Answer 3 Given a darmped springmass system with m 12 kg and

3. Given a darmped spring/mass system with m = 12 kg and b = 12 N. s/m, find the following: a. The spring constant, k, that would result in a critically damped system b. The position as a function of time, yt), if the mass in this critically damped system were slowly pulled to position y = 4 m and then pushed in the negative y direction at 10mls

Solution

a.Given system is critically damped iff b²=4mk

(12)²=4(12)(k)

48k=144

k=144/48=3

therefore k=3 N/m