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5 December, 22:46

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. what is the maximum acceleration of the ball?

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  1. 5 December, 22:55
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    X position

    v velocity

    a acceleration

    A amplitude

    t time

    ω angular frequency

    θ phase angle

    x = A cos (ωt + θ)

    v = - ωA sin (ωt + θ)

    a = - ω²x

    a is maximum when |x| is maximum

    x is maximum when v = 0

    v = 0: t = 0, θ = 0

    x = A

    a = |-ω²A|
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