The amplitude of vibration for the sphere will be 29.48 nm.
<h3 /><h3>What is amplitude?</h3>
The distance between from the crest of a wave to the next crest is known as the amplitude.
The amplitude of the sphere is;
![\rm A= \frac{\delta_0}{[1-(\frac{\omega}{\omega_n}^2]} \\\\](https://tex.z-dn.net/?f=%5Crm%20A%3D%20%5Cfrac%7B%5Cdelta_0%7D%7B%5B1-%28%5Cfrac%7B%5Comega%7D%7B%5Comega_n%7D%5E2%5D%7D%20%5C%5C%5C%5C)
The stiffness of the load is;

The natural frequency is;

Put the obtained values in the amplitude formula;
![\rm A= \frac{0.015}{[1-(\frac{4 \pi}{17.93}^2]} \\\\ A= 0.02948 \\\\ A= 29.48 \ nm](https://tex.z-dn.net/?f=%5Crm%20A%3D%20%5Cfrac%7B0.015%7D%7B%5B1-%28%5Cfrac%7B4%20%5Cpi%7D%7B17.93%7D%5E2%5D%7D%20%5C%5C%5C%5C%20A%3D%200.02948%20%5C%5C%5C%5C%20A%3D%2029.48%20%5C%20nm)
Hence,the amplitude of vibration for the sphere will be 29.48 nm.
To learn more about the amplitude, refer:
brainly.com/question/8662436
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