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    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
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    #1

    Jul 15, 2012, 10:42 AM
    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.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 15, 2012, 10:44 AM
    So... what do you have so far?
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
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    #3

    Jul 15, 2012, 10:59 AM
    The basic differential equation for a mass, spring and damper is
    my''+cy'+kx=0
    but Since there is no damping, C= 0.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Jul 15, 2012, 11:00 AM
    Any work with the given values?
    bolt001's Avatar
    bolt001 Posts: 5, Reputation: 1
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    #5

    Jul 15, 2012, 11:06 AM
    Honestly, not really. F=kx
    k=3y N/m.
    4y''+3y=0 solving the ODE

    I don't know if this is right?
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    Unknown008 Posts: 8,076, Reputation: 723
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    #6

    Jul 15, 2012, 11:40 AM
    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.
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    bolt001 Posts: 5, Reputation: 1
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    #7

    Jul 15, 2012, 11:45 AM
    Oh OK thanks. I'm working on it now

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