Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 2nd Semester (Second Semester) 2014-15 EME 202 Engineering Mechanics Question Paper
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(Following Paper ID and Roll No. to be filled in your Answer Book)
PAPER ID : 199217 a '
Roll No.
B. Tech.
(SEM. II) THEORY EXAMINATION, 2014-15
ENGINEERING MECHANICS
Time : 3 Hours] [Total Marks : 100
Note : (1) This paper contains three sections. Section A
" - cam'es 20 marks, section B carries 30 marks and
section C carries 50 marks.
(2) Attempt all questions. Marks are indicated against
each question. "
(3) Assume any missing data suitably.
SECTION A
1 Answer all questions 10x2=20
(a) A force of 5 kN inclined upward at an angle of
62? with horizontal axis acts at a point (1m, 3m).
Find the moment of the force about the origin.
(b) State Van'gnon?s theorem and its importance in
?nding the resultant of a? coplanar force system.
(c) List the assumptions made in analysis of truss.
(d) Explain the relationship between load, shear force
and bending moment.
199217] 1 [ Contd...
(6
(g)
(h)
(1)
(i)
(21)
199217]
What is the difference between. centroid and
center of gravity? ?
Explain the concept of dynamic equilibrium?
For a thin disc of mass m, the polar moment of
inertia about an axis passing through its center and
normal to the plane of disc is given as nr% .
Determine its mass moment of inertia about the
same axis.?
A solid steel shaft A of 45 mm diameter rotates
at 500? RPM. F ind the greatest power that can
be transmitted for a limiting shearing stress of
45 MPa in the steel.
De?ne resilience and proof resilience.
A particle is moving along a circular path with
a constant velocity. What will be its acceleration?
SECTION B
Attempt any three of the following: 10x3=30
The bucket and its contents shown in ?gure have
a mass of 60 kg. If the cable BAC is 15 m long,
determine the distance y to the pulley at A for
equilibrium. Neglect the size of the pulley.
[ Contd...
(b) F ind the reaction and forces in the each member
of given truss.
(0) Determine the centroid of a wire bent in shape
of a triangle as shown in ?gure about the given
"xaxis.
14 cm
6cm
199217] 3 [ Contd...
((1) Two weights, each of 20 N, are suspended from
a two?step pulley as shown in ?gure. Find the
acceleration of the weight A and B using
D?Alembert?s principle. The weight of the pulley
is 200 N and its radius of gyration is 200 mm. .
(e) The cross section of a 4 m simply supported
beam is shown in ?gure. Determine the central
concentrated load, which will cause a tensile
stress of 15 MPa. Also determine corresponding
compressive stress.
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ISOuIm
1
20m ?
k-j?-?? mm..___s
199217] 4 ' [ Contd...
SECTION cs
3 Attempt any two of the following: 5x2=10
(a) A wedge is used to level the member loaded as
shown in ?gure. Determine the force P that must
? be applied to the wedge to the right. Assume
coef?cient of friction as 0.25. Neglect size and
weight of the wedge. '
20 kN
AD=DB=600 mm
BE=250 mm
CE=500 mm
Angle of wedge = 5?
(b) For the system given in the ?gure ?nd the
maximum and minimum value of P for not to raise
or lower the mass of 100 kg. Take on = 20?
and coef?cient of friction between cable and the
drum is 0.3.
199217]
5
[ Contd...
(o) A tensile force of T = 1000 N is produced using
a turnbuckle in one of the radial bars of regular
square in which all joints are hinged, as shown
in ?gure. Determine the forces produced in other
bars.
A
D B
C
4 Attempt any one of the following: 10x1=10
(a) Calculate area moment of inertia of area under
curve y = kx? about x and y axis.
.y 9
(a. b)
kx"
-(
ll
?X
O
(b) Determine the mass moment of inertia of a right
circular cylinder about its centroidal axes.
199217] _ 6 ? [Contd...
V
5 Attempt any one of the following: 4 10x1=10
(a) Determine forces in all the members of truss shown
below in ?gure. All the hon'zontal members are 3 m
long and vertical members 2 m long.
300 W
B C T
5 m
A E p . in
:79?
I 5 m \f 5 m y 5 I'll ?
I - 100 W 500 m '
(b) Draw the SFD and BMD for the beam shown
in ?gure.
20 m 40 m 20 m
20m,? 10 kN?ml 1
a
D E " $7
6 Attempt any two of the following: 5x2='10
(a) The acceleration of a particle is de?ned by the relation
a = -0.5 v, where a is in mm/s2 and v in mm/s. If at
t = 0, the velocity is 25 mm/s, determine (a) the distance
the particle will travel before coming to rest, (b) the time
required for coming to rest and (c) the time required for
the velocity to be reduced to one percent of its initial value.
(b) A particle moves along a path y = 3x2 m. The motion
starts at t = 0 from origin and projection of the particle
on x axis varies as 0-4 t2. What are the acceleration
components in tangential direction and normal to the path
at t = 2s? What is the velOcity of the particle at t = 2s?
199217] 7 [ Contd...
(c) A double pulley supports two blocks A and B
as shown in ?gure. The block A is moving
downwards and has an acceleration of
0.3t 111/52 and an initial velocity of'0.5 m/s. At
time t = 5 3, determine acceleration of pointP.
3:200mm
\
1:150mm
7 Attempt any two of the following: 5x2=10
(a) Determine the extension of a uniform bar hanging under
. its own weight.
(b) A compound bar of steel and CI is shown in ?gure V
has a gap of 1 mm. If Es- ? 200 GPa and ECI = 100
GPa ?nd the stresses in the bar ~
Steel Id ?}, C? E::g?
4?? 0753". -?-+?o.sm??>I l<-?Inun
A shaft of hollow circular section has outer diameter
120 mm, Inner diameter 100 mm. Permissible shear
stress is 95 MPa. Angle of twist is not to exceed 3 - 6?
in a length of 3 m. The maximum value of torque may
exceeds the mean by 30%. Speed of shaft is 2 rps.
Determine the maximum value of Power that can be
transmitted. Modulus of regidity = 80 GPa.
Y?VON%\
8
(
199217] 8
This post was last modified on 29 January 2020