SECTION A
QI.(a)Draw the displacement-cam angle and velocity-cam angle diagrams of constant accleration and deceleration of cam-follower profile. What are related to mechanical vibrations. its limitations 8
Explain the terms: cycle, amplitude, phase angle and natural frequency
Describe the Mohr's circle diagram as applied to two-dimensional stress, indicating principal dimensions and angles and what they represent. 8
What is meant by dislocation State different types of dislocations with neat sketches.
Show that the forging load can be estimated using the expression,
P 1·15 cr where a mean yield stress, cross-section area. 8
Q2.(a) A hoisting dtpm, carrying a steel wire rope, is mounted at the end of a cantilever beam as · shown in Fig. 1. Determine the equivalent spring constant of the system when suspended length of the wire is l. Assume that the net cross-sectional diameter of the wire is d and the Young's modulus of the beam and wire rope is E. 10.
a simply supported circular beam of diameter d is subjected to a load of w.It is desired to replace this beam by a hollow beam having 80%
flexural strengtI p., but with outside diameter D1 and inside diameter 0·5 D. Compare the weight of both beams for flexural strength, if they are supported over same span.

The total sleeve 1movement in a spring controlled Hartnell governor is
30 mm. The mas.. of rotating balls is 1 ·4 kg each. At the mid.:position of
the sleeve, the slreve arm, which is 65 mm long, is horizontal. The ball
arm is 75 mm long. The balls rotate at a radius of 100 mm when the
sleeve is at mid-position. Due to the wrong adjustment of spring, the top
speed of the governor is 422 rpm and that corresponding to the lower
position is rpip. Determine
A simply supported circular beam of diameter D is subjected to a load of
the stiffnes$ of the spring, and
the required initial compression of. the spring to give an I equilibriumspeed at the topmost pos ition which is 12 rpm more
than at the lowest position, if the sleeve mass is neglected. Neglect the effect of obliquity of arms. 20

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Q3. A flat belt drives a pulley having angle of lap of 115 and coefficient of friction of 0·3 between belt and pulley. The belt is made of neoprene rubber of density 900 kg/m3 and is 86 mm wide and 6 mm· thick. The maximum stress which the belt can sustain without deformation is 2 MPa. If the belt is used to drive a 100% efficient generator, what will be the power output of the generator and at what speed of the belt? 10

It is proposed to balance 50% of the reciprocating masses in a single
cylinder reciprocating engine, which is rotating at 150 rpm. The masses
of revolving and reciprocating parts are 30 kg acting at crank radius and
40 kg respectively. If the stroke is 350 mm, find
(i)the balance mass required at a radius of 320 mm, and
the unbalanced force at the crank position of 45° from the dead
centre. Take acceleration due to gravity, g 9·80 m/s2
A shaft s1 has two interconnected gears A and B mounted on it. The gear A is in mesh with gear C mounted on shaft Sapproximately s2. Gear D is mounted on shaft S3, which is co-axial to shaft s2. Gears B and D are in mesh. The module of connected gears A and C is 2 mm and that of B and D is 3 mm. The speed of the shaft is less than S3 1/12 (one-twelfth) of that of shaft S2. The number of teeth on pinions B and C are 24 each. Find the
suitable number of teeth on gears, pinions,
actual velocity ratio, and
distance between shafts S1 and S2.
Q4.(a) Write briefly on grey cast iron and white cast iron.
What is annea/mg Explain the following terms
Full annealing
Process Jnnealing
Stress-R..lief annealing
Explain the following structures
BCC I
FCC
With the help of examples, bring out the essential differences in properties and applications of two materials which have BCC and FCC structures. Wh..t is the narn,e assigned to the materials which change their structure from BCC to FCC

SECTION B
Q5.(a) What are the important constituents of linear programming
State the assumptions to be made in formulation of a problem in
linear programming. 8
Differentiate value-analysis and value engineering.
State different phases of value-analysis job-plan and explain any one of them. 8
What are the effects of lowering the friction at the tool-chip interface (with lubricant) on the mechanics of cutting operations 8
In an orthogonal cutting operation, the following data
observed
have been
Uncut chip thickness 0· 128 mm
Width of the cut 6·36 mm
Cutting speed 2·0 mis
Rake angle 10°
Cutting force 568 N
Thrust force 228 N
Chip thickness 0·228 mm
Find shear angle, friction angle and cutting power.
Using Taylor equation for tool life, and assuming n 0·5 and C 400, calculate the percentage increase in tool life when the cutting speed is redred by 50%.

Q6.(a) Name and discuss the factors that contribute to the formation of
discontinuous chip 10
chips with built-up edge
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Draw the velocity diagram in cutting zone and prove that I
Vs/v cosalpha/cos(pie-alpha)
where, V :utting velocity
V lhear velocity s I
alpha: rake angle
pie:shear angle
Why is it not always advisable to increase the cutting speed in
order to increase the production rate
(c)With the help of skeilihes, explain the following terms'related to rolling of sheet metal
Angle of bite
Neutral plane
Draught
camber 20


Q7.(a) For a particular product, the following information is given
Selling price per unit :100
Variable cost pet unit:60
Fixed costs 10,00,000
Due to inflation, the v:ariable costs have increased by 10% while fixed costs have increased by 5%. If the break-even quantity is to remain constant, by what percentage should the sales price be increased 10
A manufacturing company purchases 9,000 parts of a machine for its annual requirement, ortlering one month's requirement at a time. Each part costs .. 20. The ordering costs are .. 15 per order and the _carrying costs are 15% of the laverage inventory per year. Suggest a more economic purchasing pdlicy for the company. What will be your advice and how much would it kave the company per year
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Arrivals at a telephone booth are considered to be Poisson distributed
with an average time o_f 8 minutes between one arrival and the next. The
length of phone call is assumed to be distributed exponentially with
mean 3 minutes.
What is the probability that a person arriving at the booth will
have to wait
What is the average length of the queue that forms from time to
time
What is the probability that it will take him more than
12 minutes altogether to wait for the phone and complete his call 20

Q8.(a) Explain laser beam machining process with the help .?f a figure. Mention hole depth-to-diameter ratio, energy density and application. 10

Explain the springback effect in sheet metal forming.
What are the advantages and limitations of high energy rate
forming (HERF) process 10
Explain Merchant's force diagram for orthogonal cutting. A steel work piece is machined with orthogonal cutting using a tool of 10 degree rake angle. The chip thickness ratio is 0·31. The vertical and horizontal cutting forces are 1200 N and 650 N respectively. Us1ng Merchant's theory,

(i)Calculate the work done in cutting of metal to overcome friction
and shear stress.

Give assumptions made, if the depth of cut is 2 mm and feed is
0·20 mm/revolution, the cutting speed is 200 m/minute. 20

Calculate the total work done.
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