Table Of ContentESE-2017
I
UPSC Engineering Services Examination
III OE ERSY
Preliminary Examination Publications
Mechanical
Engineering
Topicwise Objective Solved Papers
22
Years
Previous Solved Papers
• Fully Solved with Explanations
• Topicwise Presentation
• Thoroughly Revised and Updated
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simplified approach totheoverall conceptsof related stream B. Singh (Ex. IES)
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B. Singh (Ex. IES)
CMD, MADE EASY Group
Contents
Mechanical
Volume-II
Engineering
Objective Solved Questions
of UPSC Engineering Services Examination
SI. Topic Pages
i. Mechanisms and Machines 1-105
2. Design of Machine Elements 106-190
3. Strength of Materials 191-286
4. Material Science 287-344
5. Manufacturing Engineering 345-467
6. Industrial Engineering 468-556
0000
UNIT
Mechanisms and Machines
Syllabus
Types of Kinematics Pair, Mobility, Inversions, Kinematic Analysis, Velocity and Acceleration Analysis of Planar
Mechanisms, CAMs with uniform acceleration and retardation, cycloidal motion, oscillating followers; Vibrations-
Free and forced vibration of undamped and damped SDOF systems,Transmissibility Ratio,Mbration Isolation, Critical
Speed of Shafts. Gears-Geometry of tooth profiles, Law of gearing, Involute profile, Interference, Helical, Spiral and
Worm Gears, GearTrains- Simple, compoUnd and Epicyclic; Dynamic Analysis -Slider - crank mechanisms, turning
moment computations, balancing of Revolving &Reciprocating masses, Gyroscopes -Effect of Gyroscopic couple
on automobiles, ships and alrcrafts, Governors, Flywheel.
MachlneVlbration, Data acquisition, Fault Detection,Vibration Monitoring, Field Balancing of Rotors, NoiseMonitorIng.
Contents
Si. I Topic I Page No.
1. Displacement, Velocity and Acceleration 2
2. Planer Mechanism 13
3. Cams 28
4. Dynamic Analysis of Slider-crank 34
5. Gear and Gear Train 40
6. Flywheel 61
7. Vibration 68
8. Governors 89
9. Balancing 98
0000
Displacement, Velocity &
Acceleration
1.1 The instantaneous centre of rotation of a rigid thin
disc rolling on a plane rigid surface is located at
(a) the centre of the disc
(b) an infinite distance on the plane surface
(c) the point of contact
(d) the point on the circumference situated
vertically opposite to the contact point
[ESE : 1995]
1.2 The directions of Coriolis component of
acceleration, 2wV, of the slider A with respect to
the coincident point B is shown in figure 1, 2, 3
and 4. Directions shown by figures
(a) the centre of swivel trunnion
(b) the intersection of line ABand a perpendicular
to BD to
(c) infinity along AC
(d) infinity perpendicular to BD
GAIN- im [ESE : 1996]
1.5 The instantaneous centre of motion of rigid thin
disc wheel rolling on plane rigid surface shown in
0 the figure, is located at the point
Fig.7 Fig. 2 Fig. 3 Fig
(a) 2 and 4 are wrong
(b) 1 and 2 are wrong
(c) 1 and 3 are wrong
(d) 2 and 3 are wrong
[ESE : 1995]
1.3 The centre of gravity of the coupler link in a 4-bar
mechanism would experience
(a) no acceleration (a) A (b) B
(b) only linear acceleration (c) C (d) D
(c) only angular acceleration [ESE : 1996]
(d) both linear and angular accelerations
[ESE : 1996] In the figure shown, crank AB is 15 cm long and
is rotating at 10 rad/sec C is vertically above A.
1.4 In the Mechanism ABCDshown in the given figure, CA equals 25 cm..0 is a swivel trunnion through
the fixed link is denoted as (1), Crank AB as (2) which BD (40 cm.) Slides. If ABCD becomes a
rocker BD (3), Swivel trunnion at C as (4) The vertical line during its motion, the angular velocity
instantaneous centre 4, is at of the swivel trunnion at that instant will be
MADE EASM Mechanisms and Machines 3
(a) n/2 (b) n
1
(d) *2-1)
(0) n2
[ESE : 1998]
1.11 In OHM, with respect to the displacement vector,
the positions of Velocity vector and Acceleration
vector will be respectively
(a) 180° and 90 (b) 90° and 180°
(c) 0° and 90° (d) 90° and 0°
[ESE : 1998]
1.12 The relative acceleration of two points which are
at variable distance apart on a moving link can
(a) zero (b) (100/25) rad/s be determined by using the
(c) (100/15) rad/s (d) (100/10) rad/s (a) three centres in line theorem
[ESE : 1997] (b) instantaneous centre of rotation
1.7 In order to draw the acceleration diagram, it is (c) Coriolis component of acceleration method
necessary to determine the Coriolis component (d) Klein's construction
of acceleration in the case of [ESE: 1999]
(a) crank and slotted lever quick return 1.13 Consider afour-bar mechanism shown in the given
mechanism figure. The driving link DA is rotation uniformly at
(b) slider-crank mechanism a speed of 100 r.p.m clockwise.
(c) four bar mechanism
(d) pantograph
[ESE : 1997]
1.8 Two links OA and 08 are connected by a pin
joint at '0. The link OA turns with angular velocity
col radians per second in the clockwise direction
and the link OB turns with angular velocity say
radians per second in the anticlockwise direction.
If the radius of the pin at '0 is then the rubbing
velocity at the pin joint '0 will be
(a) (0402.r (b) (01.1—(02)r The velocity of A will be
(a) 300 cm/s (b) 314 cm/s
(c) (0, + css)r (d) (cst — cos)2r (c) 325 cm/s (d) 400 cm/s
[ESE : 1998] [ESE : 1999]
1.9 When a slider moves with a velocity 'V on a link 1.14 Which one of the following sets of acceleration is
rotating at an angular speed of or the Coriolis involved in the motion of the piston inside the
component of acceleration is given by cylinder of a uniformly rotating cylinder
(a) N/70 (b) Vo mechanism?
(c) Va)/2 (d) 2Vro (a) Coriolis and radial acceleration
[ESE : 1998] (b) Radial and tangential acceleration
(c) Coriolis and gyroscopic acceleration
1.10 The total number of instantaneous centres for a (di) Gyroscopic and tangential acceleration
mechanism consisting of links is [ESE : 2000]
4 MI= Mechanical Engineering • Volume-II S(4ol1veedC Paiip(elres
1.15 Consider the following statements regarding
motions in machines :
1. Tangential acceleration is a function of angular
velocity and the radial acceleration is a
function of angular acceleration.
2. The resultant acceleration of a point A with
respect to a point B on a rotating link is
perpendicular to AB.
3, The direction of the relative velocity of a point
A with respect to a point Bona rotating link
is perpendicular to AB.
Which of these statements is/are correct? The quick return ratio of the mechanism is
(a) 1 only (b) 2 and 3 (a) 3.0 (b) 2.75
(c) 1 and 3 (d) 3 only (c) 2.5 (d) 2.0
[ESE :2001] [ESE : 2002]
1.16 Assertion (A): Inertia force always acts through 1.j3 Three positions of the quick-return mechanism are
the centroid of the body and is directed opposite shown below. In which of the cases does the
Coriolis component of acceleration exist?
to the acceleration of the centroid.
Select the correct answer using the codes given
Reason (R): It has always a tendency to retard
below:
the motion.
(a) both A and R are true and R is the correct
explanation of A
(b) both A and R are true but R is not a correct
explanation of A
(c) A is true but R is false
(d) A is false but R is true
[ESE :2001]
1.17 The instantaneous centre of rotation of a rigid thin (1) (2) (3)
disc rolling without slip on a plane rigid surface is
(a) 1 only (b) 1 and 2
located at (c) 1. 2 and 3 (d) 2 and 3
(a) the centre of the disc [ESE: 2003]
(b) an infinite distance perpendicular to the plane
surface 1.20 Two points, A and B located along the radius of
(c) the point of contact a wheel, as shown in the figure below, have
velocities of 80 and 140m/s, respectively. The
(d) the point on the circumference situated
distance between points A and B is 300 mm. The
vertically opposite to the contact point
radius of wheel is
[ESE : 2002]
1.18 The crank and slotted lever quick-return motion
mechanism is shown in figure. The length of links
O. 02, Or C and 02A are 10 cm, 20 cm and 5 cm
respectively.
MME ERSH Mechanismsand Machines 5
(a) 400 mm (b) 500 mm
(c) 600 mm (d) 700 mm
[ESE : 2003]
1.21 ABCD Is bar mechanism, in which AD is the fixed
JJ link, and link BC, is In the form of a circular disc
with centre P. In which one of the following cases
P will be the instantaneous centre of the disc?
(a) 0 (b) 0.8
(c) 0.24 m/s2 (d) 0.32m/s2
[ESE : 2005]
(a) If it lies on the perpendicular bisector of
1.24 Consider the following statements:
link BC
(b) If It lies on the intersection of the
perpendicular bisectors of BC & AD
(c) If it lies on the intersection of the perpendicular
bisectors of AB & CD
(d) If it lies on the intersection of the extensions
of AB and CD
[ESE : 2004]
1.22 In the diagram given below, the magnitude of
absolute angular velocity of link 2 is 10 radians Assertion (A): Link A experiences Coriolis
per second while that of link 3 is 6 radians per acceleration relative to the fixed link.
second. What is the angular velocity of link 3 Reason (R): Slotted link A is rotating with angular
relative to 2? velocity w and the Block B slides in the slot of A.
(a) both A and R are true and R is the correct
explanation of A
(b) both A and R are true but R is not a correct
explanation of A
(c) A is true but R is false
(d) A is false but R is true
[ESE : 2006]
(a) 6 radians per second 1.25 What is the number of instantaneous centres of
(b) 16 radians per second rotation for a 6-link mechanism?
(c) 4 radians per second (a) 4 (b) 6
(d) 14 radians per second (c) 12 (d) 15
[ESE : 2004] [ESE : 2006]
1.23 In the figure given above, the link 2 rotates at an 1.28 What is the direction of the Coriolis component of
angular velocity of 2 rad/s. What is the magnitude acceleration in a slotted lever-crank mechanism?
of Coriolis acceleration experienced by the (a) Along the sliding velocity vector
link 4? (b) Along the direction of the crank
6 Ea= Mechanical Engineering • Volume-II SOoSlvePdC P/a1p0eres
(c) Along a line rotated 90° from the sliding velocity
vector in a direction opposite to the angular
velocity of the slotted lever
(d) Along a line rotated 90° from the sliding velocity 90 mm inm
vector in a direction same as that of the angular
velocity of the slotted lever (a) 1.66 rad/sec2
[ESE: 2007] (b) 3.33 rad/see
1.27 At a given instant, a disc is spinning with angular (c) 5.00 rad/sec2
velocity win a plane at right angles to the paper, (d) 2.50 rad/see
(see the figure) and after a short interval of time [ESE : 2009]
St, it is spinning with angular velocity /a* Swand
1.30 Consider the following statements with reference
the axis of spin has changed direction by the
to the four bar mechanism as shown in the figure
amount 56.
below:
In this situation what is the component of
acceleration parallel to OA?
(a) de/dt (b) (o13/ dt)
(c) duYdt (d) ot/cko At the instant considered,
[ESE : 2008] 1. wz= wa
2. Link 3 undergoes pure translation
1.28 A rod of length 1 m is sliding in a corner as shown
3. Velocity diagram is a straight line
in the figure below. At an instant when the rod 4. V„ (EN- ca,)AB
makes an angle of 6W with the horizontal plane,
the downward velocity of point A is 1 m/s. What Which of these statements are correct?
is the angular velocity of the rod at this instant? (a) 1, 2 and 3 (b) 2 and 3
(c) 2 and 4 (d) 1, 2, 3 and 4
[ESE :2010]
1.31 Total number of instantaneous centers of rotation
for a mechanism having n links is
n(n -1)
(a) 2 (b) 12.1-
(c) n- 1 (d) n
(a) 2.0 rad/s (b) 1.5 rad/s [ESE :2011]
(c) 0.5 rad/s (d) 0.75 rad/s 1.32 A ball is thrown upwards and it returns to the
[ESE: 2009] ground describing a parabolic path which of the
1.29 The figure as shown below is a rigid body following remains constant?
undergoing planar motion. The absolute tangential (a) Kinetic energy of the ball
accelerations of the points R and Son the body (b) Speed of the ball
are 150 mm/secs and 300 mm/secs respectively (c) Horizontal component of velocity
in the directions shown. What is the angular (d) Vertical component of velocity
acceleration of the rigid body? (ESE :2013]
MADE EICISH Mechanisms and Machines 7
1.33 A man is climbing up a ladder which is resting direction of Coriolis component of acceleration
against a vertical wall. When he was exactly half with respect to angular velocity are
way up, the ladder started slipping. The path (a) 30 m/sz and direction is such as to rotate
traced by the man is : slider velocity in the same sense as the
(a) Parabola (b) Hyperbola angular velocity
(c) Ellipse (d) Circle (b) 30 m/sz and direction is such as to rotate
[ESE : 2013] slider velocity in the opposite sense as the
angular velocity
1.34 Consider the following statements regarding
(c) 60 m/s, and direction is such as to rotate
motions of various points of the same link of a
slider velocity in the same sense as the
mechanism
angular velocity
1. The magnitude of the relative velocity of a
(d) 60 m/sz and direction is such as to rotate
point A with respect to a point Bon a rotation
of link is given by multiplication of angular slider velocity in the opposite sense as the
angular velocity
velocity with distance between the points.
2. The direction of the relative velocity of a point [ESE : 2015]
A with respect to a point Bon a rotating link 1.38 A body starting from rest moves in a straight line
is perpendicular to AB. with its equation of motion being
3 The resultant acceleration of a point A with 2g - + 21 1
respect to a point B of the same link is where s is displacement in m and t is time ins.
perpendicular to AB. Its acceleration after one second is
Which of these statements are correct? (a) 6 m/s2 (b) 2 m/sz
(a) 1, 2 and 3 (b) 1 and 3 only (c) 12 m/s, (d) 3 m/s2
(c) 1 and 2 only (d) 2 and 3 only [ESE : 2015]
[ESE : 2013] 1.39 A four-bar mechanism Is as shown in the figure
1.35 Universal or Hook's joint is used to connect two below. At the instant shown, AB is shorter than
non-coaxial rotating shafts transmitting powm and CD by 30 cm. AB is rotating at 5 rad/s and CD is
intersecting at a small angle transmitting power. rotating at 2 rad/s:
Fora constant rotating speed of the driving shaft,
the maximum fluctuation of instantaneous speed
of the driven shaft :
(a) Varies as the square of the angle (in radian)
between the two shafts.
(b) Varies as the angle (in radian) between the
two shafts The length of AB is
(c) Varies as the inverse of the angle (in radian) (a) 10 cm (b) 20 cm
between the two shafts (c) 30 cm (d) 40 cm
(d) is nil [ESE :2015]
[ESE : 2013] 1.40 Assertion (A): The cam in contact with a follower
1.38The number of instantaneous centres of rotation is a case of complete constraint.
fora 10 ink kinematic chain is Reason (R): The pair, cam and follower, by itself
(a) 36 (Is) 90 does not guarantee continuity of contact all the
(c) 120 (d) 45 time.
[ESE : 2014] (a) Both A and R are true and R is the correct
explanation of A
1.37 In a crank and slotted lever type quick return (b) Both A and R are true but R is not a correct
mechanism, the link moves with en angular explanation of A
velocity of 20 rad/s, while the slider moves with (c) A is true but R is false
a linear velocity of 1.5 m/s. The magnitude and (d) A is false but R is true [ESE : 2015]
