Assignment Booklet
BTME Programme
First Semester
Second Semester
BME 001
Engineering
Mathematics-I
BME 006
Mechatronics
BME 016
Engineering Mechanics
BME 030
Safety Engineering
BME 011
Computer Aided
Process Planning
BME 027
Heat and Mass Transfer
BME 031
Energy Conversion
BME 014
Metrology &
Instrumentation
BME 017
Strength of Material
SCHOOL OF ENGINEERING & TECHNOLOGY
INDIRA GANDHI NATIONAL OPEN UNIVERSITY
Maidan Garhi, New Delhi – 110 068
JULY 2010
BTME
TUTOR MARKED ASSIGNMENT
BME-001
ENGINEERING MATHEMATICS - I
Maximum Marks : 100
Weightage : 30%
Course Code: BME- 001
Last Date of Submission: July 31, 2014
Note : All questions are compulsory and carry equal marks.
Q.1 (a)
If y  1 
a3 x 2
a1
a2 x
then show that


x  a1  x  a1   x  a2   x  a1  x  a2  x  a3 
a3 
a2
dy y  a1
 



dx x  a1  x a2  x a3  x 
(b)
If x = sec  – cos  and y = sec  -cos , then show that  x  4 
(c)
If y 3  y
(d)
If x  r cos  , y  r sin  , show that
n
1

1
3

2
n

 2 x prove that x 2  1
2
 dy 
2
2
 dx   n y  4




d 2y
dy
x
 9y
2
dx
dx
r
x 1 x

,
. Also find the value of

r
x r r 
x
 2   2 .
x 2 y 2
(e)
2 y2
 1, Find the maximum
If a normal is drawn at a variable point P of the ellipse x 
a2 b2
distance of the normal from the centre of the ellipse.
(5  4 = 20)
Q 2 (a)
Evaluate :
(b)
Evaluate :
(c)
Evaluate :
 cos   sin  
 cos 2 log  cos   sin   d 
3x
2
5

  x  1 x  1

3

4
4

2
dx

d
1  sin 


dy
 2x  tan1 y  x 3 1  y 2  0
dx
(d)
Solve :
(e)
A particle of unit mass moves in a straight line in a resisting medium which produces
resistance kV. If the particle starts with a velocity u from the position s = so, show that,
u
as time goes on, the particle approaches the position s  so  .
k
Q 3 (a)
A rigid body is rotating at 2.5 rad/sec about an axis AB, where A and B are the point
(1, − 2, 1) and (3, − 4, 2). Find the velocity of the particle P of the body at the point
(5, − 1, − 1).

(b)








If   i  j  2 k,    i  2 j  3 k,   5 i  0 j  8 k, then determine the scalars c
and d such that   c   d  is perpendicular to both  and  .
(c)
If r  a cos t iˆ  a sin t jˆ  at tan  kˆ , then find the values of
dr d 2r

dt
dt 2
and
dr d 2r d 3r


.
dt
dt 2 dt3
(d)
Find the equations of the tangent plane and normal line to the surface xyz  4 at the
point i  2 j  2k .
(e)
Prove that
   B dV   n  B ds .
V
Q4
(a)
S
Evaluate A3  4 A2  3 A2  11I , if I is a unit matrix of order 3 and A is given by
1 3 2 
A  2 0 1
 1 2 3 
(b)
Show that
sin2 A
sin A 1  sin2 A
sin2 B
sin B 1  sin2 B
=   sin A  sin B  sin B  sin C  sin C  sin A 
sin C sin C 1  sin C
2
(c)
(d)
(e)
2

 0 2

    is orthogonal.
Determine the values of , ,  when 
  
 
 2 1 1


Find the characteristic equation of the matrix A   1 2 1 and verify that it is
 1 2
2
–1
satisfied by A and hence obtain A .
Solve the system of equations
2 x1  x2  2 x3  x 4  6
6 x1  6 x2  6 x3  12 x4  36
4 x1  3 x 2 3 x3  3 x 4  1
2 x1  2 x2  x3  x 4  10
Q 5 (a)
X is a discrete random variate having probability mass function :
x
0
1
2
3
4
5
6
7
P (X = x) 0
k
2k
2k
3k
k2
2k2
7k2 + k
(i)
Determine the constant k ;
(ii)
Find P (x < 6);
(iii)
What will be P x  6 ;
(b)
A random variable x follows Poisson distribution with parameter 3. Find the Probabilities
that the variable assumes the values (i) 0, 1, 2, 3;
(i)
less than 3. and
(ii)
at least 2 (Given that e– 3 = 0.0498).
(b)
The safety limit of a crane is known to be 32 tons. The mean weight and the standard
deviation of a large number of iron rods are 0.3 ton and 0.2 ton respectively. 100 rods
are lifted at a time. Find the probability of an accident.
(c)
A gambler rolls two dice and stands to loss Rs.2/- if he fails to throw a six; to win Rs. 4/he must throw one six and to win Rs.10/- he must throw 2 sixes. Is the game fair?
(d)
An I.Q test was administered to 5 persons before and after they were trained. The
results are given below :
I
II
III
IV
V
I.Q before training 110
120
123
132
125
I.Q after training
118
125
136
121
Test whether there
(Given t0.01(4)  4.6 ).
120
is
any
change
in
I.Q.
after
the
training
programme
BTME
TUTOR MARKED ASSIGNMENT
BME-002
COMPUTER AIDED DESIGN
Maximum Marks : 100
Weightage : 30%
Note :
Course Code : BME-002
Last Date of Submission : July 31, 2014
All questions are compulsory and carry equal marks. This assignment is based on all
Blocks of Computer Aided Design.
.
Q.1 What is the function of frame buffer? Differentiate between random and raster scan display.
Q.2 What is persistence? Explain the principle of LCD display. What are the various technologies
used in the LCD device?
Q.3 (a)
(b)
A triangle ABC, which has three points A [3,  1], B [4, 1] and C [2, 1] is rotated by 90°
about the origin in counter clockwise direction. Calculate the position vectors of the
rotated triangle.
Show that reflection about the line y = x is attained by reversing the coordinate that
Mk (x, y) = y, x
M k  Transformation matrix
Q.4 (a)
(b)
Write a program to implement the Z-buffer to generate Back faced detection method.
Test the Back face detection for a tetrahedron (pyramid) PQRS with vertices p (1, 1, 2),
Q (3, 2, 3), R (1, 4, 1) and S (2, 4, 0), provide different views of the pyramid so that each
face is displayed at least once.
1 1 3
and 1
, ,
4 2 4
and plot the curve for the following data. The coordinates of the four control points are given
by P0  [0, 0]; P1 [0, 2]; P2  [4, 2]; p3  [4, 0] .
Q.5 Develop the equation of a Bezier curve. Find the points on the curve for t  0,
Q.6 Calculate
the
midpoint
of
Hermite
P0 (0)  [1, 1]; P1 (1)  [6, 5]; P0 (0)  [0, 4]; p1 (1)  [4, 0] .
cubic
curve
defined
by
Q.7 Derive an equation for a Bezier surface patch having four control points p (0, v) of equivalent
bicubic formulation.
Q.8 Discuss the important properties of Bezier surface.
Q.9 Why are CAD/CAM data exchange standards required? Explain.
Q.10 Explain the salient features of the following Standards :
(i)
PDDI
(ii)
IGES
(iii)
PDES
(iv)
STEP
BTME
TUTOR MARKED ASSIGNMENT
BME-003
MANUFACTURING TECHNOLOGY
Maximum Marks : 100
Weightage : 30%
Note :
Course Code : BME-004
Last Date of Submission : July 31, 2014
All questions are compulsory and carry equal marks. This assignment is based on all
Blocks of
.
Q.1 (a)
Explain the functioning of cupola furnace with the help of a neat sketch.
(b)
Why are furnaces designed to operate with minimum of back charges?
Q.2 (a)
(b)
Q.3 (a)
(b)
Q.4 (a)
(b)
Q.5 (a)
(b)
Q.6 (a)
(b)
Q.7 (a)
(b)
Q.8 (a)
(b)
List the various principal ingredients of moulding sands. Write the role of each of them.
What do you understand by green sand? Explain its properties.
What is die casting? What are the basic elements of a die casting machine?
Explain working of a die casting machine with the help of a neat diagram.
What are the various types of sheet metal forming processes? Explain any one of them.
Describe the different types of shearing processes with neat diagrams.
Describe the terminology for a right hand cutting tool for turning with the help of a neat sketch.
Explain the features of multi point cutting tools. Give examples.
Briefly describe basic requirements of welding processes.
Explain the Shielded Metal Arc welding process with the help of a suitable diagram.
What are the functions of flux? List different types of flux used in Submerged Arc welding.
What are the major advantages of SMAW over other Arc Welding processes?
What are the various types of fuel gases used in the gas cutting operation? Explain any
one of them.
List advantages and disadvantages of oxyfuel gas cutting operation.
Q.9 A tensile with 15 mm initial diameter and 40 mm gage length reaches maximum load at 72 kn
and fractures at 69 kn. The maximum diameter at fracture is 1 mm. Determine the engineering
stress at maximum load. True fracture stress, true strain at fracture and engineering strain at
fracture.
Q.10 Write short notes on any four of the following:
(i)
Reverberate furnace
(ii)
Extrusion
(iii)
Welding current
(iv)
Flux cutting
(v)
Grey iron costing
(vi)
Hot working and Cold working
BTME
TUTOR MARKED ASSIGNMENT
BME-004
CNC TECHNOLOGY
Maximum Marks : 100
Weightage : 30%
Note :
Course Code : BME-004
Last Date of Submission : July 31, 2014
All questions are compulsory and carry equal marks. This assignment is based on all
Blocks of CNC Technology.
.
Q.1
Q.2
(a)
Describe the meaning of numerical control of machine tools.
(b)
Explain the function of MCU in an NC machine tool.
(a)
List the types of drives used for step less control of NC machine tools spindles.
(b) Compare the open loop and closed loop types of NC systems.
Q.3
(a)
How does the operation of CNC controller differ from that of a hardwire MCU?
(b)
What is Direct Numerical Control (DNC)? List its advantages over CNC.
Q.4
Q.5
Write a manual part program for the component shown in the figure below. What will be the
cutter diameter for the pocket? Consider tool compensation.
(a)
Write the meaning of following preparatory functions standardized by ISO:
(i) G 03
(ii) G 20
(iii) G 63
(iv) G 41
(v) G 91
(b)
Write the meaning of following miscellaneous function:
(i) M 06
(ii) M 09
(iii) M 55
(iv) M 15
(v) M 30
Q.6
(a)
With suitable example the need of tool nose radius compensation.
(b)
With suitable example describe the benefit of canned cycle.
Q.7
Explain the concept of post-processor as used in computer aided part programming.
Q.8
Describe different requirements for standardization in communication for manufacturing
shop.
Q.9
Explain about some of the components that form part of an FMS
Q.10
Explain the importance of integration in manufacturing automation. How does it benefit the
final product cost?
BTME
TUTOR MARKED ASSIGNMENT
BME-005
COMPUTER INTEGRATED MANUFACTURING
Maximum Marks : 100
Weightage : 30%
Note :
Course Code : BME-002
Last Date of Submission : July 31, 2014
All questions are compulsory and carry equal marks. This assignment is based on all
Blocks of Computer Integrated Manufacturing.
.
Q.1
Q.2
What is the function of Frame buffer? Computer the Frame buffer size for a CRT display
terminal of a 640 × 480 resolution with 96 pixels per inch.
(a)
What is orthographic projection? Explain it with suitable sketch.
(b)
Differentiate between parallel projection and perspective projection.
Q.3
Describe Scan-line Algorithm and give its advantages over other techniques of removing
hidden lives and surfaces.
Q.4
Draw the CMY colour Cube and briefly describe CMY Model.
Q.5
(a)
Compare B-splines Bezier curves.
(b)
Fit a Bezier curve having the following control points : P0 (1, 1), P1 (3, 6) ,P2 (5, 7) and P3 (7, 4).
Find out points at t = 0.4 and 0.6.
Q.6
Consider the line segment in the xy-plane and parallel to the y-axis defined by end point at t
= 0.6, S = 0.6 on the sweep surface generated by simultaneously translating the line 10
units along the x-axis and rotating it through 2  about the x-axis.
Q.7
Suppose Bezier curve C(u) of degree n is defined by control points P 0, P1, ……..Pn. Prove the
following :
Bn,1(u ) 
n
 (1)
j i
C( n , i ) C( n  i , j  i ) u j
j i
Q.8
(a)
Explain constructive solid geometry for representation of solids.
(b)
Compare b-rep and c-rep modeling techniques.
Q.9
Why are CAD/CAM data exchange standards required? Explain.
Q.10 (a)
Enlist at least five CAD software with their commercial names
(b)
Write a short nots on UPR.
BTME
TUTOR MARKED ASSIGNMENT
BME-006
MECHATRONICS
Maximum Marks : 100
Weightage : 30%
Course Code: BME- 006
Last Date of Submission: July 31, 2014
Note : All questions are compulsory and carry equal marks.
Q1.
Q2.
Q3.
Q4.
Q5.
Q6.
Q7.
Q8.
Identify the sensor, signal conditioner and display elements in the measurement
systems of
(i)
a mercury-in-glass thermometer,
(ii)
a bourdon pressure gauge.
(a)
Explain the difference between open- and closed- loop control,
(b)
Identify the various elements that might be present in a control system
involving a thermostatically controlled electric heater.
(a)
Explain the function of a programmable logic controller.
(b)
Explain what is meant by sequential control and illustrate your answer by an
example.
(a)
What will be the change in resistance of an electrical resistance strain gauge
with a gauge factor of 2.1 and resistance 50  if it is subject to a strain of
0.001?
(b)
Suggest a sensor that could be used, as part of a control system, to
determine the difference in levels between liquids in two containers. The
output is to provide an electrical signal for the control system.
Suggest the elements that might be considered for the measurement systems to be
used to:
(a)
Monitor the pressure in an air pressure line and present the result on a dial,
no great accuracy being required.
(b)
Continuously monitor and record the temperature of a room with an accuracy
of 1C.
(b)
Monitor the weight of lorries passing over a weighing platform.
(c)
Monitor the angular speed of rotation of a shaft.
(a)
Describe the basic details of (i) a poppet valve, (ii) a shuttle valve.
(b)
Explain the principle of a pilot-operated valve.
(a) What are the limitations of the two-step (on-off) control and in what situation is
such a control system commonly used?
(b)
Explain how a sequential valve can be used to initiate an operation only when
another operation has been completed.
(a)
A 6-bit D/A converter gives an output voltage of 8.625 volts for an input of
010111. What is the step size, the full range voltage and the percentage
resolution?
(b)
Q9.
(c)
(a)
(b)
(c)
(d)
Q.10
A typical A/D converter has 12- bit resolution and a full range of 10 volts. What
is the percent resolution and voltage resolution of this device?
What are the major guidelines for the selection of a sensor?
Differentiate between a resolver and an encoder.
What is the difference between a thermocouple and a thermistor?
What is the main advantage of a capacitive proximity switch over the inductive
proximity switch?
Describe four different sensing modes for photoelectric sensors.
(a)
A temperature probe having a first-order response with a time constant of 1
second is giving a step input 50C from 0C. Calculate the temperature
indicated 0.6 second after the application of the input.
(b)
A linear second-order, single-degree-of-freedom system has a mass of 8 gm
and a stiffness of 1000N/m. Calculate the natural frequency of the system.
Determine the damping constant necessary to just prevent overshoot in
response to a step input of force.
BTME
TUTOR MARKED ASSIGNMENT
BME-007
QUALITY ENGINEERING
Maximum Marks : 100
Weightage : 30%
Note :
.
Q.1
Q.2
Q.3
Course Code : BME-004
Last Date of Submission : July 31, 2014
All questions are compulsory and carry equal marks. This assignment is based on all
Blocks of Quality Engineering.
(a)
Explain the role stakeholders in formulating the quality policy of an organization.
(b)
Discuss the four phase/steps of quality auditing task.
(a)
Discuss the concept KAIZEN in TQM.
(b)
List out any 10 point of Crosby’s 14 points for quality improvement.
(a)
Write short notes on:
(i) POKA-YOKE
(ii) PDCA cycle
Q.4
Q.5
(b)
Discuss the basic seven tools of SQC.
(a)
Explain the eight elements of TQM.
(b)
Discuss the provisions under Occupational safety and Health, 1970. what are the benefits
arising from OSHA to employers, employees and general public?
(a)
Determine 95% confidence limits for the mean of a normal population with variance 9, using
a sample size 100 with mean 40.
(b)
To compare the price of a product I two cities, ten shops were selected at rndom in each
town and prices were noted as given below:
CITY-1
CITY-2
61
55
63
54
56
47
63
59
56
51
63
61
59
57
56
54
44
64
61
58
Test whether the average price can be said to be the same in the two cities. Use 5% LOS.
[Given t( a  0.05,v 18)  2.5]
Q.6
(a)
What do you understand by Six Sigma environment? Discuss the Six Sigma participants.
(b)
Q.7
Q.8
The balls for ball bearings are inspected by attributes. A sample of 100 is inspected daily for
continuously 10 days. The samples are taken randomly from the daily production of 1000
balls. Compute the control limits for (i) p-chart, (ii) np-chart.
The observations are given below:
Date
Rejections
1
18
2
12
3
6
4
15
5
2
6
20
7
14
8
10
9
8
(a)
10
6
What are the benefits to Quality function Deployment (QFD)
(b)
Discuss the process of FMECA. What are its benefits?
(a)
Explain cause and Effect diagram with an exemplary illustration of soldering defects of IC
manufacturing
(b)
Find the reliability of the following system:
A figure below
Q.9
(a)
Explain the life history of a hypothetical system with the help of Bath Tub Curve. What
remedial measures or maintenance strategies do you recommend at each stage of the life
cycle?
(b)
Explain different types of needs of customers
Q.10 (a)
(b)
Explain the concept of Cost of Quality in detail.
What are the common points in Juran’s Crosby’s and Feigenbaum’s philosophies?