Ask Me Help Desk

Ask Me Help Desk (https://www.askmehelpdesk.com/forum.php)
-   Mathematics (https://www.askmehelpdesk.com/forumdisplay.php?f=199)
-   -   expression (https://www.askmehelpdesk.com/showthread.php?t=683013)

  • Jul 15, 2012, 10:42 AM
    bolt001
    expression
    A force of 3 N stretches a spring by 1 m. A mass of 4 kg is attached to the spring. At t=0 the
    mass is pulled down a distance 1 m from equilibrium and released with a downward velocity of
    0.5 m/s. Assuming that damping is negligible, determine an expression for the position of the
    mass at time t. Find the circular frequency of the system and the amplitude, phase, and period of
    the motion.
  • Jul 15, 2012, 10:44 AM
    Unknown008
    So... what do you have so far?
  • Jul 15, 2012, 10:59 AM
    bolt001
    The basic differential equation for a mass, spring and damper is
    my''+cy'+kx=0
    but Since there is no damping, C= 0.
  • Jul 15, 2012, 11:00 AM
    Unknown008
    Any work with the given values?
  • Jul 15, 2012, 11:06 AM
    bolt001
    Honestly, not really. F=kx
    k=3y N/m.
    4y''+3y=0 solving the ODE

    I don't know if this is right?
  • Jul 15, 2012, 11:40 AM
    Unknown008
    Well, I really don't know how you do it in your syllabus, but that's what I would have done: Simple harmonic motion - Wikipedia, the free encyclopedia

    Or:

    Then proceed to find the things asked for.
  • Jul 15, 2012, 11:45 AM
    bolt001
    Oh OK thanks. I'm working on it now

  • All times are GMT -7. The time now is 05:29 AM.