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A 5·g spider is dangling at the end of a silk thread. You can make the...

A 5·g spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on its feet with a pencil. You discover that you can give the spider the largest amplitude on the thread by tapping exactly once every second.

(a) What is the spring constant of the silk thread? N/m

(b) After further experimentation, you discover that if you tap at a rate of three times every two seconds, the amplitude is 20% of its maximum value. What is the damping constant for the thread? kg/s

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