The Theoretical Minimum: What You Need to Know to Start Doing Physics by Leonard Susskind & George Hrabovsky
Author:Leonard Susskind & George Hrabovsky [Susskind, Leonard]
Language: eng
Format: mobi
ISBN: 9780465031740
Publisher: Basic Books
Published: 2013-01-28T23:00:00+00:00
The notation for generalized momentum is pi.
With that definition, the Euler-Lagrange equations are
Let’s do a couple of examples starting with a particle in polar coordinates. In this case the qi’s are the radius, r, and the angle, θ. We can use the result from Exercise 4 to get the Lagrangian:
The generalized momentum conjugate to r (the r momentum) is
and the corresponding equation of motion is
Using and canceling m from both sides, we can write this equation in the form
The equation of motion for the angle θ is especially interesting. First consider the conjugate momentum to θ:
Download
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.
Barron's AP Biology by Goldberg M.S. Deborah T(3929)
Aliens by Jim Al-Khalili(2686)
MCAT Physics and Math Review 2019-2020 by Kaplan Test Prep(1675)
Cracking the AP Physics C Exam, 2018 Edition by Princeton Review(1618)
The Two Cultures by C. P. Snow(1212)
Biology For Dummies by Fester Kratz Rene(1185)
Biology For Dummies (For Dummies (Math & Science)) by Rene Fester Kratz(1179)
500 AP Chemistry Questions to Know by Test Day(1152)
Cracking the AP Chemistry Exam, 2012 Edition by Princeton Review(1139)
MCAT Organic Chemistry Review 2019-2020 by Kaplan Test Prep(1137)
MCAT General Chemistry Review 2019-2020 by Kaplan Test Prep(1102)
Cracking the AP Physics 2 Exam, 2018 Edition by Princeton Review(1083)
Cracking the AP Chemistry Exam, 2018 Edition by Princeton Review(1047)
McGraw-Hill Education Preparation for the GED Test by McGraw-Hill Education Editors(1043)
Aliens: The World's Leading Scientists on the Search for Extraterrestrial Life by Jim Al-Khalili(1028)
500 AP Chemistry Questions to Know by Test Day by Mina Lebitz(1013)
Chemistry Essentials For Dummies by John T. Moore(1001)
McGraw-Hill Education SAT Subject Test Biology by Stephanie Zinn(990)
Cracking the AP Environmental Science Exam, 2018 Edition by Princeton Review(965)
