Download AKTU B-Tech 1st Sem 2015-2016 EME 102 Engineering Mechanics Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 1st Semester (First Semester) 2015-2016 EME 102 Engineering Mechanics Question Paper

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B.Tech
(SEM. _1) THEORY EXAMINATION, 2015-16
ENGINEERING MECHAN 1C S (EME-102)
[Time:3 hours] _ [Total Marks:100]
SECTION?A
1 Attempt all parts. All parts carry equal marks. Write
answer of each part in short. (10X2=20)
(a) Two forces 60 KN and 20KN act at a point 0. The
7 included angle between them is 50?. F ind the
magnitude and direction of the resultant?
(b) De?ne force couple system.
(c) De?ne point of contra-?exure in beam.
(d) Write down the assumptions in truss analysis.
(e) De?ne product of inertia and area moment of
inertia.
EME 102/7100 (1)
. (?1M . k .

(0 Locate centroid of a wire bent in the form of
quarter-circular arc.
(g) De?ne General plane motion with suitable
example.
(h) State D, Alembert?s principle.
.7 (i) Write down the relation between E, K, G, g ?
(j) Write down the assumption in pure bending?
SECTION-B Fig. 1
Attempt any ?ve questions ?om this sections. 3. Draw the SFD and BMD for the given beam ?gure. 2.0.
' ' d ' t f ntra
(10 x 5 =50) Also ?nd out the posmon of max BM an pom o co
? . . ?exure.
2. Three sphere A, B and C havmg their diameter 500 mm,
500mm and 800 mm respectively are placed in a trench IO mm ?20 KM? 10 KN 20 KN 20 KM?
The center to center distance of spheres A and B is 600
with smooth side walls and ?oor as shown in ?gure] m l l ' m
\i
. 4 m ? 2 m 2 m ? 2 m 2 :11
mm. The weights of the cylindersA, B and C are 4 KN, ?* ' " M
4KN and 8KN respectively. Determine the reactions
at P,Q,R, and S. ' . Fig. 2.0
4. Find out axial forces in all the members of truss Fig.
3.0.
(2) EME ?2 I (3) p.120.

Fig. 3.0
[Derive the relation for mass moment of inertia of
cylinder about it?s transverse?centriodal axis.
Find out eentroid of given section Fig.4.0. Also ?nd
out MOI about base. Take X=40mm
Fig. 4.0
(4) EME 102
State work-energy principle. Also describe rotational
motion of body.
A car weighing 11 KN and running at 10 m/sec holds
three men each weighing 700 N. the men jump off from
the back end gaining a relative velocity of 5 m/sec with
the car. Find the speed of car if three men jump off(i)
all together(ii) in succession.
A body weighing 1200N rests on a rough plane inclined
at 12? to horizontal. It is pulled by a ?exible rope
running parallel to the plane and passing over a
frictionless pulley. The portion of rope hangs vertically
down and carries weight SOON Fig. 5 .0. If the coef?cient
of friction is 0.2 ?nd tension in rope and acceleration
with which body moves up.
/
12? .
?\\\\\\\\\ \ \
Fig. 5.0
(5) P.T.0.

9. What do you mean by simple and pure bending?
An 80 m long wire of 5 mm diameter is made of steel
E=200 GPa ultimate tensile strength is 400 MPa. If
factor of safety is 3.2 ?nd out maximum tension and
corresponding elongation.
? SECTION-C
Attempt any two questionszfrom this section.
(15X2=30)
10. (a) Detennine the resultant of fodr forces tangent to
the circle of radius 3 m shown in Fig.6.0. What
' will be its location with respect to the centerof
the circle.
ISON
5_0N
80N
--?
lOON
Fig. 6.0
(6) EME 102
(i3) A ladder 7 m long rests against a vertical wall with
which it makes an angle of 30? and resting on a
?oor. If a man whose weight is one half of that
ladder, climbs it. At what distance along the ladder
will he be When ladder is about to slip? ,u), = 0.33
at wall and 0.5 at ?oor.
(a) A step pulley starts from rest and accelerates by 2
rad/sz. Inner radius is 0.6 m and outer radius is l
m. Two blocks A and B are attached to inner and
outer pulley respectively. Find out time required
for block Ato move 20 m. also ?nd out velocities
of both blocks.
(b) A sphere, cylinder and hoop is released from the
top of a inclined and rolling. What will be the
velocity at the end of inclined plane ?
(a) Draw the Stress-Strain diagram for ductile material
mild steel under tension and discuss all the salient
points.
(7) P.T.O.

(b)
(C)
Determine the dimensions of a simply supported
rectangular steel beam 6 m long to carry ?a brick
' wa11250 mm thick and 3 m high. If the brick weight
is 20 KN/m3 and the maximum stress is 8OON/cm1.
The depth of beam is 1.5 times of it?s width.
De?ne the term Poisson?s ratio. Also establish the
relation between modulus of elasticity and modulus
of rigidity.
(8) EME 102 / 7100