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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Advanced Level
GEOMETRICAL AND MECHANICAL DRAWING
9351/01
Paper 1
May/June 2005
3 hours
Additional Materials: A2 Drawing Paper (4 sheets)
Protractor
Standard Drawing Equipment
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name at the bottom right-hand corner of every sheet of
paper you use.
Do not use highlighters, glue or correction fluid.
Section I
Answer all the questions.
Section II
Answer any three questions.
Write or draw your answers on the separate Drawing Paper provided.
Work all your answers in SI units. Use both sides of the Drawing Paper.
All solutions are to be drawn full-size unless a contrary instruction is given. Construction lines must be
clearly shown.
The diagrams are not necessarily drawn to scale.
All dimensions are in millimetres unless otherwise stated.
You are reminded of the need for clear presentation in your answers.
At the end of the examination, fasten all your work securely together.
The number of marks is given in brackets [ ] at the end of each question or part question.
This document consists of 10 printed pages and 2 blank pages.
SP (CW/SLM) S81208/2
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Section I (40 marks)
Answer all questions in this section
1
Fig. 1 shows a lever plate.
Draw a full size view of the lever plate using geometrical constructions for the tangent and
tangential arcs. All construction lines including points of tangency must be shown.
[6]
90
R20
R30
C
B
A
4 holes
A B C D Ø8
spaced in the
ratio 1 : 2 : 3
R85
equilateral
triangle each
side 40,
centrally
positioned
within Ø70
circle
55 CRS
Ø70
Fig. 1
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120 CRS
D
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2
Part of the mechanism of a packaging machine is shown in Fig. 2. The wheel, centre O, rolls
without slipping along the horizontal surface AB and then up the inclined surface BC.
(a) Draw the given diagram full size.
[1]
(b) Construct the locus of P on the circumference of the wheel until P is in contact with the
inclined surface.
[8]
C
Ø84
O
45°
P
B
half circumference of wheel
A
Fig. 2
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3
Fig. 3 shows:
• the traces V.T. and H.T. of an inclined plane;
• the front view a1 b1 of a line, which is shown in the plan as ab;
• a second line cd, which lies on the inclined plane such that ab and cd are coincident in the plan.
(a) Draw the given views full size.
[2]
(b) Determine the point of intersection of the line AB with the inclined plane and indicate these
positions as P and P1.
[6]
(c) Determine the true length of the line CD and print your answer under the drawing.
V.T.
25
a1
50
b1
60°
x
45°
60
75
y
a
d
b
c
H.T.
Fig. 3
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4
An incomplete front view and a complete plan of the intersection between a cylinder and a square
prism are given in Fig. 4.
(a) Draw the given views full size.
[2]
(b) Complete the given front view by showing the line of intersection between the cylinder and
the square prism.
Hidden detail is required.
[7]
(c) Construct the development of the square prism.
[5]
60
30
90
60°
38
Ø70
Fig. 4
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Section II (60 marks)
Attempt no more than three questions from this section.
All questions carry equal marks.
5
Orthographic views of a bracket are given in Fig. 5.
(a) Construct an isometric scale.
[3]
(b) Construct an isometric view of the bracket with corner A to the front.
The isometric scale must be used.
[17]
A
85
40
45
10 10
15
15
60
R25
90
60
scrap view showing
radius of corner
regular
hexagon
30 across
corners
30°
75
35
15
parabolic
curve
R15
A1
Fig. 5
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6
A beam with an overhang at both ends and with loads as indicated is shown in Fig. 6.
(a) Draw the given diagram to a scale of 1:100.
[1]
(b) Determine graphically the magnitude of the reactions RR and RL. Use a polar distance of
50 mm and a scale of 10 mm = 10 kN.
[7]
(c) Using the same scale as in (b), construct a shear force diagram for the beam. Indicate the
positions of zero shear force.
[6]
(d) Construct a bending moment diagram for the beam on a horizontal base. Give the magnitude
and position of the maximum bending moment.
[6]
Your answers to (b), (c) and (d) must be shown clearly on your drawing.
2 kN
7m
5 kN
3m
3 kN
2 kN
5m
4m
3m
RL
RR
Fig. 6
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7
Incomplete orthographic views of two differently shaped and skewed pipes are given in Fig. 7.
(a) Construct the given view to a scale of 1:10.
[2]
(b) To the same scale, construct a one-piece development of a transition piece between the two
pipes, indicated by the shaded area A.
[14]
600
(c) Complete the two given views.
[4]
A
0
400
43
R 400
Fig. 7
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8
Fig. 8 shows a piece of costume jewellery. It is made from five pieces of silver plate.
(a) Construct the given view to a scale of 1:2.
[10]
(b) Use graphical integration to determine the area of silver plate required to make the piece of
jewellery. Print your answer clearly under your drawing.
[10]
190
28
46
46
28
m
e
60
a
f
g
b
d
semiellipse
c
h
l
j
k
am
bl
ck
dj
eh
gf
=
=
=
=
=
=
90
80
70
60
50
40
bl, ck, dj and eh
are normals to
the ellipse
The arcs gh, hj,
jk, kl and lm
each have a
radius of 80.
Fig. 8
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9
Construct a radial plate cam, with a 20 mm diameter roller follower offset 25 mm to its right, which
will give the following performance:
• the cam is to rotate clockwise;
• it rises 21 mm with Uniform Velocity from 0° to 60°;
• it rises a further 21 mm with Simple Harmonic Motion from 60° to 150°;
• it rests from 150° to 180°;
• it then falls 42 mm with Uniform Acceleration and Retardation from 180° to 360°.
The shaft diameter is to be 20 mm.
The minimum cam diameter is to be 80 mm.
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publisher will be pleased to make amends at the earliest possible opportunity.
University of Cambridge International Examinations is part of the University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of
the University of Cambridge.
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