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!

Classical Dynamics Any help would be greatly appreciated

  1. Nov 10, 2013 #1
    1. The problem statement, all variables and given/known data

    A mass m1 is attached to a fixed spring on a horizontal surface and attached across a pulley (ignore the pulley mass) to another freely hanging m2. Write the Lagrangian in terms of a single parameter. Find the equation of motion and determine the frequency of oscillation.

    2. Relevant equations

    L = T-U

    3. The attempt at a solution
     
  2. jcsd
  3. Nov 10, 2013 #2

    hilbert2

    User Avatar
    Science Advisor
    Gold Member

    The potential energy of the system comes from the stretching of the spring and from the gravitational potential energy of the hanging object. You should be able to write these contributions in terms of one coordinate ##x## which gives the spring's extention relative to equilibrium. The velocities of the objects are equal, as the objects are connected to each other. Therefore the kinetic energy is just ##\frac{1}{2}(m_{1}+m_{2})v^{2}##, where ##v=\dot{x_ {1}}=\dot{x_{2}}## is the velocity of the objects.
     
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: Classical Dynamics Any help would be greatly appreciated
Loading...