Acomputer to be used in a satellite must be able to withstand accelerations of up to 24 times the acceleration due to gravity. in a test to see whether it meets this specification, the computer is bolted to a frame that is vibrated back and forth in simple harmonic motion at a frequency of 7.21 hz. what is the minimum amplitude of vibration that must be used in this test?

The required amplitud is 0.11cm

Explanation:

To solve this problem it is necessary to apply the concepts related to simple harmonic motion, where displacement is given by

Where,

A = Amplitude

f = Frequency

t = time

If we derivate the expression we can obtain the Acceleration, there

x would be A for the minimum amplite of vibration, then

Replacing with out values,

Therefore the required amplitud is 0.1146cm

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