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!

X(t) of a diatomic molecule with given v_0

  1. Jul 4, 2012 #1
    1. The problem statement, all variables and given/known data
    Two identical carts (of mass m) are free to move on a frictionless, straight horizontal track. The masses are connected by a spring of constant k and un-stretched length [itex]l_{0}[/itex]. Initially the masses are a distance [itex]l_{0}[/itex] apart with the mass on the left having a speed [itex]v_{0}[/itex] to the right and the mass on the right at rest. Find the position of mass on the left as a function of time.

    2. Relevant equations



    3. The attempt at a solution


    remembering [itex]\ddot{q}=\ddot{x_{2}}-\ddot{x_{1}}[/itex]


    [itex]q(t)=c_{1}e^{\omega t}+c_{2}e^{-\omega t}[/itex]

    Just wondering if I'm on the right track? If so I'll do the initial conditions and then solve for [itex]x_{1}(t)[/itex]

    Thanks for the help!
  2. jcsd
  3. Jul 4, 2012 #2
    Hi AbigailM! :smile:

    It would help if you state what x1 and x2 are... :tongue2:
  4. Jul 4, 2012 #3
    :eek: oops, x1 is the position of cart 1 and x2 is the position of cart 2.
  5. Jul 4, 2012 #4
    What have you chosen as the origin? I believe q is the elongation/compression of the spring? Is cart 1 the left cart, and cart 2 the right?

    PS : Its good to state all assumptions before solving the problem :wink:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - diatomic molecule given Date
Degrees of freedom of a diatomic molecule Mar 16, 2018
Diatomic Hydrogen Molecule Nov 16, 2017
Diatomic molecule Hamiltonian Apr 27, 2012
Diatomic molecule vibrational frequency Apr 24, 2011
Vibrational frequency of diatomic molecule Feb 14, 2011