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    Hi, I can't seem to work out this problem/ what formulas to use:

    An object was suspended from the end of vertical spring and set into ocsillating motion along a vertical line with acceleration (a) at a displacement (x) was given by a=-360x.
    Calculate:

    i) frequency

    ii) time period of the oscillations.


    The previous question, which it was related had a time period of 0.325sec ( 20 oscillations in 6.5 sec) and freq of 3.08Hz. [ checked with book answers]. They say the mass is changed in this question though.


    Thank you!
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    (Original post by igloo1)
    Hi, I can't seem to work out this problem/ what formulas to use:

    An object was suspended from the end of vertical spring and set into ocsillating motion along a vertical line with acceleration (a) at a displacement (x) was given by a=-360x.
    Calculate:

    i) frequency

    ii) time period of the oscillations.


    The previous question, which it was related had a time period of 0.325sec ( 20 oscillations in 6.5 sec) and freq of 3.08Hz. [ checked with book answers]. They say the mass is changed in this question though.


    Thank you!
    You need to find ω to get the frequency.
    There is a formula that relates ω2 to the acceleration of the mass and its displacement from equilibrium. (It's the defining formula for SHM)
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    (Original post by Stonebridge)
    You need to find ω to get the frequency.
    There is a formula that relates ω2 to the acceleration of the mass and its displacement from equilibrium. (It's the defining formula for SHM)
    so w=2pi(f) and a=-w^2 x.
    i would work out f, but I dont know w? Sorry, I'm still a bit confused..
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    (Original post by igloo1)
    so w=2pi(f) and a=-w^2 x.
    i would work out f, but I dont know w? Sorry, I'm still a bit confused..
    you know
    a = -w2x
    that's correct

    and you are given in the question that
    a = -360x

    So what is w?
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    (Original post by Stonebridge)
    you know
    a = -w2x
    that's correct

    and you are given in the question that
    a = -360x

    So what is w?
    -6x10^0.5?
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    (Original post by igloo1)
    -6x10^0.5?

    If
    a = -(w2)x, and
    a = -(360)x

    The two terms in the brackets in the two equations must be equal.

    So what is w2 equal to?
    Hence what is w equal to?
    Hence what is f?
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    (Original post by Stonebridge)
    If
    a = -(w2)x, and
    a = -(360)x

    The two terms in the brackets in the two equations must be equal.

    So what is w2 equal to?
    Hence what is w equal to?
    Hence what is f?
    ohh I see. Thank you!
 
 
 
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