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Previous year question hub

Vibrations - Applied Mechanics and Design - Mechanical Engineering Previous Year Questions

Practice Vibrations - Applied Mechanics and Design - Mechanical Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

28Papers
18Years
54Questions
1Topics

Vibrations question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 29 53.7%
Easy 24 44.4%
Hard 1 1.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 37 68.5%
Numerical Answer Type (NAT) 16 29.6%
Fill in the blanks 1 1.9%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
54 Qs

Most asked topics

Top topics across the included previous year papers.

Applied Mechanics and Design
54 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vibrations
54 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Mechanical Engineering (ME) 2026
2 Qs
Mechanical Engineering (ME) 2025
2 Qs
Mechanical Engineering (ME) 2024
2 Qs
Mechanical Engineering (ME) 2023
1 Qs
Mechanical Engineering (ME) 2021 [Session 1]
3 Qs
Mechanical Engineering (ME) 2020 [Session 1]
3 Qs
Mechanical Engineering (ME) 2020 [Session 2]
2 Qs
Mechanical Engineering (ME) 2019 [Session 1]
2 Qs
Mechanical Engineering (ME) 2019 [Session 2]
1 Qs
Mechanical Engineering (ME) 2018 [Session 1]
2 Qs
Mechanical Engineering (ME) 2018 [Session 2]
1 Qs
Mechanical Engineering (ME) 2017 [Session 2]
2 Qs
Mechanical Engineering (ME) 2016 [Session 1]
2 Qs
Mechanical Engineering (ME) 2016 [Session 2]
1 Qs
Mechanical Engineering (ME) 2015 [Session 2]
1 Qs
Mechanical Engineering (ME) 2014 [Session 1]
3 Qs
Mechanical Engineering (ME) 2014 [Session 3]
3 Qs
Mechanical Engineering (ME) 2014 [Session 2]
1 Qs
Mechanical Engineering (ME) 2014 [Session 4]
1 Qs
Mechanical Engineering (ME) 2013 [Session 1]
2 Qs
Mechanical Engineering (ME) 2013 [Session 2]
2 Qs
Mechanical Engineering (ME) 2013 [Session 3]
2 Qs
Mechanical Engineering (ME) 2013 [Session 4]
2 Qs
Mechanical Engineering (ME) 2011
2 Qs
Mechanical Engineering (ME) 2010
2 Qs
Mechanical Engineering (ME) 2009
3 Qs
Mechanical Engineering (ME) 2008
1 Qs
Mechanical Engineering (ME) 2007
3 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mechanical Engineering (ME) 20262026
2 questions in this view		2026
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20252025
2 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20242024
2 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20232023
1 questions in this view		2023
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2021 [Session 1]2021
3 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 1]2020
3 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 2]2020
2 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2019 [Session 1]2019
2 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2019 [Session 2]2019
1 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 1]2018
2 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 2]2018
1 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2017 [Session 2]2017
2 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 1]2016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 2]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2015 [Session 2]2015
1 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 1]2014
3 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 2]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 3]2014
3 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 4]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 1]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 2]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 3]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 4]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20112011
2 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20102010
2 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20092009
3 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20082008
1 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20072007
3 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Vibrations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2007

For an underdamped harmonic oscillator, resonance

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2
2007 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2007

The natural frequency of the system shown below is

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3
2007 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2007
The equation of motion of a harmonic oscillator is given by \frac{d^2x}{dt^2} + 2ζω_n\frac{dx}{dt} + ω_n^2x = 0, and the initial conditions at t = 0 are x(0) = X, \frac{dx}{dt}(0) = 0. The amplitude of x(t) after n complete cycles is
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4
2008 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2008
A uniform rigid rod of mass \(m = 1\) kg and length \(L = 1\) m is hinged at its centre and laterally supported at one end by a spring of spring constant \(k = 300\) N/m. The natural frequency \(\omega_n\) in rad/s is
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5
2009 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2009

The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of 1.8 mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is

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6
2009 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2009

An automotive engine weighing 240 kg is supported on four springs with linear characteristics. Each of the front two springs have a stiffness of 16 MN/m while the stiffness of each rear spring is 32 MN/m. The engine speed (in rpm), at which resonance is likely to occur, is

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7
2009 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2009
A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (\(d\)) and damped natural frequency (\(f_n\)), respectively, are
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8
2010 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2010
The natural frequency of a spring-mass system on earth is \( \omega_n \). The natural frequency of this system on the moon ( \( g_{moon} = g_{earth}/6 \) ) is
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9
2010 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2010
A mass \( m \) attached to a spring is subjected to a harmonic force as shown in figure. The amplitude of the forced motion is observed to be 50 mm. The value of \( m \) (in kg) is
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10
2011 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2011
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
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11
2011 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2011

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

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12
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 1]
If two nodes are observed at a frequency of 1800 \( rpm \) during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in \( rpm \) is
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13
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 1]
A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is subjected to an impulse force of magnitude 5 kN for 10-4 seconds. The amplitude in mm of the resulting free vibration is
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14
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 2]
If two nodes are observed at a frequency of \(1800\, rpm\) during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in \(rpm\) is
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15
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 3]
If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is
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16
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 3]
A single degree of freedom system having mass \(1~kg\) and stiffness \(10~kN/m\) initially at rest is subjected to an impulse force of magnitude \(5~kN\) for \(10^{-4}~seconds\). The amplitude in \(mm\) of the resulting free vibration is
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17
2013 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2013 [Session 4]
A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is subjected to an impulse force of magnitude 5 kN for 10^{-4} seconds. The amplitude in mm of the resulting free vibration is
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18
2014 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2014 [Session 1]
Critical damping is the
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19
2014 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2014 [Session 1]
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam, with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in N.m²) of the beam is ______
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20
2014 · Mechanical Engineering · Applied Mechanics and Design · Vibrations
Mechanical Engineering (ME) 2014 [Session 1]
A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L/3, CB = 2L/3. Ends A and B are supported by springs of spring constant k. The natural frequency of the system is given by

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