A slender uniform rigid bar of mass ๐‘š is hinged at O and supported by two springs, with stiffnesses 3๐‘˜ and ๐‘˜

Q. A slender uniform rigid bar of mass ๐‘š is hinged at O and supported by two springs, with stiffnesses 3๐‘˜ and ๐‘˜, and a damper with damping coefficient ๐‘, as shown in the figure. For the system to be critically damped, the ratio ๐‘/โˆš๐‘˜๐‘š should be

Ans: 4โˆš7

Sol:

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