SSC-JE ME || Theory of Machines 9

A free damped vibration system with viscous damping consists of a mass m, spring stiffness k and a damper with a damping coefficient which can be varied. The natural frequency of the system is. For the system to be critically damped, the damping coefficient is ____.

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?

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

The static deflection of a shaft under a flywheel is 4 mm. Taking g=10 m/s², What is the critical speed in rad/s?

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.

Which one of the following causes the whirling of shafts?

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

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.