Homework Help: Diving board oscillates with simple harmonic motion

1. Nov 25, 2004

physicsss

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. Nov 26, 2004

ceptimus

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?