A rolling disc of radius ' \(r\) ' and mass ' \(m\) ' is connected to one end of a linear spring of stiffness ' \(k\) ', as shown in the below Fig.71. The natural frequency of oscillation is given by which one of the following?

(a) \(\omega=\sqrt{\frac{2}{3} \frac{k}{m}}\)

(b) \(\omega=\sqrt{\frac{k}{m}}\)

(c) \(\omega=\sqrt{\frac{k}{2 m}}\)

(d) \(\omega=\sqrt{\frac{2 k}{m}}\).

Transcribed Image Text:

E k www Fig.71