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 ME 101 Engineering Mechanics Question Paper
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(Following Paper ID and Roll No. to be ?lled in your Answer Book)
PAPER ID : 199218
Roll No.
B. Tech.
(SEM. II) THEORY EXAMINATION, 2014-15
ENGINEERING MECHANICS
Time : 3 Hours] [Total Marks : 100
Note : Attempt all questions.
SECTION - A
1. Answer all questions. [10x2=20]
a. ' What is equilibrium? State the necessary and suf?cient
conditions for a system of coplanar forces to be in
b. State Varignon?s theorem and its importance in ?nding
the resultant of a coplanar force system.
c. De?ne point of contra ?exure. In what type of beams
this point occurs?
(1. What is a de?cient and redundant truss?
e. What is the difference between centroid and center of
gravity? .
f. Explain the concept of dynamic equilibrium?
g. Differentiate between kinematics and kinetics.
11 Discuss the assumption made in analysis of truss.
199218] 1 [ Contd...
i. For a thin disc of 111055 111, the polar moment of inertia
about an axis passing through its center and normal to
the plane of disc is given as nrz / 2 . Determineits mass
moment of inertia about the same axis.
j. De?ne virtual work.
SECTION - B
2. Attempt any three of the following: [10x3=30]
a. TWO identical rollers each of weight 5000 N rest on
smooth inclined planes as shown in ?gure. Find the
Reactions of the planes on rollers.
b. Determine the forces in members of the truss shown
in ?gure. State if the members are in tension or
compression.
199218] ? 2 [ Contd...
0. Determine the cehtroid of a wire bent in shape of a
triangle'as shown in ?gure about the given x axis.
d. When bar AB is in the position shown, and B is sliding
to thc right with a velocity 0.8 m/s. If length of the
bar is 2 m, determine the velocity of end A in this
position. -
e. Two weights, each of 20 N, are suspended ?'om a two-
step pulley as shown in ?gure. Find the acceleration of
the weight A and B using D?Alem?bert?s principle. The
weight of the pulley is 200 N and its radius of gyration
is 200 mm.
199218] 3 [ Contd...
SECTION - C
3. Attempt any one of the following: [10x1=10]
a. Three bars hinged at A and D and pinned at B and
C as shown in ?gure form a four linked mechanism.
Determine the value of p that will prevent movement
of bars.
b. A lever AB is hinged at C and attached to a control
cable at A as shown in ?gure. Determine (i) tension in
the cable and (ii) the reaction at hinge C.
199213] 4 |Contd...
4. Attempt any one of the following: [10x1=10]
a. ' The horizontal. position of 5000 N rectangular block of
concrete is adjusted by 3 5? wedge under the action
of force P. If the coef?cient ofstalic friction for both
surfaces of wedge is 0.3 and for the block and the
horizontal surface is 0.6. Determine the least force
required to move the block
b. Determine the forces in all the members of the following
truss given in ?gure.
199218] , 5 [ Contd...
5. Attempt any one of the following: [10xl=10]
' a. Determine the centroid of the area given under the curve
shown in ?gure.
(a. b)
O
b. Determine the mass moment of inertia of a right circular
cylinder about its centroidal axes.
6. Attempt any one of the following: [10x1=10]
a. The acceleration of a particle is given by the expression
a = 406. The particle starts from zero initial velocity
at x = l m and it is observed that its velocity is 5
m/s when x = 0.5 m. Find the value of k and the velocity
of particle when x = 0.25 m.
199218] 6 [ Contd...
b. BarAB shown in ?gure is 1 meter long. EndAmoves
with a velocity of 5 m/s on horizontal plane. End B
follows a quarter circle path ED of radius 0.5 m. Find
velocity of B for the given position.
7. Attempt any one of the following: [10xl=10]
8. Determine? the distance that bluckAshown in ?gure must
move in order to reach velocity of 3 m/s. What is the
acceleration of the system? Take coe?icient of friction
between the block and plane as 0.2. Use work energy
method. ,
[OWN
199218] 7 [ Contd...
199218]
A 50 kg block kept on top of a 15? slapping surface
is pushed down the plane with an initial velocity of
20 m/s. if coef?cient of kinetic ?ction is 0.4, determine
the distance travelled by the block and the time it will
take as it comes to rest.
This post was last modified on 29 January 2020