Spring Silk
What is the spring constant?
A 2.0 g spider is dangling end of a thread of silk. You can bounce up in the spider down to the wire by tapping his feet with a pencil. You will soon discover that you can give the spider the largest amplitude of its low elastic cord if you type exactly once every second. What is the spring constant of the silk thread?
Amplitude is maximal when the freq. of the applied force is equal to the natural oscillation frequency (also called resonance). Thus pd osc pf = 1sec. => 2 * pi * sqrt (m / K) = 1 => 4 ^ 2 * pi * m / k = 1 or k = 4 * pi * 2 ^ m = 4 * 9.9 *. 002 = 0.079N / m
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