1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Motion of a particle on a saddle surface under gravity

  1. Feb 24, 2010 #1
    I have encountered a problem which needed to solve the below differential equation. The question is to solve the motion of a point mass on the xy=z surface using the Lagrangian. The exact question is as follow: A partical of mass m is constrainted to move under gravity with no friction on the surface xy=z. What is the trajectory of the particle if it starts from rest at (x,y,z) = (1, -1, -1) with the z-axis vertical.

    And I have solved the following equation of motions:
    [tex]x\ddot{x}=y\ddot{y}=C[/tex], where c is a constant

  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted