A slender uniform rigid bar of mass 𝑚 is hinged at O and supported by two springs, with stiffnesses 3𝑘 and 𝑘

A slender uniform rigid bar of mass 𝑚 is hinged at O and supported by two springs, with stiffnesses 3𝑘 and 𝑘

Q. A slender uniform rigid bar of mass 𝑚 is hinged at O and supported by two springs, with stiffnesses 3𝑘 and 𝑘, and a damper with damping coefficient 𝑐, as shown in the figure. For the system to be critically damped, the ratio 𝑐/√𝑘𝑚 should be

Ans: 4√7

Sol:

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