1. Not finding help here? Sign up for a free 30min 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!

Motion described by differential equations

  1. Nov 7, 2015 #1
    1. The problem statement, all variables and given/known data
    Text from a classical mechanics textbook ( uploaded picture ) shows 2 diff equation describing the motion graphically presented in the uploaded picture. How were these set up?

    2. Relevant equations


    3. The attempt at a solution
    I dont have a slightest clue as how are these equations derived in the first place.
     

    Attached Files:

  2. jcsd
  3. Nov 7, 2015 #2

    Student100

    User Avatar
    Education Advisor
    Gold Member

    They can be derived from the constraints on the system.

    If it's moving on a plane, z is constant.
    It's perpendicular to the plane.
    It remains perpendicular to the plane.
    And we can assume it's rolling without slipping.

    You can re-derive everything from those four constraints.
     
  4. Nov 7, 2015 #3
    So how exactly did they get to those two diff equations? The book just wrote them down. And its the first time im hearing about constraints, read it a while ago though...
     
  5. Nov 7, 2015 #4

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Please type out the equations; posting sideways-oriented photos will not bring you responses from most helpers.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Motion described by differential equations
Loading...