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Test: Linear Vibration Analysis - 3 - Mechanical Engineering MCQ


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20 Questions MCQ Test - Test: Linear Vibration Analysis - 3

Test: Linear Vibration Analysis - 3 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Linear Vibration Analysis - 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Linear Vibration Analysis - 3 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Linear Vibration Analysis - 3 below.
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Test: Linear Vibration Analysis - 3 - Question 1

The ratio of the actual damping coefficient to the critical damping coefficient is called

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 1

Test: Linear Vibration Analysis - 3 - Question 2

The expression for logarithmic decrement is

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Test: Linear Vibration Analysis - 3 - Question 3

If the damping factor for a vibrating system is unity then the system is

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It means that system is critically damped and C = Cc

Test: Linear Vibration Analysis - 3 - Question 4

In vibration isolation system, if  the for all values of damping factor, the transmissibility will be

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 4

In vibration isolation system

Then transmissibility ratio
∈ > 1
This means that the force transmitted to the foundation through elastic support is greater than the force applied.

Test: Linear Vibration Analysis - 3 - Question 5

The ratio of maximum displacement of forced vibration to the deflection due to the static force is known as

Test: Linear Vibration Analysis - 3 - Question 6

The normal speed of rotation of a shaft is chosen to be

Test: Linear Vibration Analysis - 3 - Question 7

In a multi-rotor system of torsional vibration maximum number of nodes that can occur is

Test: Linear Vibration Analysis - 3 - Question 8

A shaft carrying three rotors at ends will have following number of nodes

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 8

No. of nodes = No. of rotors - 1
 = 3 - 1 = 2

Test: Linear Vibration Analysis - 3 - Question 9

During torsional vibration of a shaft, the node is characterized by the

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 9

Node of a system is a point where amplitude of vibration is zero.

Test: Linear Vibration Analysis - 3 - Question 10

A cantilever beam of negligible weight is carrying a mass M at its free end, and is also resting on an elastic support of stiffness k1, as shown in the figure below.
If k2 represents the bending stiffness of the beam, the natural frequency (rad/s) of the system is

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 10

Natural Frequency


where k = k1 + k2

Test: Linear Vibration Analysis - 3 - Question 11

A mass of 1 kg is suspended by means of 3 springs as shown in figure. The spring constant K1, K2 and K3 are respectively 1 kN/m, 3 kN/m and 2 kN/m. The natural frequency of the system is approximately

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 11


Combined stiffness

Test: Linear Vibration Analysis - 3 - Question 12

The figure shows a critically damped spring-mass system undergoing single degree of freedom vibrations. If m = 5 kg and k = 20 N/m, the value of viscous damping coefficient is

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Test: Linear Vibration Analysis - 3 - Question 13

Two spring of equal length but having stiffness of 10 N/mm and 15 N/mm support a mass of 2 tonnes in series. Find the frequency of vibration

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In series

Test: Linear Vibration Analysis - 3 - Question 14

Three spring of stiffness k1, k2 and k3 are connected in series. The stiffness of a single spring equivalent to these three springs would be equal to

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 14

In series combination of springs


Test: Linear Vibration Analysis - 3 - Question 15

Natural frequency of undamped free vibration is 100 rps and damping is provided with damping factor is 0.8 then what is the frequency of damped vibration

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Test: Linear Vibration Analysis - 3 - Question 16

An over-damped system

Test: Linear Vibration Analysis - 3 - Question 17

Two identical springs of constant K are connected in series and parallel as shown in the figure. A mass m is suspended from them. The ratio of their frequencies of oscillations will be

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 17


For first system Keq = K/2

For second system Keq = 2K

Test: Linear Vibration Analysis - 3 - Question 18

The given figure show vibrations of a mass ‘M’ isolated by means of springs and a damper. If an external force ‘F (= A sin ωt) acts on the mass and the damper is not used, then

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 18

Test: Linear Vibration Analysis - 3 - Question 19

A spring-mass suspension has a natural frequency of 40 rad/s. What is the damping ratio required if it is desired to reduce this frequency to 20 rad/s by adding a damper to it?

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Test: Linear Vibration Analysis - 3 - Question 20

A vibrating machine is isolated from the floor using springs, if the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation is

Detailed Solution for Test: Linear Vibration Analysis - 3 - Question 20

Given   r  = 0.5
Due to isolation ξ = 0
Transmissibility ratio, 

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