7th Semester Mechanical Engineering (Dec-2015; Jan-2016) Question Papers

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USN t0N{E72
using energy method.
(06 Marks)
(07 Marks)
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Seventh Semester B.E. Degree Examination, Dec.2015 lJan.20l6
Mechanical Vibrations
3 hrs. Max. Marks:100
Answer any FIVE full questions, selecting atleust TWO questions from each parl
PART - A
Add the following harmonic motion and check the solution graphically :
xr : 2cos (wt + 0.5) xz : 5sin (wt + 1.0). (10 Marks)
Represent the periodic motion given in the following fig.Q1(b) by harmoni. r.rr.r,r,
Marks)
Fig.Q1(b)
Determine the natural frequency of undamped free vibration system
Determine the natural frequency of the system shown in fig. Q2(b).
'R' and mass 'm' is pivoted freely about the center as shown
natural frequency of oscillation for small displacement. Use
(07 NIarks)
Fig.Q2(c)
A spring mass damper system consists of a spring of stiffiress 343N/m. The mass is 3.43kg.
The mass is displaced 20mm beyond the equilibrium position and released.
Find the equation of motion for the system, if the damping coefficient of the dash pot is
13.72N - sec/m. (10 Marks)
A spring mass damper system is having a mass of 1Okg and a spring of such stiffness which
causes a static deflection of 5mm. The amplitude of vibration reduces to t/+
the initial value
in 10 oscillations, determine i) Logarithmic decrement ii) Actual damping present in
the system iii) Damped natural frequency. (10 Marks)
Define "transmissibility". Derive an expression for motion transmissibility. (10 Marks)
A machine of mass 500kg is supported on spring of stiffrress 106N/m. if the machine has a
rotating unbalance of 0.25 Kg-m, determine i) The force transmitted to the floor at 1200
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rpm ii) The dynamic amplitude at this speed iii) The phase angle.
1 of2
Fig.Q2(b)
A semicircular disc of radius
in fig. Q2(c). Dltermine its
energy methsd.
4a.
b.
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(10 Marks)

2. a.
b.
L0N.IE72
PART - B
Mention the instruments used to measute displacement and acceleration. Discuss the
relevant frequency response curves. (10 Marks)
A rotor of mass 12 kg is mounted midway on a25mm diameter horizontal shaft supported_at
the ends by two bearings. The span between the bearing is 900mm. Because of sotiie,
manufacturing defect the Cg of the rotor is 0.02mm away from geometric centre of rotor. If
the system rotates at 3000 rpm, determine the amplitude of steady state vibrations and
dlmamic force on the bearing. Take E:200Gpa. (l0,Marks)
a. For the system shown in fig. Q6(a), i) Derive the equation of motion ii; Sitr,rp'frequency
equation and obtain natural frequencies of the system iii) Obmin:modal vectors
iv) Draw mode shapes. Neglect the inertia of wheels and friction between wheel and
surface. (12 Marks)
Fie.Q6(a)
a.
b. Explain the principle of undamped dynamic vibration absorbers. Obtain
It ro, main mass ,nd
X' for absorber mass.
X" x"
frequency of vibration
L96 x 1orr N/m2 .r:4 x)''fn,= toDkq
ct
Fig.Q7(a)
Using Stodola's method, determine the fundamental mode
frequency ofthe spring mass system shown in fig. Q7(b).
Find the lowest natural
Rayleigh's method. E -
for the system shown
10-7 ma.
an expression for
(08 Marks)
in Fig. Q7(a), by
(08 Marks)
b. of vibration and its natural
(12 Marks)
Fig.Q7(b)
Explain the rold of i) Exciter ii) Transducer iii) Signal conditioner and
iv) Analyzer used in experimental modal analysis. (08 Marks)
Explain briefly dlmamic testing of machines. (04 Marks)
Describe the three types of maintenance schemes given below :
i) Break down maintenance ii) Preventive maintenance iii) Condition based
maintenance. (08 Marks)
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b.

3. USN 10ME71
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Seventh Semester B.E. Degree Examination, Dec.2015 lJan.20l6
Time: 3 hrs.
Engineering Economy
Max. Marks:100
Note: l. Answer any FIVE full qaestions, selecting
atleust TWO questions from each part
2. fnterest tables are allowed r1[* *
PART - A
a. With an example, explain problem solving process. y',.. ,:,. (06 Marks)
b. Sketch and explain cash flow diagram for borrower's and lender's poiht.bf view. (06 Marks)
c. A person is planning for his retired life. He has 10 more years gtqerrrice. He would like to
deposit 20o/o of his salary, which is { 4,000/- in the first yeqhfu thereafter he wishes to
deposit with an annual increase of t 500/ - for the next ggearlwith interest rate of 15Yo.
Find the total amount at the end of 1Oth year of the above series. (08 Marks)
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b.
List the conditions for the present worth comparisonSi
lnvestment proposals A and B have the net cash _flow"'ffven below :
(04 Marks)
(08 Marks)
Proposal
End of Years
0 2 3 4
A ({) -10.000 3,000 3,000 7,000 6,000
B (<) -10,000 6,000 6.000 3,000 3,000
Compare the present worth of A and'B'at i : 18oh and which proposal should be selected.
Two motor bikes of brand 'X' and 'Y' are available on the following conditions :
i) Motorbike 'X'- Make a.down pal.rnent of t 5.000 l- and then { 6.0001- at the end of
each year for 7 years. :
ii) Motor bike 'Y' - Malte h down paynent of t 15.000 l- and no payment for the next 4
years. At the end o{ffi,' 6'h and 7h year. Payments of t 12,000/- is made. compare the
future worth
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'X' and 'Y' at an interest rate of l0o/o. (08 Marks)
Define the folld'$i4liig : i) Ownership life ii) Economic life. (04 Marks)
Two modelqp.f small machines perform the same function. Type I machine has a low initial
cost of{,9J00/- and relatively high operating costs of t 1,900/- year more than those of
t 25,t00/- and can be kept in service economically for 8 y"ui.. Which machine is preferred
ivhad the MARR is 8% using Equivalent Annual cost method? t08 Marks)
A company invests in one of the two mutually exclusive altematives. The life of both
alternatives is estimated to be 5 ith the followine cash flows : (08 Marks)wl[n rne rollowm
Cash flows
Altemative
A B
Investment ({) 1.5 lakhs t.75 lakhs
Annual return ({) 60.000 70,000
Salvage value ({) 15.000 35,000
Detetmine the best altemative based on the annual equivalent method by assumin g i: 25%.
Define MARR,IRR and ERR.
Define the term depreciation and what are the causes for it.
Net cash flows for the business proposal are given below. Calculate the rate of return for the
Year 0 I 2 -') 4 5
Cash flow ({) -10.000 3,000 1 000 3,000 3,000 3,000
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3a.
b.
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b.
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(03 Marks)
(04 Marks)
new business. (05 Marks)

4. d.
a.
t0ME71
A CNC machine costs { 30,00,000 is estimated to serve for 8 years after which its salvage
value is { 2,50,000. Calculate i) Depreciation fund atthe end of 5th yearby straight line
method and declining balance method.
ii) Book value of the machine after 4'h and 6th year by declining balance method. (08 Marks)
.'it
Listandbrieflyexplaindifferent.,"-.,ffirequiredforfindingsellingpriceofthe
product. (06 Marks)
b. A ceftain piece of work is produced by a firm in batches of 100. The Direct material cost for
the batch is t 160 and Direct labour cost is < 200. Factory on cost is 35o/o of the total
material and labour cost. Overhead charges are20o/o of the factory cost. Calculate the Prime
cost and factory cost, if the management wants to make a profit "of 10% of total cost,
determine the selling price of each article. (06 Marks)
c. A C.I stepped cone pulley is shown in fig. Q5(c).Method c,oSS; t 20lkg. Calculate the
material cost of Pulley by assuming density of C.I :7 .209 gm/i.c. (08 Marks)
Fig.Qs(c)
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All dimensions are in mm.
31't Dec 2013 is given below :
6a.
b.
c.
h.
What is Joumal and ledger? Explain with a sffftable example.
List the important differences betweeu"balance sheet and profit / loss account.
A company 'Z' has certain reselves and surplus as per the details given below
March 2014. (Amounts are in
Dividend Pavable 72,000 Debtors r,60,000
Bank balance 10.000 Bills Pavable 20.000
Equitv shares 2,00,000 Plant & Eouioment 80,000
Provision for taxes 40,000 Bills receivable 20,000
Stock 77.000 Creditors 55,000
Preference shares 1.35.000 General reserve 40.000
Land & buildine 2,00,000 Cash in hand 15,000
Prepare a balance sheet for the company Z as on 3l
o
March 2014.
List qil(explain different types of ratios used for financial statement analysis.
A {nffifiny ABC is presented a balance sheet as on 31't Dec 2013 is given be
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(06 Marks)
(06 Marks)
as on 3 l't
(08 Marks)
(10 Marks)ta.
b. ts presen AS ON J 1 DEg ZUIJ 15
Liabilities Amount ({) Assets Amount (t)
Creditors 20.000 Cash at bank 15,380
Bills oavable 12.750 Trade debtors 11.260
Debentures 1.00.000 Stock in hand 56,160
Reserves 67.250. Fixed assets 2.t7.200
Share caoital I,00,000
Net sales - { 1,80,000 ; Netprofit- < 16,000
Calculate i) Current ratio ii) Operating ratio
iv) Proprietary ratio v) Debtor's turnover ratio.
List the important objectives ofprofit planning.
Explain different types of budgets.
Write a brief note on bench marking in manufacturing.
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)
iii)
Grossprofit-<40,000.
Gross profit ratio
8a.
b.
c.
(10 Marks)
(06 Marks)
(10 Marks)
(04 Marks)

5. 1oME73USN
SeventhSemesterB.E.Degreen,ffin,Dec.2015/Jan.2ol6
, Hydraulics & Pneumatics
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E Time: 3 hrs. Max. t *otjl,-*p:'
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S: I a. With a neat sketch, explain the hydraulic circuit and the laws pluge&*q''i{dvelop the circuit.
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ii' (08Marks)
E ff b. Explain the working and design of a vane pump. .i .* ,
- (07 Marks)
:gr+ c. A pump has a displacement volume of 120cm'. It delivers 1.5.r*{,{"d-3 m3/s at 1440 RPM and
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$ 60 bar. If the prime mover input torque is 130 N-m and ov-erall efficiency 88%, find
E a, Qo - theoretical discharge of the pump i rl,,- Volumetuib€fficiency of the pump
3 E t1- - Mechanical efficiency of the pump I Tlo - overa*l| efficiency. (05 Marks)E9
oB
frr1,...,?.,,,d. With a neat sketch, derive the expression foq{irqt class lever systemused with hydraulic
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; 'E cylinder to drive load. ,lr';
. (07 Marks)
E B b. A pump supplies oil at 0.0016 m3/s at a 40rM diameter double acting hydraulic cylinder. If
E S the load is 500N and the rod dia is 2O{firdfind i) cylinder KW power during the extending
SE stroke ii) cylinder KW powq$ring the retraction stroke iir) pressure during$G'
t 5 extension and retraction stroke ".*t-iv) piston velocity during extension and retraction
EE stroke. l.%d' ' r J Q
(osMarks)
t I c. A hydraulic cylinder has ta#&re a table of weight 13kN. Speed of the cylinder is to be
E : accelerated upto a velocffib.t:oy. in 0.5 seconds and brought to a stop within a distance
E$ of 0.02m. Aisume.p"$[ft.i.rt of sliding friction as 0.15 and cylind"ibor. diameter as
E 5 50mm. Calculate the surge pressure. (08 Marks)
a.2
0E ;",
a € 3 a. Write the syffidfiS representing various center flow paths for two position four way valves.
F E (06 Marks)
a # b. Explainffierational features of the compound pressure relief valve. (08 Marks)
S $ c. Explaffi.,the construction and operation of a simple needle valve and also explain the
E * expfussion for the flow rate through flow control valve. (06 Marks)
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i a 4 a. Explain the concept of Meter in and Meter out circuit. List the advantages and limitations of
: ..1 each of the circuit. (12 Marks)i al q.m
; srffilb. Explain regenerative circuit with a neat diagram and deduce regenerative speed of the
E ^.*ft
' cylinder. (08 Marks)
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5 a. What are the various functions performed by the hydraulic fluid and list its desirable
properties and types of hydraulic fluid. (10 Marks)
b. Explain Beta ratio and Beta efficiency. (04 Marks)
c. Explain the common location of mounting filters in the hydraulic system. (06 Marks)
I of2

6. 1oME73
a. Explain the laws for a perfect gas that governs the compressible nature of air. (06 Marks)
b. Explain the basic structure of pneumatic system with its components. (06 Marks)
c. Explain briefly with a neat sketch 312 way spool type direction control valve. (08 Marko
,*W
a. Explain a typical pneumatic circuit with OR logic using shuttle valve. (lA$tffkO
b. With a neat diagram, explain the construction and the functioning of the spool ffite or
quick exhaust valve employed in pneumatic system. ffi SfO
Marks)
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a. With a the neat circuit diagranl explain Electropneumatic control 4e touble acting
cylinder using a 412 solonoid acfuated spring retum cylinder. ^&-,
(10 Marks)
b. Explain the cylinder pneumatic circuit and its motion control diagraqffi (10 Marks)
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7. USN
ffi 10ME74
Seventh Semester B.E. Degree Examination, Dec.2015 lJan.20l6
Operations Research
Time: 3 hrs. Max. Marks:,lffi
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Note: 7. Answer any FIWfull questions, selecting ,.*Ur-
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c, n
atleast TWO questions from each part.
€ 2. (Ise of Normal distribution tables is permitted.
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E L a. The following are the two constraints for the LPP under consideration:
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g x1-x2)l; *a2)J'andxr,xz)0
E R using the graphical method, answer the following questions:b0: e Q --r-------
SE D What are the extreme points for the feasible region?
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ii) If the problem has an objective function, maximize z' : 3xr -r xz , what is the optimal
=ia"*,, point?
troo
:E R iii) If the problem has an objective function, minimize z : 3x1 t x2 t what is the optimal
H ; point. (10 Marks)
i H b. Solve the following problem using graphical method maximize Z: 2x1 + 3x2
;E Subjecttoconstraints:2xr +W<6 ; Xr-Xz>3 ; xr ,xz)O (06Marks)
A A c. List any four characteristics of a good model. (04 Marks)
AS lr
str ';
; € 2 a. Solve the following LPP UV E& ivl method.
*i Maximize Z:3booox, {Zpdoo*,rB- A r*uw
F5 Subjectto: x2(x1 +.3*W xz36; x2>2; xr1_2xz<18;
E E 2x1 + *,5M and X1 , x2 ) Q (14 Marks)
ts E b. Write the dual for the iollowing primal.
fi: Minimize z;xiffinxr + 35000x2
E & Subject to*:-,f0xr + 60>t-:2500; 80xr + 60xz > 3000 ; 100xr + 20Oxz> 7000
E S Non-neg*ffiiy constraints : Xr , xz ) 0 (06 Marks)
; 5 *"o.
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[ € 3 a. aAffit is produced by four factories A, B, C & D. The unit production costs in them are
E E *W, {1 and {5 respectively. Their production capacities are: Factory A : 50 units ; B : 70
ii ,*ffiits ; C : 30 units and D : 50 units. These factories supply the product to four stores, the
S ;0 n u demand ofwhichare25,35, 105 and,20 units respectively. Unit transportation cost in rupees'E q a*1
flE .dry% from each factory to each store is given in the table below.
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g Factories BIl0 lalzlsl
z c fBTiTtffiL I I I I
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X Determine the extent of deliveries from each of the factories to each of the stores so that the
S total production and transportation cost is minimum. (12 Marks)
| 23 4
2 4 6 t1
10 8 7 5
13 J 9 t2
4 6 8 J
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8. 10M874
b. Four machines Mr , M2 , M: and lVIa are to be installed in a machine shop. There are five
vacant places A, B, C, D and E. Owing to the limitations machine Mz cannot be placed at C
and M3 cannot be placed at A. The assignment cost of machine i to place j in rupees (1000)
is shown below.
A
Mr
Mz
M3
M4
Find the optimal assignment schedule.
Solve the below given integer programming problem:
Maximize Z: 4xr * 6x21- 2x3
Subject to 4xt - 4xz < 5
-xt * 6xz<5
-xt*xzfx:<5 -"
xl , x2, x: ) 0 and X1 , X3 are integers. 'ilihr
(20 Marks)
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(08 Marks)
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Following data fer
a. Draw the network diagram
b. Find out the ES, EF, LS, LF and slack for each activity.
c. Find out the variance and standard deviation for the critical path.
d. Determine the probability of completing the project in 24 hrs.
Mention and discuss seven elements of a queing system.
Defne : (i) Balking (ii) Renegging (iii) Jockeying
(20 Marks)
(07 Marks)
(03 Marks)
On an average 96 patients per 24 - hours day require the service of an emergency clinic. On
an average a patient requires 10 minutes of active attention. The facility can handle only one
emergency at a time. Suppose that il costs the clinic {100 per patient treated to obtain an
averaging service time of 10 minutes and that each minute of decrease in this average time
would cost the clinic 110 per patient treated. How much would have to be budgeted by the
clinic to decrease the average queue size from 1l patient, ,o I patient?
3' 2'
4 6 10 5 6
7 4 5 4
6 9 6 2
9 J 7 2
1
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Activity Immediate
Predecessor-
QFt{mistic
%!neb (Hrs)
Most likely
Time(Hrs)
Pessimistic
Time (Hrs)
A
B
C
D
A
A
4
1
J
4
6
4.5
a
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5
8
5
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6
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F
G
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6
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7
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K
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D,H
G, I
2
2.5
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5
2.75
5
8
4.5
7
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(10 Marks)

9. ffi " .i: i,.$i,;.:{.it fJl: rilltr(
10ME74
7a.
b.
What are the characteristics of games?
Solve the following game by the dominance rule.
(04 Marks)
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by simplex / Big-M method? If yes,
(08 Marks)
arl 12 -8
b:
1
3
2
azl 6 7
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B's stra
A's Strategy
Can we formulate the above game as LPP and solve it
discuss how?
Solve the following game using graphical approach:
B's Strategy
bqb:bzbr
A's Strategy ar8
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Processi rme (Hours
Job Machine
I II ru
A'q J 4 6
H""- 8 3 7
,i:rqe 7 2 5
5- D 4 5 11
E 9 I 5
F 8 4 6
G 7 J t2
(10 Marks)
is the supervisor of legal-copy-express, which provides copy services for
Los Angeles law firms. Five customers submitted their orders at the beginning ofr-os Angcrcs raw rrms. rlve cuslomers suomrfteo tner oroers at tne Degmnmg oI
and are as follows. Schedule the jobs as per i) EDD rule ii) SPT rule and
Job 0n order of arrival ) A B C D E
Processins Time (Davs) a
J 4 6 2 1
Due date (Davs hence) 5 6 7 9 2
(10 Marks)
**x**
5 -7 9
6 4 -2
(08 Marks)
8 a. You are given the following data regarding the processing times of some jobs on three
machines I, II and III. The order of processingris I - II - III. Determine the sequence that
minimizes the total elapsed time required tg"complete all the jobs. Mention clearly the total
elapsed time and the idle time of machine Il'aad III.
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10. USN
10M8761
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Seventh Sernester B.E. Degree Examination, In, Dec.2015/Jan.2016
Experimenta! Stress Analysfis
Time: 3 hrs. Ir4ax" Marks:100
Note: . Answer *ny FIYE full questions, selecting utlesst TWO qwestiows frowc each parl
PART - A
I a. Derive an expression for the gauge factor of an electrical conductlor of length tr-, cross
sectional area A, resistance R and resistivity p. Why for sorne materials the valu"e of the
gauge factor is away from the notmal value of 2.0? (10 Marks)
b. Expiain with a neat sketch : i) Bonded wire strain gauge ii) ,Veldabie strain gauge.
(10 Marks)
a. Define a strain rosette and mention the different types of strain rosette conf,iguration.
(08 Marks)
b. The following readings of strain were obtained on a rectangr*lar strain rosette mounted on
aluminium for which E : 70 GPa, () : A32, eu : 285 * 10-6, €b : 65 x 10-",
e.: 102 x 106. Determine the principal strains, principal strain direction, piincipatr stresses
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and maximum shear stress.
Derive stress optic law in two dimensional photoelasticity.
{tr2 Marks}
(10 Marks)3a.
b.
5a.
h
8a.
b.
Explain the method of calibration ofphoto elastic model material usirrg atension specimen.
{i0 Marks)
a. List the commonly used stress separation techniques. Expllain shear dit-ference meihod.
(X0 &larks)
b. Wtrat are the properties of 2D photo elastic model materials and material for 2I) photo
elasticity? (to &'xarks)
b.
b.
PART _ B
Describe the phenomenon of scattered light as polarizer. (nCI Marks)
What is the difference between transmitted type photoelasticibr and scattered light
photoelasticity? (ls Marks)
i) Explain the biflingent eoating method. (82 &larks)
ii) Derive an expression for stresses and strain in ttre specimen in terms of coating ttrickness.
(08 Marks)
Explain the working of a reflection polariscope. (x0 Marks)
Explain the principle of brittle coating technique and enurmerate the advantages and
disadvantages. (X0 Marks)
Describe the calibration method generally used for brittle coatings. How true threshold
strains can be determined by tliis method? (trO Marks)
Expiain briefly the mechanism of formation of moird fringes. (trS Marks)
Explain with a neat sketch, the dispiacement field approach to moird - &inge analysis.
(tr0 Marks)
a.
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11. USN
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Non * Gonvrentional Energy Sources
Time: 3 hrs. |"{ax" Marks:100
Note: Amswer any FIVE full questions, selecting atleast TWO questions froan each parL
PABT . A
a. Explain Tar sands and oil shale as energy soLrrces and also rnention their limittrions"
(10 Marks)
b. What is the need for altemate energy sources? Explain by considering solar enorgy.
, (05 Marks)
c. Discuss the limitations ofnon - conventional sources of ereergy.
a. Define the following : i) Latitude ii) Declination angle
b. With a neat sketch, explain the working ofpyranometer.
c. Write short notes on spectral distribution of extra terrestrial radiation.
i r
,r (05 Marks)
iii) Surface azimuth angle
(tr0 h'Xarks)
({15 Marks)
([t5 Marks]
i In : 10'13 klln:2 -b.
(10 N{arks)
(06 Marks)
(04 Ftarks)
(86 Marks)
interface of
(08 Marks)
(05 &€arks)
(88 Marks)
(CI6 Marks)
(06 Marks)
a. Calcuiate the monthly aveaage hourly radiation failing on a flat plate collecior facing south
(y: 00) with a slope of i50. given the following data :
Locatiorr : Chennai (130 00'N) ; Monrh : October ;
Time : 1100 to 1200 (LAT) ; 1, : 24O8kJlm2 -h
AssLlme ground reflectivity to be 0.2.
b. Deseribe solar pond for solar energy collection and storage"
c. Explain how solar energy can be used for drying, with a neat sketch.
a. Explain briefly the parameters affecting the performance of flat p,late collecton;.
b. Derive the expression for transmissivity based on reflection - refraction at ttLe
two media.
c. Write shoft notes on collector efficiency factor and collector heat removal fact,cr
PART - B
Describethe main considerations in r.t..'lilgth. uite for wind generatoffi.
Explail with a neat sketch, the working of a photo - voltaic cell. Dravv I - V characteristics.
c. With a neat sketch, explain the horizontal axis wind machine.
a. With a neat sketch and T- S diagram, explain the concept of liquid dorninated total flow
system of generating geothennal energy. (SB Wfarks)
b. Explain with a neat sketch, the working principle of ctrosed cycle OTEC plant. (s6 Marks)
c. Sketch and expiain single basin type tidal power plant operation. (sf Mae"ks)
a. Expiain the process of photosyhthesis. What are the conditir:ns which are ftecessary for it?
(S6 Marks)
List the factors affecting bio gas generation. (04 Marks)
Sketch and explain the working of floating gas holder type biogas plant used in lndia (KVIC
pla::lt). (1{} Marks)
Explain the process of electrolytic production of hydrogen, with a neat sketch. (CIE Marks)
Explain briefly the different rnethods of hydrogen storage. (G6 Marks)
Describe how hydrogen can be used as an alternative fuel for motor vehicles. (06 Marks)
gg&J-&
k
8a.
b.