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    acvasagam's Avatar
    acvasagam Posts: 15, Reputation: 1
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    #1

    Jun 30, 2007, 11:15 PM
    oscillations - velocity of simple harmonic motion
    Sir / Madam
    I have adoubt in the folwing section of finding the velocity of a Simple Harmonic Motion (SHM)... I have encircled the place of doubt


    I have attached a picture file

    my doubt is how to get a w cos wt from d (a sin wt)/dt

    where w=omega
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    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Jul 1, 2007, 12:38 AM
    Well, that's how the differentiation of trig functions works. I suggest you read up about it.

    Differentiation of Trig Functions
    acvasagam's Avatar
    acvasagam Posts: 15, Reputation: 1
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    #3

    Jul 1, 2007, 03:43 AM
    thanks for the tip...
    but I still don't get it

    d (a sinwt)/dt =a coswt but above it states d (a sinwt)/dt =a w coswt
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Jul 1, 2007, 06:43 AM
    Yes you take the out because that's a constant, whereas you don't take t out because that's the variable of differentiation.
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