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Diving board oscillates with simple harmonic motion

  1. Nov 25, 2004 #1
    A diving board oscillates with simple harmonic motion of frequency 3.6 cycles per second. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there will not lose contact with the board during the oscillation?
  2. jcsd
  3. Nov 26, 2004 #2
    The maximum acceleration in simple harmonic motion occurs at the greatest displacement. Do you know the formula that links acceleration, displacement and frequency?

    The acceleration due to gravity is g (normally taken as 9.81 m s^-2) and as long as that is greater than or equal to the simple harmonic motion acceleration the pebble will stay in contact.

    So you just have to solve:

    formula for acceleration at displacement d, at 3.6 cycles/sec = 9.81

    Actually it probably would slide off the board before you reached the maximum displacement, but I think it's safe to assume that's what they want you to calculate.

    You know how Amplitude is connected to maximum displacement don't you?
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