Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 2nd Semester (Second Semester) 2015-16 202NME Engineering Machanics Question Paper
(Following Paper ID and Roll No. to be ?lled in your
Answer Books)
RollNo.|JTT l l [111
B.TECH.
Theory Examination (Semester?II) 2015-16
ENGINEERING MECHANICS
Time : 3 Hours Max. Marks .' I 00
Note: This paper having three section attempt question from
each section as per instruction.
Section-A
Ql. ATTEPMT ALL PARTS (2X10=20)
a) State the Varignon's theorem. In what conditions it is
used?
b) A body P is about to slip over body Q. Normal re-
action at the contact surface is 120 N and the angle
of friction is 14?. Determine the friction force.
0) Explain law of transmissibility of forces
:1) P.T.O.
2505147173] '43275
Q2.
d)
g)
h)
1')
De?ne the relationship between load, shear force and
bending moment.
Write down the assumptions taken during analysis of
truss.
Determine the maximum bending moment in a sim-
ply supported beam having span of 7m and carrying
a point load of SON at mid of span.
De?ne polar moment of inertia and radius of gyra-
tion.
De?ne modulus of rigidity and modulus of elasticity.
De?ne section modulus.
Write; down the conservation of energy principle.
Section-B
Attempt any ?ve questions from this section.
3)
(SXI0=50)
Two smooth cylinders of weight P and Q are placed
in a smooth channel as shown in ?gure. Determine
the reactions at contact surfaces A. B & C. The fol-
(2)
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b)
P
lowing numerical data are given: P=ZOON, Q=800N,
r,=lOOmm, r2=200mm, and a=400mm, a=45?.
Two blocks having weights W1 and W2 are con-
nected by a string and rest on horizontal planes as
shown in ?gure. If the angle of ?ction for each
block is (p, ?nd the magnitude and direction of the
least force P applied to the upper block that will
induce sliding.
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(3) P.T.O.
2505/147/1731/43275
c.) Analyze the truss as shown in ?gure. And ?nd mag- e) Derive the mass moment of inertia a sphere of radius R
nitude and nature of forces in each member of truss. about centroidal axis.
_ P? t) The distance covered by a ?eely falling body in the last
2 1 second of its motion and that covered in the last but
I one second are in the ratio of 5:4. Calculate the height
1 from which it strikes the ground.
/ g) A right circular cylinder of mass m' and radius'r'is sus-
pended from a cord that is wound round its circumfer-
; / ence. If the cylinder is allowed to fall freely. ?nd accel-
.D
eration of its mass centre G and tension in the cord.
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d) Detennine the co-ordinates of the centroid C of the
shaded area as shown in ?gure.
1%
.b
h) Prove that ratio of depth to width to the strongest beam
that can be cut circular log of diameter d is \/2.
9 X
(4) L (5) P.T.O.
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Section-C
Attempt any two question from this section. (2X15=30)
Q3. What are the assumptions taken during derivation of torsion
equation. Derive torsion equation
T/J = r/r = GO/L
Calculate the minimum diameter of a solid circular shaft
which is not allowed to twist more than 2? in a 5m length
when subjected to a torque of 12KN-m. Also calculate the
maximum sharing stress developed. Take modulus of
rigidity(G)=83 GPa.
Q4. Draw the shear force and bending moment diagram of the
beam as shown in ?g and also locate the point of
contra?exture.
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Q5. Calculate the moment of inertia of composite section as
shown in ?gure about its centroidal axis.
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1 (7)
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This post was last modified on 29 January 2020