The model of a certain mass-spring-damper system is:

10x'' + cx' + 20x = f(t)

How large must the damping constant c be so that the maximum steady-state amplitude of x is no greater than 3, if the input is f(t) = 11sin(wt), for an arbitrary value of w?

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.