A cylinder of mass \(m\) and mass moment of inertia \(J_{0}\) is free to roll without slipping but is restrained by two springs of stiffnesses \(k_{1}\) and \(k_{2}\), as shown in Fig. 2.103. Find its natural frequency of vibration. Also find the value of \(a\) that maximizes the natural frequency of vibration.

Transcribed Image Text:

- - k 000 m. Jo 000 R a FIGURE 2.103 Cylinder restrained by springs.