# Earthquake causing objects to leave the ground

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An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.476 Hz (typical of earthquakes, which actually include a mixture of frequencies), what minimum amplitude will cause objects to leave contact with the ground?

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#### Solution Preview

The height, h, of the surface is given as:

h = A Sin[omega t - k dot x + constant]

Here A is the amplitude, omega is 2 pi times the frequency k is the wave vector and x is the position vector.

The wave vector k has a magnitude of 2 pi divided by the wavelength and points in the direction ...

#### Solution Summary

The expert examines an earthquake causing objects to leave the grounds.

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