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Chapter 16 - 16.5

5. The magnitude of the maximum acceleration is given by a m = ω 2 x m ,where ω is the angular frequency

and x m is th e amplitude. The angular frequency for which the maximum acceleration is g is given by

f =

2 π =

2 π

x m =

2 π

9 . 8m / s 2

1 . 0

10 − 6 m = 500 Hz .

For frequencies greater than 500 Hz, the acceleration exceeds g for some part of the motion.

ω = g/x m , and the corresponding frequency is given by