Question 1
(a)
A pulsed Nd:YAG laser is to be employed in a Rayleigh scattering experiment
to determine gas temperature. The laser can be used at 532 nm (second
harmonic), 355 nm (third harmonic), or 266 nm (fourth harmonic). If the laser
linewidths are t

Question 1
(a)
If y = f ( x) =
5x + 3
, determine
4x 5
(i)
the inverse function f 1 ( x) of f ( x)
(ii)
the maximum possible domains and the corresponding ranges of both
f ( x) and f 1 ( x) .
(4 marks)
(4 marks)
(b)
Investigate the continuity of the funct

SECTION A
Answer THREE questions from this section
Question 1
(a) (i) Explain what is meant by absolute probability and what is meant by conditional
probability.
[2 marks]
(ii) A given population (eg the population of the UK or a collection of similar
eng

Question 1
A prototype two-stroke, 396 cm3, single cylinder, gasoline motor-cycle engine with a
compression ratio of 10 was tested on a dynamometer prior to production. The power
cycle was best described by the combined cycle P-V diagram shown in Figure Q

Question 1
(a)
What is fuzzy logic? Distinguish between Crisp and Fuzzy values.
[5 Marks]
(b)
(c)
You are asked to design an engine management system for a 6-cylinder, 4-stroke
petrol engine based on a microprocessor.
i)
Calculate the time interval betwee

Question 1
(a)
Describe the mode of mixture preparation and combustion in conventional
port-injected gasoline engines.
(b)
[13 marks]
Link, in clear terms, the mode of combustion with
(i)
the exhaust after-treatment system used in production gasoline engi

Question 1
(a)
For the rich hydrocarbon-air reaction
CxHy + a (O2 + 3.76 N2) b CO2 + c CO + d H2O + e H2 + 3.76a N2,
use the water-gas shift reaction
CO + H2O CO2 + H2
with K p = exp( G Ru T ) =
b=
2a (K p 1) + x + y 2
2(K p 1)
b.e
, to show that
c.d
[2a

Question 1
(a)
Consider a wing of finite span with an elliptic circulation distribution:
2
2
( y ) y
+ = 1, - s y s
o b
where s=b/2 denotes the wing semi-span. Use this equation, in conjunction with
the Kutta-Joukowsky result for the elementary lift

Question 1 (COMPULSORY)
(a)
(b)
Starting with the continuity equation, derive an expression that relates the
change in area to the change in velocity inside a duct.
[ 10 marks ]
Use this expression to fully explain why a converging-diverging nozzle
must b

Question 1
a) Draw the circuit diagram of an inductance L and capacitor C in parallel and derive a
formula for the equivalent impedance.
[4 Marks]
b)Explain
.
what
happens
to
the
parallel
circuit
at
resonant
frequency.
[4 Marks]
c) Draw the circuit diagra

SECTION A
Question 1
150
25 kN
40 kN
All dimensions
in mm
8 kN/m
A
D
C
B
2m
3m
250
15
3m
m
15
Figure Q1(a)
Figure Q1(b)
The horizontal beam ABCD shown in Figure Q1(a) has a uniform cross-section as
shown in Figure Q1(b). It is simply supported at A and D.

Question 1
(a) Sketch typical stress strain curves for a typical metal. Identify key features of this
stress strain curves. What do calculate by integrating the area under a stress versus
strain curve?
[8 marks]
(b) Some ductile metals have the yield beha

Question 1
(a) A square matrix A = A is called positive definite if the quadratic form wAw > 0
for every non-zero vector w [Note: Here (.) denotes the transpose of a matrix or
a vector]. Let
2 0 1
A = 0 2 1
1 1 2
By setting w = [ x
z ] show that:
y
wAw =

Question 1
(a)
If y = f ( x) = ln(4 2 x) , determine
(i)
the inverse function f 1 ( x) of f ( x) and sketch its graph
(6 marks)
(ii)
the maximum possible domains and the corresponding ranges of both
f ( x) and f 1 ( x) .
(2 marks)
(b)
Investigate the cont

Question 1:
(a) Draw a schematic block diagram for a radar system. Briefly explain the main function of each basic
component.
[6 marks]
(b) Using the block diagram from (a) as well as a new schematic drawing, describe in detail the
operation principle for

Question 1
(a) The three primary maintenance processes recognised by the CAA and FAA are;
hard-time, on-condition, and condition-monitoring. Explain these three
maintenance processes by giving an example of each.
[8 marks]
(b) Explain the MSG-3 assigned t

Question 1
a) The momentum equation of a fluid in motion can be written in the form:
Dui
1 P 2ui + ui
(
)
= Fi
+
+
xi x 2j
xi x j
Dt
(1)
Using the following definition of dimensionless parameters for density, velocity,
distance, time and pressure:
=
,

Seat No:
School of Engineering & Mathematical Sciences
BEng in Biomedical Engineering and Applied Physics
BEng in Electrical and Electronic Engineering
BEng in Media Communication Systems
BEng in Multi-media and Internet Systems
BSc / BEng in Computer Sys

Question 1
(a) Use your knowledge of metals processing to explain how a metallic body panel for
use as an aircraft skin is made. Your answer should explain why casting is not a
suitable manufacturing route.
[11 marks]
(b) Explain why is it desirable to us

Section A Gas Turbines
Question 1
A critical isentropic flow exists within a converging-diverging duct with the following
parameters: A-in/A-th = 2.50, intake diameter D-in = 85cm, p-in = 0.11MPa,
-in = 300K, p-out = 37,841.80 Pa. Determine the following

Question 1
(a)
Determine the products for the reaction
C16H34 + 20 (O2 + 3.76 N2) b CO2 + c CO + d H2O + e H2 + f N2
at 2400 K in a diesel furnace, using the water-gas shift reaction
CO + H2O CO2 + H2.
[14 marks]
For the reaction
CxHy + a (O2 + 3.76 N2) b

Question 1
(a) Calculate the following limits:
(i) lim x
ln x
,
x
(ii) lim x
sin x
2 x 2 + 3x + 1
, (iii) lim x 0
2
x
x + 2x + 3
(10 marks)
(b) Find the domain and range of the function: f ( x) =
1
and sketch its graph.
x 1
(10 marks)
Question 2
3
(a) S

The University for Business
and the Professions
SCHOOL OF ENGINEERING AND MATHEMATICAL
SCIENCES
BEng / MEng in Aeronautical Engineering
BEng / MEng in Air Transport Engineering
AERODYNAMICS
Module : AE2221
Part 2 Examination
DATE:
May 2007
TIME: 3 Hrs
Ans

Question 1
What factors influenced the collapse of the MG-Rover car company, and how are these factors
influenced by global politics? How far do multinational companies control the economic climate and
to what extent are they controlled by government soci

SECTION A
Question 1
Figure Q1 below shows a pin-jointed space frame with fully fixed supports at points
2,3,4,5 and 6. Points 2,3,4,5 form the corners of a square base of side 4 m. Point 6 is on
the same horizontal plane as the square base, lying along t

SECTION A
(Attempt ALL questions from this Section)
1.
Which of the following is equivalent to one nanometre?
a)
b)
c)
d)
e)
1000 microns
0.001 microns
0.001 m
0.001 cm
100 microns
2.
Which of the following is true for Bohrs H-atoms model?
a)
b)
c)
d)
e)

Question 1
A pin-jointed plane frame consists of five bars (a, b, c, d and e) and six nodes (1, 2, 3,
4, 5 and 6) as shown in Figure Q1(a). Nodes 2, 3, 4, 5 and 6 are pinned to rigid
supports and the frame is loaded with a horizontal force F at node 1 as

Question 1
(a) Give three applications for parallel surfaces in engineering.
[3 marks]
(b) Explain how a parallel curve can be calculated, given the base curve.
[2 marks]
(c) A 2-D space curve is defined by
r(s) = 3s2i + 2s3j
If the curve is to be machine

Question 1
(a) Consider the case where there are 2 competing theories, A1 and A2 , of which one
but only one will be correct. Each of the theories will produces a different estimate
for an experimental measurement, E, which is itself subject to noise and

Question 1
(a)
A charge q (t ) = 100 + 5t Coulombs (C) flows into an electric component. Find the
current flow.
[3 marks]
(b)
A capacitor is charged at a constant current of 0.83 A for a time of 30 s, and then
discharged at a constant rate of 0.35 A. How