Download AKTU B-Tech 2nd Sem 2014-15 NME202 Engineering Mechanics Question Paper

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 NME202 Engineering Mechanics Question Paper

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(Following PaperID and Roll No. to be ?lled in your Answer Book)
PAPER IQ : 199229
Roll No.
B. Tech.
(SEM. 11) THEORY EXAMINATION, 2014-15
' ENGINEERING MECHANICS
Time : 3 Hours] [Total Marks : 100
Note : Assume suitable data if necessary.
PART?A (Compulsory)
1 Attempt all quwtions : lOXZ=20
(a) How do you ?nd the resultant of non coplanar
concurrent force system ?
(b) "Friction is both desirable and undesirable".
Explain.
(c) Withneatskdchsdesaibeinbdefdi??a?enttypes
?of beams.
(d) Whatassumptiorisaremadewhiledetennining
stminahuss?
(e) What is the; d'tlference between centroid and
center of gravity ?
199229] 1 { Contd...

(f)
(g)
(h)
(1)
(i)
(a)
(b)
(C)
199229]
State and explain perpendicular axis theorem.
The equation of motion for motion of a particle
is given by s = 18t + 3 9?213. Find ambition
andvelocitya1t=2sec.
State and explain D'Alembert?s Principles. ,
Draw m strain djag'am for mild steel indim??ng
salient points.
Howissheaxsu'esdevelopedduetotox?on'?
Explain.
PART-B
Anempt any three pans of the foIlowing : 10X3=30
Derive the expmion of mass moment of inertia
foracirculardiscaboutitsdiameu?alaads.
Aum'form ladder, 5111 long weighs 180 N. It is
placedagaimtawallmaldnganangleoftimwith
?oor. The ooc?cieut of ?ction behaveenthewall
andladderisOZSmdbetweenthe?oorand?le
ladderis0.35.Theladderhastowpportamass
900Natitstop. Calu?axe?mhaizomdforoe
'p' to be applied to the ladder at the ?oor level
to preventslipping.
Asteelbeamofhollowsqlmsectionhaving
outersideof60mandinnersidcof50mmis
simplysupportedonaspanof4m. Findthc
mazdmumpointloadthai?lebeammncauyat
themiddleofthespaniffhebendingstr?sis
not to exceed 120 N/mmz.
2 [Contd...
(d) DetzrminethereactionatsupponAandDinthe
su-ucmre shown in ?g. 1
\ b b 4 7V
I 3m " W? " 0-5'm' Am 1
?g.l
(e) AcylinderofweigInIOOONandradiuswcm
'isinequilibrhunasslnwnin?gZF'mdthetension
intheropeAC. LengthofBC isthr.
199229] - 3 [Contd...

/
3
PART?C
Attempt any one part ofthe following : IOXI=10
(a) Asystemofweightconnectedbystringpassing
over pulleys A and B shown in ?g 3. Find the
acceleration of three weights; Assuming string is
weightless and ideal condition for pulleys.
.?q
19mm 4 [CMM4
(b) Determine the force P required to impend the
motion of the block B Shpwn in Fig. 4 Take
ooe?cieut of ?iction = 0.3 for all contact surface.
1
/
/
/
3w?: /
/
f
P Q__w Boom f
v . I
, ?
I
HboN
ff/I'f/ //'f//fTuu
Fig.4
4 Anemptanyonepanof the following: 10XI=10
(a) Dctennine SFD and BMD for the simply supported
beamasshownin?gs andalso?nd maximum BM.
SfSKN
W ?*?V? 21m
?3. 4 ng
WT
2m.
199229] 5 [ Coma...

Fig. 6
5 Attempt any one part of the following : '10x1?10
(a) Show that the product of inertia of an area about
twomutnallypexpendicuhra?siszeroif?tema
is synunetrical about one of these axis.
(b) Locate the centroid of the shaded area shown
in?g7AHdimensionsareinmeters.
?L 60 1?? {a 1
60
go
Fig. 7
199229] 6 [Co?n'tdm
(b) Determine the forces in all members of the truss
as shown in ?g. 6
2mm .
6 Attempt any one part of the following : 10X1=10
(a)
(i) Astoneisdroppedintoawell andisheard
to strike the water after 4 seconds. Find
the depth of the well if the velocity of sound
is 350 m/s.
(11) Discuss and describe the laws of motion
applied to planar translation and rotation.
(b) Write short notes on :
(i) Principle of work and energy
(it) Law of conservation of energy
(Iii) Law of conservation of linear momentum
(iv) Plane motion of rigid bodies.
7 Attempt any one part ofthe following : lOXI=10
'(a) (i) Discuss the principle of Superposition for
dmgtim.
(i) AneclBaerlong, 20mmwide, 10mmo
?zidtisswjeaedtoapull of20kNinthe
dinctionoflengm Findthechangeein
lmgh, headth, thickness of bar. Take
12 = 2x105 N/mm2 and Poisson's ratio 0.3.'
199229] 7 [Contd...

(b)Atorqueof1kN-misappliedtoa40mm
diameter rod of 3 muz'lengtlh. Detexmine the
maximum shearing stress induced and twist
prodt'lced. Take G = 80 GPa.
199229] 8 ' [ 441m]