Question

Find the natural frequency of system shown in figure in rad/s

• A. 15.0 rad/s
• B. 22.36 rad/s
• C. 10 rad/s
• D. 12.9 rad/s

Answer 1

The correct option is C 10 rad/s

${\omega }_n=\sqrt{\frac{g}{\delta }}$

$\delta =2\times \frac{\text{mg}}{k_1}+\frac{\text{mg}}{k_2}$

${\omega }_n=\sqrt{\frac{1}{\frac{4m}{k_1}+\frac{m}{k_2}}}$

Bu putting values, we get

${\omega }_n=10\text{rad/s}$