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Previous year question hub

Theory of Machines - Applied Mechanics and Design - Mechanical Engineering Previous Year Questions

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

27Papers
16Years
68Questions
1Topics

Theory of Machines question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Theory of Machines. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 48 70.6%
Easy 17 25%
Hard 3 4.4%

Question type distribution

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

MCQ 47 69.1%
Numerical Answer Type (NAT) 18 26.5%
Fill in the blanks 2 2.9%
MSQ 1 1.5%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
68 Qs

Most asked topics

Top topics across the included previous year papers.

Applied Mechanics and Design
68 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Theory of Machines
68 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
3 Qs
Mechanical Engineering (ME) 2021 [Session 1]
3 Qs
Mechanical Engineering (ME) 2020 [Session 2]
4 Qs
Mechanical Engineering (ME) 2020 [Session 1]
3 Qs
Mechanical Engineering (ME) 2019 [Session 1]
3 Qs
Mechanical Engineering (ME) 2019 [Session 2]
2 Qs
Mechanical Engineering (ME) 2018 [Session 1]
4 Qs
Mechanical Engineering (ME) 2018 [Session 2]
2 Qs
Mechanical Engineering (ME) 2016 [Session 2]
2 Qs
Mechanical Engineering (ME) 2016 [Session 3]
2 Qs
Mechanical Engineering (ME) 2016 [Session 1]
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]
3 Qs
Mechanical Engineering (ME) 2013 [Session 4]
3 Qs
Mechanical Engineering (ME) 2013 [Session 2]
2 Qs
Mechanical Engineering (ME) 2013 [Session 3]
2 Qs
Mechanical Engineering (ME) 2011
2 Qs
Mechanical Engineering (ME) 2010
4 Qs
Mechanical Engineering (ME) 2009
3 Qs
Mechanical Engineering (ME) 2008
2 Qs
Mechanical Engineering (ME) 2007
5 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Mechanical Engineering (ME) 202620262View paper
Mechanical Engineering (ME) 202520252View paper
Mechanical Engineering (ME) 202420243View paper
Mechanical Engineering (ME) 2021 [Session 1]20213View paper
Mechanical Engineering (ME) 2020 [Session 1]20203View paper
Mechanical Engineering (ME) 2020 [Session 2]20204View paper
Mechanical Engineering (ME) 2019 [Session 1]20193View paper
Mechanical Engineering (ME) 2019 [Session 2]20192View paper
Mechanical Engineering (ME) 2018 [Session 1]20184View paper
Mechanical Engineering (ME) 2018 [Session 2]20182View paper
Mechanical Engineering (ME) 2016 [Session 1]20161View paper
Mechanical Engineering (ME) 2016 [Session 2]20162View paper
Mechanical Engineering (ME) 2016 [Session 3]20162View paper
Mechanical Engineering (ME) 2015 [Session 2]20151View paper
Mechanical Engineering (ME) 2014 [Session 1]20143View paper
Mechanical Engineering (ME) 2014 [Session 2]20141View paper
Mechanical Engineering (ME) 2014 [Session 3]20143View paper
Mechanical Engineering (ME) 2014 [Session 4]20141View paper
Mechanical Engineering (ME) 2013 [Session 1]20133View paper
Mechanical Engineering (ME) 2013 [Session 2]20132View paper
Mechanical Engineering (ME) 2013 [Session 3]20132View paper
Mechanical Engineering (ME) 2013 [Session 4]20133View paper
Mechanical Engineering (ME) 201120112View paper
Mechanical Engineering (ME) 201020104View paper
Mechanical Engineering (ME) 200920093View paper
Mechanical Engineering (ME) 200820082View paper
Mechanical Engineering (ME) 200720075View paper

All Theory of Machines previous year questions

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

1
2007 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2007
The input link O₂P of a four bar linkage is rotated at 2 rad/s in counter clockwise direction as shown below. The angular velocity of the coupler PQ in rad/s, at an instant when ∠O₄O₂P = 180°, is
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2
2007 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2007
The speed of an engine varies from 210 rad/s to 190 rad/s. During a cycle the change in kinetic energy is found to be 400 Nm. The inertia of the flywheel in kgm² is
Open complete paper
3
2007 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2007
The contact ratio of the contacting tooth is
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4
2007 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2007
If the quick return ratio is 1:2, then the length of the crank in mm is
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5
2007 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2007

The angular speed of PQ in rev/s when the block R attains maximum speed during forward stroke (stroke with slower speed) is

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6
2008 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2008
A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Gruebler's criterion, is
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7
2008 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2008
In a cam design, the rise motion is given by a simple harmonic motion (SHM) \(s = \frac{h}{2} \left(1 - \cos \frac{\pi \theta}{\beta}\right)\) where h is total rise, \(\theta\) is camshaft angle, \(\beta\) is the total angle of the rise interval. The jerk is given by
Open complete paper
8
2009 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2009
A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick return mechanism is 2 : 1. If the radius of the crank \( O_1P \) is 125 mm, then the distance \( d \) (in mm) between the crank centre to lever pivot centre point should be
Open complete paper
9
2009 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2009

An epicyclic gear train is shown schematically in the adjacent figure. The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw (ccw = counter-clockwise and cw = clockwise). The arm 4 attached to the output shaft will rotate at

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10
2009 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2009
Match the approaches given below to perform stated kinematics / dynamics analysis of machine.
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11
2010 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2010

Which of the following statements is INCORRECT

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12
2010 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2010
Torque exerted on a flywheel over a cycle is listed in the table. Flywheel energy (in J per unit cycle) using Simpson's rule is
Angle (degree)060120180240300360
Torque (N·m)01066-3230323-3550

Question diagram

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13
2010 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2010
For the epicyclic gear arrangement shown in the figure, \( \omega_4 = 100 \) rad/s clockwise (CW) and \( \omega_{arm} = 80 \) rad/s counter clockwise (CCW). The angular velocity \( \omega_5 \) (in rad/s) is
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14
2010 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2010
For the configuration shown, the angular velocity of link AB is 10 rad/s counterclockwise. The magnitude of the relative sliding velocity (in m s\(^{-1}\)) of slider B with respect to rigid link CD is
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15
2011 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2011

A double-parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism is

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16
2011 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2011

For the four-bar linkage shown in the figure, the angular velocity of link AB is 1 rad/s. The length of link CD is 1.5 times the length of link AB. In the configuration shown, the angular velocity of link CD in rad/s is

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17
2013 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2013 [Session 1]
A planar closed kinematic chain is formed with rigid links PQ = 2.0 \( m \), QR = 3.0 \( m \), RS = 2.5 \( m \) and SP = 2.7 \( m \) with all revolute joints. The link to be fixed to obtain a double rocker (rocker-rocker) mechanism is
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18
2013 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2013 [Session 1]
A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed ±2%, the mass moment of inertia of the flywheel in kg-m2 is
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19
2013 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2013 [Session 1]

A compound gear train with gears P, Q, R and S has number of teeth 20, 40, 15 and 20, respectively. Gears Q and R are mounted on the same shaft as shown in the figure below. The diameter of the gear Q is twice that of the gear R. If the module of the gear R is 2 mm, the center distance in mm between gears P and S is

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20
2013 · Mechanical Engineering · Applied Mechanics and Design · Theory of Machines
Mechanical Engineering (ME) 2013 [Session 2]
A planar closed kinematic chain is formed with rigid links \(PQ = 2.0\, m\), \(QR = 3.0\, m\), \(RS = 2.5\, m\) and \(SP = 2.7\, m\) with all revolute joints. The link to be fixed to obtain a double rocker (rocker-rocker) mechanism is
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Showing 20 of 64 questions