vector diagram. The relative s
From playlist Newton's Second Law; Force, Mass and Acceleration
Newton's 2nd Law (15 of 21) Free Body Diagrams, One Dimensional Motion
Shows how to draw free body diagrams for simple one dimensional motion. Free-body diagrams show the relative magnitude and direction of all forces acting upon an object. A free body diagram is a vector diagram. The relative size of the arrow in a free body diagram shows the magnitude (amou
From playlist Newton's Second Law; Force, Mass and Acceleration
A shorter retelling of my introduction to Free Fall. https://www.flippingphysics.com/throwing-a-ball.html #Freefall #physics #physicseducation
From playlist Vertical Videos
Introduction to Free-Fall and the Acceleration due to Gravity
In this lesson we extend our knowledge of Uniformly Accelerated Motion to include freely falling objects. We talk about what Free-Fall means, how to work with it and how to identify and object in Free-Fall. Today I get to introduce so many of my favorites: the medicine ball, the vacuum t
From playlist Motion in One Dimension - AP Physics 1
23. Vibration by Mode Superposition
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.003SC Engineering Dynamics, Fall 2011
Newtons Second Law and Circular Motion
This video lesson uses five example problems to demonstrate the use of a free-body diagram, Newton's second law, and circular motion equations to solve a problem related to an object moving in a circle. Mathematic of Circular Motion Video (referenced on Slide 2) can be found: https://you
From playlist Circular and Satellite Motion
Introduction to Free Undamped Motion (Spring System)
This video explains free undamped motion and interprets and solves a free undamped motion initial value problem. Site: http://mathispower4u.com
From playlist Modeling with Higher Order Differential Equations
[Lesson 19] QED Prerequisites: Least Action and the Free Particle
In this lesson we apply some fundamental philosophical principles to generate a Lagrangian function for the free particle. We examine the relativistic and non-relativistic case. The goal is to understand that when we are examining fundamental physical principles we will inevitably apply gu
From playlist QED- Prerequisite Topics
Introduction to Projectile Motion
My strategy for solving any projectile motion problem. You need to split the variables in to the x and y directions and solve for time. Sounds simple and it really is, usually. Want Lecture Notes? http://www.flippingphysics.com/projectile-motion.html 0:00 Intro 0:11 Review of Linear Mo
From playlist IB Physics 2.1: Motion
Physics, Kinematics (1 of 12) What is Free Fall? An Explanation
Gives an explanation of free fall motion for one dimensional vertical kinematics. Includes one worked example problem. You can link to all my videos from my website at http://www.stepbystepscience.com Links to my other free fall videos below: (1) Free Fall: An Explanation https://www.yout
From playlist Kinematics, Free Fall
(2.4.2) Introduction to Free Undamped Motion
This video lesson introduces free undamped motion to model a spring system. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Lec 10 - Phys 237: Gravitational Waves with Kip Thorne
Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and
From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics
27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.003SC Engineering Dynamics, Fall 2011
Newton's 2nd Law (16 of 21) Drawing Free Body Diagrams, Objects with Balanced Forces
Describes how to draw free body diagrams for objects with balanced forces. Free-body diagrams show the relative magnitude and direction of all forces acting upon an object. A free body diagram is a vector diagram. The relative size of the arrow in a free body diagram shows the magnitude (a
From playlist Newton's Second Law; Force, Mass and Acceleration
AP Physics 1: Kinematics Review
Looking for an AP Physics 1 Practice Exam? https://www.ultimatereviewpacket.com/courses/ap-physics-1 Review of all of the Kinematics topics covered in the AP Physics 1 curriculum. Plus some bonus introductory stuff. Want Lecture Notes? http://www.flippingphysics.com/ap1-kinematics-review
From playlist AP Physics 1 Review