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ESE ME: Theory of Machines & Vibrations Champion Quiz 4

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Question 1

Figure given below shown a spring-mass system where the mass m is fixed in between two springs of stiffness and . What is the equivalent spring stiffness?

Question 2

In case of free vibration with viscous damping, the damping force is proportional to

Question 3

The equation of free vibration of a system is . Its natural frequency would be

Question 4

Assertion (A) : In damped vibration there is decrease in amplitude of vibration during each successive cycle.
Reason (R): Damping force is proportional to the amplitude.

Question 5

Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is

Question 6

The natural frequency of an undamped vibrating system is 100 rad/s. A damper with a damping factor of 0.8 is introduced into the system. The frequency of vibration of the damped system, in rad/s, is

Question 7

A mass of 1 kg is attached to two identical springs each with stiffness k = 20 kN/m as shown in the figure. Under frictionless condition, the natural frequency of the system in Hz is close to
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image084.jpg

Question 8

A disc of mass m is attached to a spring of stiffness k as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image110.jpg

Question 9

The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is

Question 10

Which of the following statements axe TRUE for damped vibrations?
P. For a system having critical damping, the value of damping ratio is unity and system does not undergo a vibratory motion
Q. Logarithmic decrement method is used to determine the amount of damping in a physical system.
R. In case of damping due to dry friction between moving surfaces resisting force of constant magnitude acts opposite to the relative motion.
S. For the case of viscous damping, drag force is directly proportional to the square of relative velocity:
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Aug 18ESE & GATE ME