×
Log in to StudySoup

Forgot password? Reset password here

The Hamiltonian X is always given by g-C = pq L (in one

Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor ISBN: 9781891389221 90

Solution for problem 13.4 Chapter 13

Classical Mechanics | 0th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor

Classical Mechanics | 0th Edition

4 5 0 318 Reviews
16
2
Problem 13.4

The Hamiltonian X is always given by g-C = pq L (in one dimension), and this is the form you should use if in doubt. However, if your generalized coordinate q is "natural" (relation between q and the underlying Cartesian coordinates is independent of time) then J-C = T U, and this form is almost always easier to write down. Therefore, in solving any problem you should quickly check to see if the generalized coordinate is "natural," and if it is you can use the simpler form J-C = T + U. For the Atwood machine of Example 13.2 (page 527), check that the generalized coordinate was "natural." [Hint: There are one generalized coordinate x and two underlying Cartesian coordinates x and y. You have only to write equations for the two Cartesians in terms of the one generalized coordinate and check that they don't involve the time, so it's safe to use g-C = T U. This is ridiculously easy!]

Step-by-Step Solution:
Step 1 of 3

CES210: Conservation and Environmental Science Chapter Nineteen: Conventional Energy Case Study: Pipeline Perils - Tar sands are deposits of a semi-solid hydrocarbon called bitumen mixed with sand and clay. Canada has the world’s largest and most accessible tar sands resources. Deposits in northern Alberta are estimated to be equivalent to 1.7 trillion barrels...

Step 2 of 3

Chapter 13, Problem 13.4 is Solved
Step 3 of 3

Textbook: Classical Mechanics
Edition: 0
Author: John R Taylor
ISBN: 9781891389221

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The Hamiltonian X is always given by g-C = pq L (in one

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here