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!

Energy and Simple Harmonic Motion - Part II.

  1. Nov 13, 2006 #1
    A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall whle the other end is connected to a movable object. The spring and object are compressed by 0.064 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.5 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.037 m relative to its unstrained length?

    ... I tried using KEo + PEo + SPEo = KEf + PEf + SPEf ... but, I can't get anywhere ...

    ... I found out that the frequency is 18.05hz and it's relative time is .056 seconds - and that's where I'm stuck!
     
  2. jcsd
  3. Nov 13, 2006 #2

    Hootenanny

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Use Hooke's law and conservation of energy.
     
  4. Nov 13, 2006 #3
    Do I set them equal to each other??

    ... I don't understand the .64 meter compression part ... does that equal "X" in Hooke's Law and in ????
     
  5. Nov 13, 2006 #4
    Hint -- Can you find the value of the spring constant?

    BTW -- you are right in that the compression WILL be X in hooke's Law.
     
  6. Nov 14, 2006 #5
    I figured it out ...

    A = 0.064m (given in the problem)
    omega = 11.5 (rad/s) - given in the problem
    x = 0.037m (given in the problem)


    V(max) = A(omega)
    V(max) = 0.064(11.5)
    V(max) = .736(m/s)

    V = V(max) * [the square root of the quantity of (1- {[x^2]/[A^2]})]
    V = .736 * [the square root of the quantity of (1- {[0.037^2]/[0.064^2]})]

    V = 0.601 (m/s)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Energy and Simple Harmonic Motion - Part II.
Loading...