List of top Mechanical Engineering Questions on Vibrations

The equation of free vibration of a system is \( X + 36\pi^2 X = 0 \). Its natural frequency is:
When there is a reduction in amplitude over every cycle of vibration, then the body is said to have
Critical damping is a function of
The undamped natural frequency of system is 80 rad/sec. A damper is provided in the system having damping factor 0.7. The damped natural frequency of the system in rad/sec will be:
A solid disc of mass \( m \), radius \( r \) is resting on a horizontal smooth surface. A spring of stiffness \( k \) is connected to the disc at distance \( e \) directly above the centre of the disc. Another end of the spring is connected to the vertical wall. For small angular displacement of the disc, the natural frequency of the system in radians per second will be:
A free damped vibrating system consists of a mass of 200 kg and a spring of stiffness 40 N/mm. If the damping factor is 0.22, the time in which the system would settle down 10$^\text{1/50}$th of its initial deflection will be:
During the design of a gear, if the higher-pressure angle is chosen, then the gear has:
In the analysis of torsional vibrations of the shaft, the node of the shaft is characterized by the: