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Результаты поиска “Generic motion to dismiss form” за 2013
Concise Modular Calculus [68/97]: Arc Length, Curvature, Components of Acceleration
 
01:10:18
(5/5 on Calculus of Vector-Valued Functions) Explains through a dynamical argument how the tangential and normal components of the acceleration are defined. Introduces arc length, parametrization with respect to the arc length and curvature as necessary tools. Computation of the components of the acceleration, if underestimated, can be harder than it should be, so particular attention is given to an example showing this computation. Concludes with a discussion of the centripetal force for circular motion. All videos and slides for single variable calculus available at http://www2.latech.edu/~schroder/SVC_videos.htm. All videos and slides for multivariable calculus available at http://www2.latech.edu/~schroder/MVC_videos.htm. Public domain version of the electronic calculus textbook available at http://www.latech.edu/~schroder/SVC/Concise_Modular_Calculus.pdf.
Concise Modular Calculus [63/97]: The Vector Product/Cross Product (4/4 on Vector Algebra)
 
40:57
Justifies the cross product as the appropriate tool to compute the force on a moving charge that travels in a magnetic field. Derives the geometric properties of the cross product, including the area formula for a parallelogram and the volume formula for a rectangular parallelepiped. Applies the cross product in the computation of a torque. All videos and slides for single variable calculus available at http://www2.latech.edu/~schroder/SVC_videos.htm. All videos and slides for multivariable calculus available at http://www2.latech.edu/~schroder/MVC_videos.htm. Public domain version of the electronic calculus textbook available at http://www.latech.edu/~schroder/SVC/Concise_Modular_Calculus.pdf.