Simple Harmonic Motion

  1. A block of mass 0.5kg moving on a horizontal frictionless surface at 2.0 m/s collides with and sticks to a massless pan attached to the end of a horizontal ideal spring whose spring constan is 32 N/m.
    a) Determine the function for x(t), the displacement from equilibrium position as a function of time.
    I got this to be x(t) = .25sin(8t)

    b) What is the period T, of the subsequent oscillations?
    I got the period to be .785 sec

    c) What is the kinetic energy of the mass 4.0 sec after it collides with the spring?
    I got this to be .997j

    d) What force is exerted by the spring on the block at t=1.2 sec? Which way is the block moving? Explain
    I got the force to be -1.334N

    ARE MY ANSWERS RIGHT, I ALSO SAID THAT Xo=0m when using my equation.
     
  2. jcsd
  3. Hootenanny

    Hootenanny 9,681
    Staff Emeritus
    Science Advisor
    Gold Member

    You have to show your working, it is much easier to check for systematic errors, you can't expect someone to work through your problems from scratch.
     
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