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Use the Dimension tool in your sketch to specify the exact size of your sketch entities.
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Specify the material and change the boundary conditions so there is a fixed support where your object would be touching the ground.
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In "Plots" click on the eigenfrequency plot. The point with the lowest frequency is the base frequency.
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You can use Audacity to find the frequencies with a spectrogram (~85Hz and ~460Hz below), or try and match the pitch with your ear using a frequency generator.
This frequency graph is generated from flicking the cup. You can see a peak at about 1100 Hz, the base frequency of the cup.