engineering recuitment GATE ME 2023-24 Test Series Mechanical Vibrations Damped Free Vibration Logarithmic Decrement
The mass of a single degree damped vibrating system is 7.5 kg and it makes 24 free oscillations in 14 s when disturbed from its equilibrium position. The amplitude of vibration reduces to 0.25 of its initial value after five oscillations. Then the logarithmic decrement will be
1
\(\frac{4}{5}{\rm{lo}}{{\rm{g}}_{\rm{e}}}2\)
2
\(\frac{1}{5}{\rm{lo}}{{\rm{g}}_{\rm{e}}}6\)
3
\(\frac{2}{5}{\rm{lo}}{{\rm{g}}_{\rm{e}}}2\)
4
\(\frac{2}{5}{\rm{lo}}{{\rm{g}}_{\rm{e}}}6\)