Newton's Second Law in Spherical Coordinates | Classical Mechanics
Автор: Dot Physics
Загружено: 2022-09-22
Просмотров: 5453
Описание:
In order to use Newton's Second Law in spherical coordinates, you need the acceleration in spherical coordinates. Here's how to do that.
Related - Newton's second law in polar coordinates (easier)
• Newton's Second Law in Polar Coordinates |...
00:00 - Intro
00:28 - Review Acceleration in Cartesian Coordinates
02:59 - Spherical Coordinates
08:37 - Spherical to Cartesian
09:47 - Finding r-hat
12:18 - Finding phi-hat
14:11 - Finding theta-hat
15:42 - Review 1
16:34 - Velocity in spherical
22:03 - Acceleration in spherical
24:20 - d(theta-hat)/dt
27:14 - d(phi-hat)/dt
31:29 - Review 2
32:15 - Finishing acceleration
36:00 - Newton's second law
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