How Do You Apply the Lagrange Equation to a Hoop at Theta Equals Zero?

Click For Summary
SUMMARY

The discussion centers on applying the Lagrange Equation to a hoop at an angle of theta equals zero (θ = 0). Participants emphasize the importance of understanding the position vector before proceeding with the application of the equation. The conversation highlights the necessity for foundational effort from users seeking assistance, adhering to community guidelines for effective collaboration.

PREREQUISITES
  • Understanding of Lagrange Mechanics
  • Familiarity with position vectors in physics
  • Basic knowledge of angular motion
  • Proficiency in mathematical notation and equations
NEXT STEPS
  • Study the derivation of the Lagrange Equation in classical mechanics
  • Learn how to calculate position vectors in polar coordinates
  • Explore angular motion concepts and their applications
  • Review community guidelines for effective forum participation
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in advanced applications of the Lagrange Equation in dynamics.

Shahbakht
Messages
1
Reaction score
0
Poster warned about not providing an attempt at a solution
Homework Statement
Two equal masses are glued to a massless hoop of radius R that is free to rotate about its center in a vertical plane. The angle between the masses is 2*theta. Find the frequency of small oscillations.

I dont get that if two masses, so where do we take the postion vector from? From the centre?
Relevant Equations
d/dt(dL/dtetha)=dL/dtetga
I couldn't even get the position vector. Help!
 
Last edited by a moderator:
Physics news on Phys.org
Hello Shahbakht, :welcome: !

Can you do it for ##\theta = 0## ? We need some effort from you before we are allowed to assist -- see guidelines
 
  • Like
Likes   Reactions: DrClaude

Similar threads

Replies
8
Views
2K
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 15 ·
Replies
15
Views
6K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
3
Views
3K
  • · Replies 38 ·
2
Replies
38
Views
4K
Replies
2
Views
2K
  • · Replies 22 ·
Replies
22
Views
3K