Where can I find online resources to help with classical mechanics?

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SUMMARY

The discussion centers on finding online resources for classical mechanics, specifically for solving problems involving Lagrangian mechanics. The user is struggling with a problem involving a bead moving along a conical spiral, requiring the formulation of the equation of motion using cylindrical coordinates. A key suggestion is to express the Lagrangian in terms of the variables ρ, φ, and z, and to derive z as a function of time. This approach provides a structured method to tackle similar problems in classical mechanics.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Familiarity with cylindrical coordinates
  • Basic knowledge of differential equations
  • Concept of constraints in motion
NEXT STEPS
  • Research "Lagrangian mechanics" and its applications in classical mechanics
  • Study "Cylindrical coordinates in physics" for better comprehension
  • Explore online resources such as MIT OpenCourseWare for classical mechanics problem sets
  • Learn about "solving differential equations" relevant to motion problems
USEFUL FOR

This discussion is beneficial for students studying classical mechanics, educators seeking teaching resources, and anyone looking to enhance their problem-solving skills in physics.

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Hi!

My classical mechanics course is proving to be quite a challenge. The textbook has not arrived yet, and my professor has already assigned a problem set. For example, one question is

A bead of mass m is constrained to move along a smooth conical spiral. The radius of the spiral ρ = a z and the angle along the spiral φ = - b z where ρ, φ and z are the standard cylindrical coordinates. Find the equation of motion of the bead.

I have no idea where to start because we don't do any examples of worked problems in class, only theory and proofs. Does someone know any good online resources that I can check out?

Thanks
 
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Essentially you can find z as a function of time. The rest are constraints. Write down the Lagrangian in terms of rho, phi and z, then substitute where applicable.
 

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