Download AKTU B-Tech 1st Sem 2015-2016 BT 103 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 BT 103 Engineering Mechanics Question Paper

Printed Pages : 8 518 BT?103
(Following Paper ID and Roll No. to be ?lled in your
Answer Book)
Roll No.
B.Tech.
THEORY EXAMINATION, 2015-16
ENGINEERIN G MECHANICS
[Time : 3 hours] [Total Marks: 100]
Note: (1) Attempt all questions.
(2) Assume missing data-suitably, if any.
SECTION-A
1. Attempt all parts. All parts carry equal marks. Write
answer of each part in short. (2x10=20)
(a) Differentiate between Kinetics and Kinematics.
(b) What is principle of transmissibility of a force,
explain it with suitable example?
(c) Two forces of magnitude 50 KN and 80 KN are
acting on a particle, such that the angle between
the two is 75?. Calculate the resultant and ?nd its
direction.
(d) What is a couple? Explain it with suitable example.
(e) State parallel axis theorem with a sketch.
75 (1) P.T.O.

Ct Ce I
(g) De?ne Co-ef?cie
_ m of fr" '
frlction. lotion and angle of
(h) ? A car accelerates u '
mfonnl from
Hrto a speed of75 Km/Hriln 5 a Sped 080 W
by the car during 5 seconds.
(i) What do you mean
by resilie
res11ience? ?06 and mef
(i) What is work energy principle?
SECTION?B
N ote : Attempt any ?ve parts: (5X1 0?50)
2- 1 ?
rce P required to start the roller
30 cm
Figure l
75 (2)
BT?I O3
75
A ladder 5 m long, weighing 250 N is resting against a
wall at an angle of 600 with the horizontal ?oor. A man
weighing 750 N climbs the ladder. At what position along
the ladder from the bottom does he induce slipping? The
coef?cient of friction between wall and ladder as well
as ?oor is 0.3.
Find the magnitude, direction and position of resultant
shown in Figure 2, acting on a lamina of equilateral
triangular shape.
80 N
A 30?y
120 N K
[4?100 mm?D'l
Figure 2
. (3) P.T.O.

5. Draw the shear force and bending moment diagram for
the beam shown in ?gure 3.
10 mm 20 RN
240 kN~m
r 4m
F igure 3
6. Calculate the moment of Inertia of section aboUt the
centroidal axis as shown in Figure 4.
IS m
15?
...______, A zs?wwr
5m
l
l
?mzsm?M
Figure 4
75 (4) BT-103
75
The motion of a particle is de?ned by a = lOt ? t2. How
far will it move from rest before starting to reverse its
direction of motion? Also compute the velocity of the
particle when it returns to its starting position.
The rotor of an electric motor uniformly accelerates to
a speed of 1800 RPM from rest in 5 seconds and then
the rotor decelerates uniformly to st0p. If the total time
elapsed from start to stop is 12.3 second, determine the
number of revolutions made while acceleration and
deceleration.
Determine the weight ?W? that will give the system of
bodies a velocity of 3 m/s after moving a distance of 4.5
m from position of rest. Coef?cient of friction at all
contact points is 0.2. Assume pulley as frictionless
(Figure 5).
? (5) P.T.O.

SECI?ION-C
Note: Attempt any two parts of the following: (2x15=30)
1 0. Attempt both parts of the following: (2x7.5=15)
(a) F ind the forces in all the members of the truss as given
in F igure 6.
l? 7 m 4* 2000?s
1000N
4m
6) BT?103
75 (
(b) Draw the shear force and bending moment diagram for
the beam shown in ?gure 7.
20 W 40 RN
F igure 7
ll. Attempt both parts of the following: (2x7.5=15)
(3) Determine the centroid of given F i gure 8 about the given
axis.
O
75 P.T.O.

(b)
12.
(a)
(b)
75
Derive an expression for mass moment of Inertia of Solid
sphere of base radius ?R? and mass ?M?.
M ._ ? E
I ? f: ? E?Attempt both parts of the following:
(2 x 7.5 = 15)
Drive an expression for pure bending:
Detennine the diameter of solid shaft which will transmit
450 kW at 300 RPM. The angle of twist must not exceed
one degree per meter length and maximum torsional
shear stress is to be limited to 40 N/mmz. Assume G =
80 kN/mm2
(8) BT?103