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!

Homework Help: Oscillations, calculating spring constant, amplitude, period

  1. May 17, 2014 #1
    1. The problem statement, all variables and given/known data
    A spring stretches 0.150m when a 0.300kg object is hung from it. The spring is then stretched an additional 0.100m from this equilibrium point and released.

    A) Calculate the spring constant (k)

    B) Calculate the amplitude, period of motion T, frequency f and angular velocity ω

    C) Find the maximum magnitude of the velocity, vmax and indicate the positions that it occurs on your sketch

    D) Find the maximum magnitude of the acceleration and indicate the positions that it occurs on your sketch.


    2. Relevant equations
    Hooke's law, F=mg=kx
    ω=sqrt(k/m)
    T=2∏/ω = 2∏ * sqrt(m/k)
    f=ω/2∏
    ω=sqrt(k/m)



    3. The attempt at a solution
    A) k=f/x=mg/x=(0.300)(9.80)/0.150 = 19.6 N/m

    B) amplitude=0.100
    T=0.777
    f=1.3
    ω=8.08

    C) 1/2 *mv^2 = 1/2 * kA^2
    v=A*sqrt(k/m)=0.808 m/s

    Is this value for C correct?

    D) a=kA/m = (19.6*0.100)/0.300 = 6.53 m/s^2
     
  2. jcsd
  3. May 17, 2014 #2
    All seems correct.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted