question archive A vertically hanging spider web vibrates when an insect gets caught in it

A vertically hanging spider web vibrates when an insect gets caught in it

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A vertically hanging spider web vibrates when an insect gets caught in it. Treat the spider web like a horizontal spring and answer the following questions:

a) Would a rapidly vibrating web indicate a large or small insect? explain reasoning.

b) If a 15 mg insect causes the web to vibrate at 50 Hz what is the spring constant of the web (assume the web has negligible mass)?

c) If the insect in (b) flew into the web with a speed of 2.5 m/s, how big of a deflection would the web make from its equilibrium position? 

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