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    authe's Avatar
    authe Posts: 1, Reputation: 1
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    #1

    Oct 15, 2007, 09:29 AM
    Simple Harmonic Motion
    1. A light spiral spring is loaded with a mass of 0.05kg and it extends by 0.10m. Determine: the period of small vertical oscillation if the value of g is 10m/s-2
    kesavan's Avatar
    kesavan Posts: 118, Reputation: 1
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    #2

    Oct 18, 2007, 09:13 AM
    This is a simple question.
    Try yourself first..
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Oct 18, 2007, 09:30 AM
    You can determine the spring constant k from the data you're given. Then set up the equation of motion for a spring & mass system, using F = ma, where F = -kx, and a = d^2x/dt^2. Plug x = A*sin(wt) into the differential equation, and solve for w. That will give you the frequency of oscillation w in radians/sec , so convert that to the period of oscillation in terms of seconds.
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