1. USN
10ME71
2016
Engineering Economy
Max. Marks:100
Note: 1. Answer FIVE full questions, selecting
at least TWO questions from each part.
2. Use of di,screte interestfoctor table is permitted.
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Time: 3 hrs.
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4 a. Fxplain: (i) MARR, (ii) IRR, (iii) Depreciation.
b. Explain briefly the causes of depreciation.
c. A CNC machine costs {30,00,000 is estimated to
value is estimated to be 2,50,000. Find:
PART _ A
Differentiate between: i) intution and analysis, ii) Tactics and strategy. ,
Briefly explain the law of demand and supply
compounded quarterly ( interpo late if
-nece
ssary).
Explain the future worth method of comparison.
(06 Marks)
(05 Marks)
(06 Marks)
(06 Marks)
(05 Marks)
serve for 8 years after which its salvage
(08 Marks)
(06 Marks)
A loan of {10000 borrowed today under an agreement that t14000 is to be paid sometime
in future. When should the payment be made, if the loan earns interest at a rate of Yo
Two types of trucks ilable fo The details are as follows:of trucks are avarlable tor transooftatron use.
'l he detar
Particulars Truck A Truck B
First cost ({)
Maintenance cost (t) (Annual)
Estimated Salvage value ({)
Estimated life
[0,00,000
20,000
2,0o,ooo
5 years
i5,00,000
15,000
5,00,000
10 years
Both the truck deliver same amount of work. Assume interest rate of 7%. Which truck is to
be preferred on PW case. (10 Marks)
c. A NGO received funds of {10,00,000 from the government for the construction and up keep
of the administration building for 10 years. Annual maintenance and salary of the staff
estimated to be {20000 for the flrst year and likely to increase l0o/o every year upto 10 years.
In addition t25000 needed for painting every 5 years. The NGO has to make own
affangement to earn revenue for perpetual maintenance after 10 years. What amount remains
with NGO for the construction of building if fi% interest considered? (05 Marks)
Write notes on: i) Ownership life, ii),Accounting life, iii) Economic life. (05 Marks)
The flrst cost of an asset is {5,00,000. The annual maintenance in the first year is t2000 and
increases by {1000 every year upto 1Oth year. The annual income is expected to be {50000
in the first year with increase of t25000 every year upto 10th year. The operating cost is
{6000 per year. The salvage value is t30000 at the end of 10tr'year. Find the equivalent
annual cost of the machine at l2oh interest rate. (08 Marks)
,c. An asset was purchased five years ago for t52000. It was expected to have an economic life
of 8 years at which salvage value would be t4000. If the function of the asset would no
longer needed for what price must it be sold now to recover the invested capital when
i) Book value of machine after 4'h and 6th year by declining balance method.
il) Depreciation fund during 6th and 7'h year by SOYD method.
iii) Depreciation charge by straight line method of depreciation. (08 Marks)
1af 2
2. USN
Time: 3 hrs.
2a.
b.
c.
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b.
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Max. Marks:100
(05 Marks)
(07 Marks)
i07 Mar[<s]
(06 Marks)
(06 Marks)
Seventh Sernester B.E. Degree Examination, June/Juty 2015
Hydraulics and Pneumatics
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Determine the volurnetric efficiency of a gear pump of, external diameter and internal
diaraeter of gears 75 mm and 50 mm respectively and width of gear teeth 50 n:m, if the
Note: Answer FIVE fwll Ewestioms, selecting
at least T'WO qwestions fro*w ewch part"
PART _ A
Sketch and explain structure of a hydraulic control system.
Expiain the construction and working of a external gear pun1p.
actual discharge is 30 LFM at 1800 rpm ILPM: Liters per min].
Sketch and explain the working of a swash plate type piston motor.
Sketch and explain double acting cylinder.
Sketch and explain pressure dependent controtr circuit.
Explain the principle of cascade controtr system.
4 a. Sketch and explain the operation of a hydraulic circuit for the controtr of a spring
retum-single acting cylinder. (06 Marks)
b. What is regenerative circuit? Sketch schematically regenerative circuit tc increase the
extension speed of a double acting cylinder. {06 Marks)
c. What are hydraulic accumulators? Sketch and explain dead weight or gravity accurnulator.
(08 Marks)
PART _ B
5 a. What are the desirable propefiies of hydraulic oil? Explain them. (08 Mar[<s]
b. What are the main functions and secondary functions of a reservoir? Classify them.
3 a. Briefly classify valves based on the type of function perforrned.
b. Sketch and explain the constructional features of poppet vaive.
c. Sketch and explain pressure Compensated flow control vaXve.
c. Sketch and explain fuli flow filter.
6 a. What are the characteristics of cornpressed air? Explain ttrrem.
6. Sketch and explain structure of pneumatic control iystem.
c. Sketch and expiain rodless cylinder.
A hydraulic motor has a volumetric displacement of 123 cm3. lf it receives 0.0009 m3/sec of
oil at 50 bars.
Find (i) Speed of the motor (ii) Theoritical torque (iii) Theoretical power of the motor.
(08 Marks)
(04 iVlarks)
(0S Marks)
(8E Marks)
(06 Marks)
(06 Marks)
(06 Marks)
(08 Marks)
(06 Marks)
7 a. What are flow control valves? Draw graphical symbols for F.C.V. (s4 Martcs)
b. Sketch and explain consttuction and principle of operation of a quick exhaust valve.
(08 Marks)
(08 Marks)
(06 Marks)
List advantages of solenoid controlled pilot operated directional control valve. (s4 Marks)
List different types of compressor. Explain with a neat sketch production of compressed air.
(10 Marks)
>f*rk**
3. USN
5a.
b.
c.
10ME,754
2016
Max. Marks:100
Seventh Semester B.E" Degree
Non-Gonventional
Time: 3 hrs.
2a.
b.
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Note: Answer *ny FIVE full. questions, selectiwg
atlesst TWO qwestions from eack part"
PAR,T _ A
a. What are the conventional and non-conventionai energy sources? Explain briefly. (08 Marks)
b. With sketches, explain the production of oil from ail shale and Tar sands. (12 Marks)
Explain the working principle of pyrheliometer with sketctrr.
Define the following terms:
(10 Marks)
(10 Marksi
(r) Latitude
(iv) Hour angle
(ii) Zenith angle
(v) Local apparent time.
(iii) Solar altitude angle
a. Explain beam, diffuse, reflected and total radiation flux on a tilted surface. {07l{arks}
b. Calculate the monthly average hourly radiation falling on a flat-plate collector fa"cing south
(Y: 0) with a slope of 15o, given the following data:
Location : Chennai ( 13" 00' N)
Month: October
t* : Z+Oa kJim2-h
Time : 1 100 - l20ti h (LAI')
Ia : 1073 kJ/tn2-h
Assume ground reflectivity to be 0.2 representative day in October (October 15th) los tttarks)
c. Name the different types of solar thermal power cycles and exptrain any one type with a neat
sketch. (88 Marks)
a. With neat sketch, explain liquid flat-plate collector. (10 Marksi
b. Plot the variation of r. , tu and r with the angle of incidence lirr the follovring covsr system:
Material: Glass
Thickness of each cover : 4 mrn
Extinction coefficient of glass : 15 mr
Number of covers : 2
Refractive index of glass relative to air : 1.52
Angle of incidence : 15"
PART:B
With a sketch, explain principle of working of a solar cell.
With a neat sketch, explain the vertical axis wind machine.
(tr0 Marks)
{SE &,[arks)
{S4 Marks}
A wind turbine generator is designed to produce 3.5 x 106 kWh/year with a plant coeffrcieni
of 0.45. The conversion efficiency is 0.73. The mechanicatr, generator etficiencies are 0.9
and 0.96 respectively. The wind velocity is 45 kmph and air density of 1.185 kg/m3 and a
temp. of 25'C. Calculate the required rotor diameter and power cr:efficient. (08 Manks)
6 a. Explain the harnessing energy in Tidal power plant with a sketch. (sE Marks)
b. With a neat sketch, explain the working principle of OTEC (closed) fhnt. {08 Marks)
c. State the environmental problem associated with geothermal energy conversion. (S4 Marks)
i of2
4. rl
ta.
b.
c.
d.
8a.
b"
What is anaerr:bic digestion?
With a neat sketch, expiain the Indian bio-gas plant.
Write brief note on Energy Plantation.
What are the applications of Bio-gas?
10ME754
(02 Marks)
(10 Marks)
(05 Marks)
(03 Marks)
:-'" (10 Marks)
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What are the clifferent methods of producing hydrogen? Explain any one of them. {10 Marks)
Write brief notes on :
D Transportationoflhydrogen
ir) Storage of hydrogen
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5. 10M8761
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Seventh Semester B.E. Degree Examination, June/Juty 2016
Experirnental $tress Analysis
Time: 3 hrs. Max. l{arks:l0O
Note: Answer FIYE fwlt qaestions, selecting
st least TWO qaestions lronn each part"
EaB.T -,4
1 a. Define gauge factor and derive the equation to deterrnlne the gauge factor for an eleetrical
resistance strain gauge. {ls Marks}
b. Derive the governing equation of potentinmeter used for strain measurement. (trS Marks)
2 a. A two element rectangular rosette is used to cletermine the two principal stresses at a point if
E1 : 860prm/m and E, : -390pn/m taking E : 2A7 GPa ancl Foisson's ratio as 0.3.
Find or and oz. (85 Marks)
b. A delta strain rosette bonded on to the surface of a structural niernber yields the foliowing
strain when the structure is loaded E6 : +500pnVm, 8126 : -250 prnim and Ez+o: +250 prm/rn.
Given K : -0.07 and Vo : 0.285. Deterrnine the magnitude arrd directions of principal
strains and stresses as the point when the strain rosette is bonded. Take E : 80GPa and
Poisson's ratio as 0.3 for the structural member.
3 a. Derive the stress optic law, as applied to two dimensional photoelasticity.
b. Explain the calibration technique used for photoelastic circular disc under
compression.
4 a. List the irnportant properties of an ideal photoelastic material.
b. Determine the individual values of or and 62 using sheor difference rnethod"
PART _ts-
5 a. Explain with neat sketctr, the concept of,stress- freezing method.
b. With the help of neat diagrarn, explain the scattered light polariscope.
6 a. Discuss briefly, Birefiingence coating stresses and explain the isochrornatic and isoclinic
fringe patterns in a tsirefringence coating. (trS Marks)
b, Explain the effect of Poisson's ratio rnismatch. (05 Marks)
USN
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8a.
b.
(15 h{arks}
(trS Marks)
diametrical
(10 Marks)
{10 Marks)
(tr8 Marks)
(1CI Marks)
il0 h{arks)
List and explain types of Brittie coatings.
Discuss briefly the advantages and applications of Brittle coating.
Explain Moir6's method f,or out of plane dispiacement measurement.
(10 Manks)
(n0 N4arl*s)
(10 Marks)
Discuss briefly the advantages and applications of Moird metliod of strain Analysrs.
(tr0 Marks)
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6. 1OME72USN
Seventh Semester B.E. Degree Examination, June/Juty 2016
Mechanical Vibration
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Time: 3 hrs.
la.
b.
c.
Note: Answer FIVE full qaestioms, selecting
at least TWO questions from each pavt"
PART _ A
Define the following terms :
(i) Periodic motion (ii) Degree of flreedom (iii) R.esonance (iv) Fhase difference.
Add the following motion analytically and check the solutions graphically.
(04 Marks)
ilil::ilil".r'.l,hi; -ff:iJil;#i rb*owing Fig er(c) by harrnonic series
(08 Marks)
Deter..rqine the natural frequency of spring mass systerar taking the mass of the spring into
account. {10 Marks)
Set up differential equation for a spring mass damper system and obtain the complete
solution for the under damped condition. (08 Marks)
Derive the equation of motion for the system shown in Fig. Q3(b). If m: 1.5kg,
K:4900N1m, a:6crn, b: l4cm, determine the value of ooC"
for which the system is
critically damped. (86 Marks)
Fig. Q3(b)
Rod is stiff and of
negligible mass
(08 Marks)
2 a. Find out the natural frequency of the system shown in Fig. Q2 (a) by using (i) Newton's
method (ii) Energy method. (trO Marks)
Fig. Q2(a)
b.
3a.
'b.
Fig. Q1(c)
I of3
7. . 10iM872
In a spring mass system, the mass of 10kg rnakes 40 oscillations ln 20 seconds without
damper. Wilh damper, the amplitude decreases to 0.20 of the original value after 5
oscillations. Find out (i) stiffness of the spring (ii) Logarithmic decrement (iii) Damping
factor (iv) Actual damping coefficient. 106 Marks)
Define the term "Transmissibility", and derive the expression for transmissibility ratio due
li h1:il#'"iir??li?J; is acted upon by an external force 2450N at a frequener;#l#ill?
To reduce the effects of vibration, isolator of rubber having a static deflection of 2mm under
the machine load and an estirnated darnping factor of 0.2 are used. Determine:
i) Force transmitted to the foundation
ir) Amplitude of vibration of the machine
iii) Phase lag of the transmitted force with respect to the external force.
PART _ B
Discuss the principtre of operation oEli6Giiter and an accelerometer. Draw the relevanr
frequency response curve (10 Marks)
4a.
b.
5a.
b.
6a.
b.
A shaft 1.5rn long is supported in flexible bearing at the ends carries a wheel of 50kg mass
at a distance 0.375rn from the left hand side bearing. The shaft is holtrow of external
diameter 75n',rm and intemal diameter 40mm. the density of the shaft material is 7.7 Mg/m3
and its modulus of elasticity is 200GN/m2. Find the whirling speed of shaft, taking into
(12 Marks)
(10 Marks)
absorber with
(10 Marks)
Also draw the mode shapes
(tr0 Marks)
account the mass of the shafc.
what is dynamic vibration absorber? Expiain briefly the dynamic vibration
diagrarn and equations.
Find the natural ftequencies of the system shown in Fig. e6(b).
and locate the node.
Fis. Q6(b)
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Seventh Semester B.E. Degree
Operations
Time: 3 hrs"
Research
10M874
Max. Marks:100
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A cargo
compartr
Note: Answer any FIVE full questions, selecting
atleast TWO questions.from eack part.
PART _ A
plane has 3 compartments for storing cargo: front, centre and rear. These
nts have the followine limits on both wei ht and
Furthermore, the
proportion of that
weight of the cargo in the respective compartrnents must be the sarne
compartment's weight capacity to maintain the lbalance of the plane. The
(12 Marks)
la.
following four ca are avarlable tor sh on the next tlisht:
Carso Weisht (Tonnes) Volume (Cubic meters) Profit (fiTonne)
Cr IB 480 310
Cz 15 65CI 380
Cr /.J 580 35f)
L.4 t2 390 285
Any proportion of these cargoes can be accepted. The objective is to determine how much of
each cargo Cr , Cz , C3 and C+ shouid be accepted and how to distribute each amcng the
compartments so that the total profit for the flight is maximized.
Formulate the above problern as a linear program.
Solve the following problem using graphical method.
Maximize Z:2xr * 3xz
Subject to 2x1 + xz < 6
. X1 -xz> 3
X1,X2)Q
$olve the following linear programming problem using simplex method.
Maximize Z: 6000xr + 4000x2
Subject to 4x1 + 3xz < 350
2x1* xz < 160
2xt*3xz<300
X1,x2)0
Solve by dual simplex method the following problem.
Minimize Z = 2x1* 2xzt 4xt
Subiect to 2x1 * 3x2 * 5xr > 2
3x1 +1r+74<3
*4xzf6x3<5
Xl,X2,X:)0
(10 Nlarksi
(10 Marks)
TIIE ve [rg ilIlllts ()II w€ ce.
Compartment Weieht capacity (in Tonnes) Space capacitv (in cubic meters)
Front t0 6800
Centre to 8700
Rear 8 5300
I of3
(08 Marks)
9. 1oME,74
3 a. ,4. product is produced by four factories A, B, C & D. The unit production counts in them are
A - 50 units; E - 70 units; C - 30 units and D - 50 units. These factories supply the
product to four stores, demands of which arc25,35, i05 and 20 units respectively. Unit
transport cost in Rupees from each factory to each store is given below.
1234
A
DD
I
D
Determine the extent of deliveries &om each factory to each of the stores so that the total
production and transportation cost is minimune. (12 Marks)
Four new machines Mi, Mz, M: & Ma are to be installed in a machine shop. There are five
vacant places A, B, C, D & E. Because of limited place, machine M2 cannot be placed at C
and M3 cannot be placed at A. C; , the assignment cost of mactiine i to place j in <ioilars is
shown'elow
A B c I) E
Mr
Mz
M,r
M+
Find the optimun'l assignment scheduie.
Solve the foilowing using Gomory's cutting plane algorithm.
V{axirnize Z:20000xr + 30000x2
Sub.jectto 2x1*x2<6 i xr+2x2<8; x1 -x2<l ;
)11 , K2 ) 0 and are integers"
(08 Marks)
xt</
(20 Marks)
PART _ B
5 a. A project schedule has the follo characteric wmg cnaracterffitlcs:
Activitrr Time (Weeks) Activity Time (Weeks)
I' A,
5-6 4
ta
I --1 I <-7 8
A
L -.-* 1 5-8 1
2.A 1
1AI -U 2
1F
J-J 5 8-i0 5
4-9 5 9- 10 7
i) Construct the network and compute E & L f,or each event"
iil Find the critical path and project duration.
b.
6a.
b"
What are the characteristics of a project? Also define the FERT and crashing cost.
Define five operating characteristics of a queueing system.
(12 Marks)
(08 Marks)
(10 Marks)
A self-service store enrploys one cashier at its counter. Nine custorners arrive on an average
every 5 minutes while the cashier can serve i0 customers"in 5 minutes. Assurning Poisson
distribution for an-ival rate and exponential distribution ttrr service time, find
D Average no. of custorners in the systern.
ii) Average no. of customers in the queue.
iii) Average tirne a custoffier spends in the system.
iv) Average time a customer waits before being served.
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(10 Marks)
10. ':."--4'
1 a. Reduce the following garne by dominance and find the gam#te.a[ue-t-'
'
Player B
1234
10M874
(10 Marks)
(10 Marks)
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b. Solve the following game by the graphical method.
Player B
1234
Player 1
A2
8 a. Six jobs A, B, C,
Assuming that no
qi
D, E & F have ar"rived at one time to be processed on a single machine.
w.jobs arrive thereafter, determine
Job A tsi C D E F
Processing Time (in minutes) 7 6 8 4 J 5
i) Optimal sequence as per SPT rule
ii) Cornpletion time of the jobs
iii) Mean flow time
iv) Avg. in process inventory.
b. There are seven jobs, each ofwhi.h has to go through the
Processing times in hours are gi
Determine a sequence of these jobs that will
idle time for bbth the machines.
(08 Marks)
rnachines A & B in the order AB.
minimize the total elapsed time. Also find the
(12 N{arks)
t
J 2 4 0
a
J 4 2 4
4 2 4 0
0 4 0 8
J
a
J 4 0
5 4 J 7
are glven as
.Iotr 2 J 4 5 A 7
Machine A J 12 15 6 t0 ll 9
Machine B 8 10 t0 6 t2 I .,
3 of3