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q asked in Science & MathematicsPhysics · 6 years ago

Physics simple harmonic motion question?

A 27kg child sits on a 1.8-m-long rope swing. You are going to give the child a small, brief push at regular intervals.

If you want to increase the amplitude of her motion as quickly as possible, how much time should you wait between pushes?

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  • Old Science Guy
    Lv 7
    6 years ago
    Favorite Answer

    you want to apply the pushes in sync with the natural frequency and period of the swing

    T = 2 pi sqrt(l/g) = 2 pi sqrt(1.8/9.81) = 2.7 s to 2 sig figs

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  • Steve
    Lv 7
    6 years ago

    You must push at the natural period of the pendulum:

    T = 2π√[L/g] = 2.7 sec

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