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itryphysics
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Homework Statement
A diving board oscillates with simple harmonic mothion of frequency 3.0 cycles per second.?
What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there to not lose contact with the board during oscillation.
Homework Equations
The Attempt at a Solution
Since the intial velocity at the bottom of a cycle is zero,
Distance = 1/2 a * t^2 where i got t by determining that quarter cycle takes
1/(4*3.0) sec. Since the accelleration exceeds that of gravity, the pebble will jump off the board. So a = 9.8 m/sec^2
Distance = 1/2 * 9.8 * (1/(4*3.0))^2
But this is the motion from the bottom to the center so the Amplitude will be twice this.
I get Amplitude = 9.8 * (1/(4*3.0))^2 = .068 meters but this answer is not correct