engineering recuitment GATE ME 2023-24 Test Series Mechanical Vibrations Undamped Free Vibration Mass Pulley System
Consider the mass pulley system shown in the given figure.
1
The natural frequency of the system \({\omega _n} = \sqrt {\frac{{{k_1}{k_2}}}{{m\left( {4{k_1} + {k_2}} \right)}}} \)
2
The natural frequency of the system \({\omega _n} = \sqrt {\frac{{{k_1}{k_2}}}{{m\left( {{k_1} + {4k_2}} \right)}}} \)
3
The natural frequency of the system \({\omega _n} = \sqrt {\frac{g}{\delta }}\); Here \(\delta\) = deflection of the mass
4
The natural frequency of the system \({\omega _n} = \sqrt {\frac{g}{{2\delta }}} \); Here \(\delta\) = deflection of the mass