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

Printed Pages: 7 536 N ME-102
(Following Paper ID and Roll No. to be filled in your
Answer Book)
Roll No.
B. Tech.
(SEM. I) THEORY EXAMINATION, 2015-16
EN GINEERIN G MECHANICS
[Time:3 hours] [Total Marks:100]
Section-A
Q.] Attempt all parts. All parts carry equal marks. Write
answer ofeach part in short (2x10=20)
(a)
(b)
(C)
(d)
(e)
What is static equilibrium ? Write down suf?cient
condition of static equilibrium for a Coplanar
concurrent and non-concurrent force system.
Write any four engineering applications of friction.
Differentiate between perfect and imperfect truss.
What do you understand by point of contra-
?exure?
State perpendicular axis theorem.
(1) NME-102 / 35000

(D What do you understand by radius of gyration ?
(g) Write the different types of motion.
(h) What do you understand by Work-Energy
principle?
(i) What do you mean by strain energy ?
(j) State D?Alembert?s principle.
Section-B
Note: Attempt any five questions from this section :
(10 x 5 = 50)
Q2. Two identical follers, each of weights 1000 N are
supported by an inclined plane as shown in ?g.1.
Assuming smooth surfaces, ?nd the reactions induced
at the points of supports.
3.
4.
5.
Compute the forces in all the members for the given
tmss as shown in ?gZ. Distance betweenA and C is 12m.
O l' 5 m N
(533)
Calculate the support reactions in the given cantiliver
beam as shown in ?g.3.
20m
? ?Wm
50th
A A B
L._
i? 3m .11: 1m 4; Im 4
(53-3)
For the semi-annular area shown in ?g. 4, determine the
. _ 3
ratlo ofatobso that y=Zb.
. (3) P.T.(;

Y4.
' .....?x
A compound wheel rolls without slipping between two
parallel platesA and B as shown in ?g. 5. At the instant A
moves to the right with a velocity of l .2 m/s and B moves
to the left with a velocity of 0.6 m/s. Calculate the
velocity of cehter of wheel and the angular velocity of
wheel. Take rJ = 120 mm and r2 = 360 mm.
(4)
A wheel that is rotating at 300 rpm attains a speed of
180 rpm after 20 seconds. Determine the acceleration
of the ?ywheel assuming it to be uniform. Also
determine the time taken to come to rest from a speed
of 300 rpm if the acceleration remains the same and
number of revolutions made during this time.
Determine the safe diameter of solid shaft which will
transmit 450 kW at 300 rpm. The angle of twist must
not exceed 1? per metre length and the maximum
torsional shear stress is limited to 40 N/mmz. Assume
modulus of rigidity to be 80 N/mmz.
Derive the expression for mass moment of inertia of a
sphere about centroidal axis.
Section-C
Note :Attempt any two questions from this section.(15x2=30)
10. Determine the moment ofinertia about x-x and y-y axis
passing through the centroid of the unsymmetrical 1-
section as shown in ?g. 6
. (5) P.T.O.

11.
12.
r-?u- ' .- L=?
-..?. .?? ? 317-? 5!
r25? w?i?xst?; . 5??
2:
1w?
? 2'13 5
?o ad?
f?h, an 15cm
Derive the Bending equation. A cast iron water main 500
mm external diameter and 25 mm thickness is running
full and is simply supported 30 m apart. Determine the
bending stress produced in the material if the speci?c
weight ofcast iron and water are 18500 kG/m3 and 1000
kG/m3 respectively.
For the beam shown in ?g.7 draw the shear force and
bending moment diagram. Determine the position of
maximum bending moment. Also determine the point of
contra??exure if any.
(6)
10 Wm 16 KNim
A r ?\(V?t?
c 0
(Sn - - 2.5m 5m 2.5m '
(?g-7)
_x?
(7)
NME-102 / 35000