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USN
Time: 3 hrs.
1OME71
Max. Marks:100
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Seventh Semester B.E. Degree Examination, Dec.2013 / Jzn.2O14Engineering Economy
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Note: l. Answer any FIVE full questions, selectingatlesst Tl,yO questionsfrom each part.
2. Use of discrete interest tables is permitted.PART - A
Distinguish between strategy and tactics with suitable examples.,,Explain the law of demand and supply with suitable example.Determine the effective interest rate for a nominal annual rate of 6% thati) S,errf - annually ii) Quarterly iii) Monthly iv) Daily.
,,..,d. A peisgn:invests a sum of Rs 50,000/- in a Nationalized Bank at a Nominal
after 15 Veari?,.
State the conditisns for present worth comparisons.
13% foi 15,,::/e&rs. The compounding is monthly. Findthe matufity amount of the deposit
Determine the equivalent present worth of the following series of year andextending over 8 yeais rising
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annual interest rate of 20o/o.
i:20%Fig.Q2(b)
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What do you understand by present worth by T2 rule? (03 Marks)An Entrepreneurs intending to stalt a New Business knows that the lnst few years are themost difficult. To Lessen the chance of failure b loan plan for start up capital is proposed inwhich interest paid during the first two years *ill be at 3%o, 60/o. For the next 2 years if 12%For the last 2 years of the 6 years loan. How la,rge a loan can be justified for proposedrepayments at the end of 2, 4 and 6 respectively foi Rs20,000/- , Rs 30,000 and Rs 50,000/-lor 2nd . 4'h and 6'h year respectively. (07 Marks)
c.d.
b.
cost estiuratibn has been obtained. Determine the Annual Equivalent the twosystem$,' s€lect the besj:eUS4g1 )
Cost Particulars Aloha BetaPurchase price Rs 10,0001 Rs 25,0001Estimated service life 5 vears 9 vears
Salvase value Rs 3,000/- Rs 5,000/-Annual operatins cost Rs 2500/- Rs 1200/-
A Conventional Agricultural Equipment has a service of 6 years.
equipment is 50% costlier than the conventional one but has manyoperating costs of both these equipment are almost same and salvage value is negligible.What will be the service life of the New equipment that makes its cost comparable to that of
Two types of power converter Alpha and Beta are under considerationapplication. An economic comparison is to be made at an intg1-sSt rate of
the conventional one at r: ljoh?
Define the following terms : i) MARR ii) IRRExplain the causes for depreciation.
iii) ERR.
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4a.b.c. An XYZ company has purchased an equipment whose first cost is Rs 2,00,000 with an
estimated life of 8 years. The estimated salvage value of the equipment is Rs 40,000 at theend of its life time. Determine the depreciation charge and book value at the end of various
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years using SOYD method. (08 Marks)
5a.b.c.
PART - BWhat are the different elements of cost? Explain.D ifTere nt iate between e stimat io n and co sting.
10M871
(04 Marks)(04 Marks)
From the following data related to manufacturing a standard product for the month of Sept -2012, prepare a statement showing the cost and profit per unit.
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l. Raw Material used : 40.000 2. Direct wages :24,0003. Machine hours worked : 9,500 hrs 4. Machine hour rate @ Rs 4/tr5. Office overhead 20Yo of works cost 6. Selling overhead @ Rs l/unit7. Units produced: 20,000 8. Units sold 18,000 @, Rs 10/unit. (12 Marks)
. W,hat do you understand by the following Financial termsi) Fieferential shares iD Assets iiD Liabilities iv) Sundry debtors v) Sundrycreditois, (10 Marks)Following,,is the Financial status of a company as on 3l't March"2005, prepare a Balancesheet as on,3,]" March 2005. (10 Marks)
Particulars Amount (Rs),,
Cash in hand 22,000Sundry debtors 10.0ffi, i,
Bank loan's 40;000.Bill's navable 2CI$00,Ehuitv shares t,13.000Land & Buildinss 50,000Plarit &Machinerv 90,000Inventories 1s.000Creditors: 30.000Bank Balances 16,000
a. What is a Financial Ratio? E*ptain Liquidity and Solvency ratio's, mentioning theirsignificance. t.,,'1,,'-' ''""".,,:;rt (10 Marks)
b. Calculate the Current A$s€ts of XYZ company, with the-following information.D Stock turnover : 5 times ii) Stock at the dffi : 5000 more than the stock at thebeginning iii) Sales : Rs 2,00,000/- iv) Gross profi! ratio:20o/o v) Curent
a. Briefly exptetrh the objectives of profit planning. "-l11r"" (05 Marks)b. On 2006:Jhiie Abhilash Enterprises has Rs 10,000 cash balance. The expected sales are to
the.valUe of Rs 7,0001-, Rs 12,000/- and Rs 15,000/- respectively. It ii estimated that thed'is5r*r'ibment is to be made in 3 months are Rs 15,000/- , Rs 16,000/- and Rs 12,000/-.,W'henever a shortage occurs Bank loan is assumed to be raised to a value of Rs 5.000/-.
r -:Prepare a cash budget and show the cash balance at the beginning of September: (08 Marks)
o. Prepare a purchase budget from the following particulars when the estimated:prioelkg isX-Rs2 .Y -Rs3,Z-Rs4
Materials Estimated consumption of Materials in kssxYZ
1,00,0002,00,0002,50,000
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a.
Materials Stock at the Besinnins Stock at the end EstimatedXYZ
30,00040,00045.000
15,00020,000s0.000
(07 Marks)
USN t0nllB72
Seventh Semester B.E. Degree Examination, Dec. 20l3lJan.2Ol4Mechanical Vibrations
Time: 3 hrs. Max. Marks:100N ote : a y w y-!!,(r fu il,
1 u estj on s, s e I yct i n g.
otleast TWO questions from each part.
PART _ APART _ A
I a. With a sketch, explain the beats phenomenon and obtain its resultant motion. (10 Marks)
b. If x(t): uo + Lancosnwt*IU"cosnwt, where x(t) us apefiodic, nonharmonic, obtainn=l n=l
expressions for a6, all and bp. (10 Marks)
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2 a. What is the effect of mass of a spring on its natural frequency? Derive.b. Find the natural frequencies of Fig. Q2(b).
, Fig. Q2(b)
For an under dar'nped system, derive an expression ofA vibratingrsystem having a mass 3 kg, spring stiffness of 100 N/m and damping coefficientof 3 N - sec/m. Determine damping ratio, damped natural frequency, logarithmic decrement,ratio of two consecutive amplitudei and number of cycles after which the original amplitude
(10 Marks)
(08 Marks)
Discuss the(10 Marks)(10 Marks)
4a.
b.
is reduced to 20Yo. (10 Marks)
Analyse the undertamped system subjected to constant harmonic excitation and show thecomplete solution. (12 Marks)A vibrating system having mass 100 kg is suspended by a spring of stiffness 19600 N/m andis acted upon by a harmonic force of 39.2 N at the undamped natural frequency. Assumingvisious damping with a coefficient of 98 N - sec/m. Determine resonant frequency, phaseangle at resonance, amplitude at resonance, the frequency corresponding to the peakamplitude and damped frequency
PART _ B
5 a. Mention the instruments used to measure displacement and acceleration.relevant frequency response curves.
b. Derive an expression for amplitude of a whirling shafts with air damping.1 r'rf')
6a.
b.
10ME72
Discuss the effect f mass ratio on frequency ratio of an undamped dynamic vibrationabsorber with derivation. (12 Marks)
Two equal masses are attached to a string having high tension as shown in the Fig. 6(b).
Determine the natural frequencies of the system. (08 Marks)
Fig. Q6(b)
7 a. Determine the influence coefficients of the triple pendulum system as shown in Fig. 7(a).
b.
,, Fig. Q7(a)
Use the Stodo'tra method to determine the lowest natural frequency of four-,1 ,
fieedom spring mass system as shown in Fig. 7(b).
kK
(10 Marks)degrees of
(10 Marks)
Write a short notes on any FOUR :
a. Signal analysisb. Dynamic testing of machines
c. Experimental modal analysisd. Machine condition monitoringe. Orthogonality of principal modes.
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(20 Marks)
USN
Time: 3 hrs.
10ME73
(07 Marks)(07 Marks)
(06 Marks)
(06 Marks)(04 Marks)
(10 Marks)
(10 Marks)
(10 Marks)hydraulic
(10 IVIarks)
(08 Marks)(05 Marks)(07 Marks)
(10 Marks)(10 Marks)
Seventh Semester B.E. Degree Examination, Dec.2013 lJan.20l4Hydraulics and Pneumatics
Max. Marks: 100Note: Answer FIVEfull questions, selecting
at least TWO questions from each part.
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What ar€ the factors to be considered for selecting a hydraulic pump? Explain in brief.
Explainthe.constructionandworkingofaexternalgearpumP.A vane pump is to have a volumetric displacement of 82cm'. ,It has a rotor diameter of 5cm,a cam ring diameter of 7.5cm and a vane width of 4cm. What must be the eccentricity?
2a.b.
c.
.
Explain with neat sketeh balanced vane motor. , t 'l
A hydraulic motor has a diiplacement of 130em3, operates with a pressure of 105 bar andhas a speed of 2000 rpm. If the acqrql flow rate consumed by the motor is 0.005m3/s, and theactual torque delivered by the motor is 200N-m find:
a. Classify hydraulic control uelu.r. Explain with neat sketch working of check vave, and giveits graphical represenlation. (10 Marks)
b. Draw symbolic representation of the lollowing hydraulic control valves.
D Volumetric efficiency.ii) Mechanicalefficiency.iii) Overall efficiency.iv) Power developed by motor in kW.
i) Simple pre'ssuie relief valve.ii) Pressure:ieriucingvalve.iii) Sequence valve.iv) Counter balance valve.v).. ,;.'N,tanually operated, spring centred, tlree position four way valveJ.
a. -,Explain with neat sketches meter-in and meter-out circuits.b.' What are hydraulic accumulators? Classify the different
system and explain spring loaded hydraulic accumulator.
PART - BExplain briefly filters and strainers in hydraulic system.Derive expression for beta efficiency.Discuss about sealing devices.
What are the advantages using pneumatic system?Explain with neat sketch and cushion arrangements in double acting cylinder.
.
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b.
c.
a.
b.
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USN 10ME74
Seventh Semester B.E. Degree Examination, Dec.2013 lJan.Zol4Operations Research
Time: 3 hrs. Max. Marks:100Note: Answer FIVEfull questions, selecting
qt least TWO questions from each part.
PART _ AI a. Old hens can be brought at Rs.50/- each and young hens can be brought at Rs.100/- each.
The old hens lay 3 eggs/week and young hen's 5/week. Each egg cost 2 Rs. A hen costRs.S/week to fbed, if a person has only Rs.2000 to spend for hens, formulate the problem todecide hoW many of each kind of hens should be buy? And he cannot house more than
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40 hens, formulate the problem a LPP model.b. Solve the following LPP by Graphical method,
Z,rror=3x, +4x,Subject to constraints,5x, + 4x, <200
3x,+5x, S1.50
5x, +4x, > 100
8x, +4x, > 80
2 a. Solve the following LPP using Simplex method:Zrrru*=10x,+5x,Subject to constrainls.4x,+5x, <100
5x,+2xr<80x, &x, >0
b. Solve the given problem by using Big.M.L,nir, = )xt +Jx2Subject to constraints,2x, + 4x, <12
2*, *2x, =lQ5x, +2xr>10x,&x, >0
3 a. Find the optimality tbr ble nd initial
(10 Marks)
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AM method. 1lo Marks)tven proDtem a mrt SO utron using V-------r.- OriginDestination]S---=--
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4 a. A traveling salesman has to visit 5 cities. He wishes to start from a particular city, visit each
3 b. A AML company has 5 tasks and 5 personsand to minimize the total cost.
10ME74
to perform. Determine the optimal assignment(10 Marks)
(10 Marks)
(14 Marks)(06 Marks)
(06 Marks)(07 Marks)
b. What is integer programming? Why it is needed and write the branch and bound algorithm.
PART _ B5a.Thefo1lowingtablegivestheuffiaconstructionprojectandotherrelated
city once and return to his starting ,"T nT the least cost route.
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4-5 t2 l8 24i) Draw a pert networkii) Calcutate project durationiii) Find the critical path.iv) Find the probability that the project will be completed within 50 days.
b. Define the following: i) Normal time ii) Crash time iii) Free float
6 a. Define: i) Fair game ii) Pure strategy iii) Mixed strategyb. Use dominance rule to trnd the optimum strategies for both the player.
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Player A-, l4 3 7 -5 1 2ltu14 3 4 -r 2 z
IAsl_4 3 3 -2 2 2_lc. Solve the game by graphically method.
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JobsMachines
A B C D E
P 6 7 5 9 4
a 7 5 10 9 6
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(07 Marks)
10ME74
a. Write the characteristics of waiting lines. (05 Marks)b. At what average rate must a clerk at super market work in order to ensure a probability of
0.9 that the customer will not have to wait longer than 12 minutes? It is assumed that there isonly one counter to which customer arrive in a Poisson fashion at an average rate of 15/hr.The length of service by the clerk has an exponential distribution. (07 Marks)
c. In a hair dress by saloon with one barber, the customer arrived follows Poisson distributionat an average rate of one every 45 minutes. The service time is exponentially distributedwith a mean of 30 minutes. Find:i) Average number of customer in a saloon.ii) Average waiting time of customer before service.iii) Average idle time of barber.
a. Define the following:D Idle time ii) Total elapsed time
b.
c.
(12 Marks)
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(08 Marks)
(04 Marks)(04 Marks)Write the asSpmption underlying the sequencing problem.
Find the sequenCe that minimires the totalelaps ime and normal time.the tota EIADSEC time. idle t
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USN 10ME754
Seventh Semester B.E. Degree Examination, Dec.2013 I Jan.2Ol4Non - Gonventional Energy Sources
Time: 3 hrs. Max. Marks:100
Note: Answer uny FIVEfutt questions, selecting atleast TWO questionsfrom each part.
PART - AI a. Discuss with the help of recent statistics comrnercial and non - commercial energy reserves
and production in India. (10 Marks)
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b. Explain the advantages and limitations of the use of non - conventional sources of energy.(10 Marks)
?. Explain the following : i) Solar constant ii) Solar radiation data of India. (06 Marks)b. Sketch and explain the working of shading ring pyrheliometer. (08 Marks)c. Calculate the day length of location (latitude 220 00' W, 730 10' E) during the month of
March. (06 Marks)
3 a. Name the different types of:,:solar thermal power cycles and explain any one type, with aneat sketch | , (to Marks)
b. With the help of usual expressiorl explain the beam, diffirse and reflected solar radiation onthe tilted surfaces. (10 Marks)
a. Explain transmissivity based on reflection refiaction in relation to flat plate solar collectorcovers. (06 Marks)
b. Two glass covers each 3mm thick have refractive index of 1.526 and an extinctioncoefficient 'K' of 0.0161mm. Calculate the transmittance taking into account the absorptionand reflection both for normal incidence and an angle- of incidence of 750 and also find the
c. Write short notes o,n: i) Solar collector heat loss coefficientrftQF $i{ar collectorperformance. ,(+9 ,,Atru Marks),') c\r'
5a.b.
c.
a.
b.
c.
a.
b.
Wing at 1 standard atmospheric pressure and 200C has velocity oit The total power density in the wind stream ii) Maximum powei y ur) Actual
power density, assuming \: 30% iv) Total power produced, if the turbine diameter
PART - BList the foui important applications of solar photovoltaic syWith a neat sketch, explain the horizontal axis wind machine.
is 120 m.
Explain the mechanism of wave motion.with the neat sketch, explain the working principle of oTEC (closed) plant.State the environmental problem associated with geothermal energy conversion.
List the factors affecting bio gas generation. Explain any four, in brief.what are the main applications of bio gas? Explain briefly the sourcesbiomass.
what are the different methods for hydrogen production? Explain in brief.Write short notes on : i) Safe utilization of hydrogen energytransportation.
ar collector
s)Marks)Marks)/^'
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(08 Marks)
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(10 Marks)of production of
(10 Marks)
(10 Marks)ii) Hydrogen
(10 Marks)
8a.b.
USN
2a.
b.
3a.b.
c.
4a.
b.
5a.b.
c.
6a.
ta.b.
'c.
8
Note: Answer FIVEfull questions, selectingat least TWO questionsfrom each part.
PART _ A
l0ME766
(06 Marks)(14 Marks)
(10 Marks)(06 Marks)(04 Marks)
using Lagrangian formulation.(12 Marks)(08 Marks)
Seventh Semester B.E. Degree Examination, Dec.2013 lJan.20l4
Time: 3 hrs.
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Briefly explain the types of robot.
:;': """" 'i' "'Discuss the kine@tics of SCARA manipulator by using link transformation -u,tir1ro *u.u.;
Explain the inverse kinernatics for a 3R manipulator;: (10 Marks)
Explain the,follswing robot joints: i) Rotary joint; ii) Spherical joint.
Explain the features of Jacobian matrix for a sprial manipulator.
Explain the static's of parallel manipulator.
Illustrate the equation of motio, ne * fifu*, 2R manipulator
Discuss the inertia of a link Uy uiilg"u rigid body.
b. ,
PID control of a multi link manipulator.
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rce schemes.Explain the joint space schemes.
Cartesian circular motion planning. Explain.
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(06 Marks)(08 Marks)(06 Marks)
Briefly explain the feed back control of a single link manipulator for a firsf order system.,, r- (10 Marks)
With the help of a neat sketch, explain the working of a brushless D.C. motor. (06 Marks)Explain the types of actuating system. tbonnai.xOExplain the operation principles of a stepper motor and its characteristics. (08 Marks).
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Write short notes on:LVDT.Piezoelectric sensors.Eddy current proximity sensor,Capacitive sensor.Optical sensor.
a.
b.
c.
d.e.
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(20 Marks)
