This example problem is from the Undergraduate Mechanics text: Conceptual Dynamics. This problem analyzes the motion of a particle under the influence of forces employing Newton’s 2nd Law and kinematics. Specifically, a polar coordinate reference frame is employed.

# Daily Archives: June 15, 2019

Newtonian mechanics!! I got a request to discuss the Schrödinger equation but FIRST I must start with how we understand particles and their position. And this starts with Newtonian mechanics. Next video will be explaining quantum particles. Then explaining waves. Then wave function aka Strödinger equation! But first got to run to my next casting…

Summary of the day’s proceedings – Professor Robert Iliffe (University of Sussex) Part of the Voltaire and the Newtonian Revolution Conference, Centre for the History and Philosophy of Physics, St Cross College, Oxford.

Part I: Vector Arithmetic, Lecture 2: “Arrow” Arithmetic Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is dot product or scalar product of 2 vectors A and B. Then I will give 4 “typical” examples of dot products. Next video in the series can be seen at: https://youtu.be/Q3FVhpsF5aU

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Visit http://ilectureonline.com for more math and science lectures! In this video I will determine if the lines x=1+4t, y=5-4t, z=7+5t, and x=3+8t, y=2-8t, z=3+2t are parallel using parametric equations. Next video in the series can be seen at: https://youtu.be/xHG2_Rb58XU

In this video I continue with my tutorials which cover the necessary vector calculus for classical electromagnetism which is pitched at university undergraduate level. Specifically in this video I discuss what happens when we take the divergence of a cross product. The tutorial videos cover a range of vector calculus topics such as grad, div,…

A discussion of vector fields and the application of calculus ideas (visualization, continuity, derivatives, and integrals) to them.

In this video I continue with my tutorials which cover the necessary vector calculus for classical electromagnetism which is pitched at university undergraduate level. Specifically I derive the scalar potential for the Helmholtz Theorem. The Helmholtz theorem is vital to simplify the study of electric and magnetic fields; permitting the introduction of a scalar and…

Sal finds the first and the second derivatives of the vector-valued function h(t)=(-t_-6,4t_+2t+1). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/e/second-derivatives–vector-valued-functions-?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/v/derivatives-in-polar-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/v/second-derivative-of-parametric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC – everything from AP Calculus AB plus a few extra goodies, such as…

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the work done in a vector field W=(F)(dr) where F(x,y)=[(x+y)]i+(y-x)j along a different path. Ex. 4B Next video in the series can be seen at: https://youtu.be/id5DKsZ8v78

Course materials available here: https://github.com/fastai/numerical-linear-algebra A high level overview of some foundational concepts in numerical linear algebra: – Matrix and Tensor Products – Matrix Decompositions – Accuracy – Memory use – Speed – Parallelization & Vectorization Course overview blog post: http://www.fast.ai/2017/07/17/num-lin-alg/ Taught in the University of San Francisco MS in Analytics (MSAN) graduate program: https://www.usfca.edu/arts-sciences/graduate-programs/analytics…

Changing our coordinate system to find the transformation matrix with respect to standard coordinates Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-introduction-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-alternate-basis-tranformation-matrix-example-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes…

http://adampanagos.org Course website: https://www.adampanagos.org/ala-applied-linear-algebra A linear transformation can always be represented as a matrix operation on some vector x. In this example we’re told values for T(e1), T(e2), and T(e3) where ei are “coordinate vectors”. These vectors have a zero in every coordinate except a single one in their “ith” coordinate. Using this information we…

A more formal understanding of functions Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/vector-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/showing-that-the-candidate-basis-does-span-c-a?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the…

Inverse Matrices Instructor: Ana Rita Pires View the complete course: http://ocw.mit.edu/18-06SCF11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Parametric Representations of Lines in R2 and R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many…

Full article available on ScienceDirect: http://www.sciencedirect.com/science/article/pii/S0377025712000468

In this video I show how to determine support reactions applying equilibrium concepts. I will explain how to choose a conventional coordinate system that we will use to apply equations of moments and forces at equilibrium. Newton’s principles of equilibrium are implemented along with free-body diagrams. Beer, Ferdinand Pierre. Vector Mechanics for Engineers: Statics and…

According to NASA itself, Newton’s third law of motion states as: “When object A applies a force on object B, then object B will apply a force on object A, with the same magnitude, but in the opposite direction.” If rocket is our object A, what is our object B in the ultra deep vacuum…

Game link: https://www.roblox.com/games/2482962670/Star-Corps#!/about Explore, team up and fight in a randomly-generated galaxy! Compete with rival factions for colonies and resources to come out on top as the #1 galactic space mega-corporation! Features include a unique balance between fun, arcade-style gameplay and newtonian physics-based mechanics for interesting and nuanced space combat, modular support for an unlimited…

Dr. Miha Kos from the House of Experiments ( http://www.h-e.si ) and Dr. Gorazd Planinšič from the Faculty of Mathematics and Physics at the University of Ljubljana ride through a pool of non-Newtonian fluid. A young girl also performs a cartwheel in the same pool. The video was made at the 2009 Sciencetival in Ljubljana,…