engineering recuitment GATE ME 2023-24 Test Series Mechanical Vibrations Damped Free Vibration Logarithmic Decrement
If the mass in a damped vibration system would settle to \(\frac{1}{70}^{th}\) of its initial deflection then what will be the time of the free damped vibration and the number of oscillations completed to this value of the deflection? The magnitude of the mass, damping ratio, and stiffness of the spring are given as 100 kg, 0.22, and 50 N/mm respectively.
1
0.8636 s
2
0.288 s
3
3 oscillations
4
7 oscillations