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    A particle P moves on the x-axis with simple harmonic motion about the origin O as
    centre. When P is a distance 0.04 m from O, its speed is 0.2 m s–1 and the magnitude of
    its acceleration is 1 m s–2.
    (a) Find the period of the motion.

    The amplitude of the motion is a metres.
    Find
    (b) the value of a,

    (c) the total time, within one complete oscillation, for which the distance OP is greater than 1/2a metres.
    I dont understand what theyre exactly asking me to find here i.e the wording ? can anyone explain ..thanks.
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    (Original post by rbnphlp)
    (c) the total time, within one complete oscillation, for which the distance OP is greater than 1/2a metres.
    I dont understand what theyre exactly asking me to find here i.e the wording ? can anyone explain ..thanks.
    Consider one complete oscillation, say from -a through 0 to a, and then back through 0 and then to -a.

    Then they are asking for the length of time, withing that complete oscillation, that the particle is greater than 1/2a from the origin. I.e. how long is it between -a and -1/2a plus how long is it between 1/2a and a from the origin.

    Symmetry will reduce your calculations.

    Hope that made sense.
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    (Original post by ghostwalker)
    Consider one complete oscillation, say from -a through 0 to a, and then back through 0 and then to -a.

    Then they are asking for the length of time, withing that complete oscillation, that the particle is greater than 1/2a from the origin. I.e. how long is it between -a and -1/2a plus how long is it between 1/2a and a from the origin.

    Symmetry will reduce your calculations.

    Hope that made sense.
    thankyou , makes sense
 
 
 
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