Find the equation of motion and the natural frequency of the systems shown in Figure having radius r.
1
\(\rm\frac{1}{2 \pi} \sqrt{\frac{sr^2}{\frac{I_0}{r_2}+m_0 r^2+2mr^2}}\)
2
\(\rm\frac{1}{2 \pi} \sqrt{\frac{sr^2}{I_0+m_0 r^2+4 m r^2}}\)
3
\(\rm\frac{1}{2 \pi} \sqrt{\frac{sr^2}{\frac{I_0}{r_2}+m_0 r^2+4mr^2}}\)
4
\(\rm\frac{1}{2 \pi} \sqrt{\frac{sr^2}{I_0+m_0 r^2+2mr^2}}\)
5
Question Not Attempted