GATE 2023 || Theory of Machines & Vibrations || Quiz 30

A system in which amplitude of vibration decreases exponentially over the time, such system is an example of________.

A vertical cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m². Calculate the natural longitudinal frequency in Hz.

Calculate critical damping coefficient ________ (in N-s/m) from the following data: mass = 10 kg Natural frequency: ω_n = 40 rad/s.

What is the ratio of applied force frequency to undamped natural frequency is undamped foundation transmits 1/3^rd of applied force.

A solid sphere of mass m and radius R is connected by a spring of modulus k as shown in figure. If it is free to roll on the rough horizontal surface without slipping. What will be the natural frequency?

In vibration isolation if ω/ω_n is less than  then the transmissibility will be