UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
GEOMETRICAL AND MECHANICAL DRAWING
7040/01
October/November 2007
Paper 1
2 hours 40 minutes
Additional Materials:
*6997136450*
A2 Drawing Paper (1 sheet)
Standard Drawing Equipment
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name at the bottom right-hand corner of your Drawing
Paper.
Use both sides of the paper for your answers.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer five questions.
Answer not more than three questions from any one section.
Unless otherwise stated, strictly geometrical methods must be used, solutions are to be drawn full size and
no dimensions are required. All construction lines must be shown clearly, but lines which are parallel to,
perpendicular to, or inclined at angles of 30°, 45° or 60° to other lines may be drawn without showing
construction lines.
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.
All dimensions are in millimetres unless otherwise stated.
This document consists of 8 printed pages.
IB07 11_7040_01/5RP
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2
Section 1 Plane Geometry
Answer not more than three questions from this section.
Construct, full size, the cam shown in Fig. 1, showing clearly the method of construction used to
determine the centres of radii. Indicate clearly the points of tangency.
[20]
60
40
Ø
R40
Ø
20
1
20
R8
5
R3
0
semi ellipse
160 major axis
80 minor axis
Fig. 1
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2
Fig. 2 shows diagrammatically a simple valve mechanism, in which the crank OA revolves about
a fixed centre O. The arm CB oscillates about a fixed centre C and the piston P moves in a
constrained horizontal path along the centre line X–X.
A, B, C, D and P are all pin jointed.
(a) Draw the given view.
[4]
(b) Plot the locus of the point D for one complete revolution of crank OA.
[12]
(c) Determine the maximum and minimum horizontal displacement of the piston pin P measured
from a vertical line drawn through C.
[4]
D
B
P
X
50
X
60
C
A
OA = 40
AB = 120
BD = 30
DP = 65
CB = 70
30°
O
100
Fig. 2
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3
Fig. 3 shows the elevation of a cylinder, which houses a spring. The spring is fixed to the 20 mm
diameter spindle at the anchor point P and takes the form of an involute until it reaches a radius
of 30 mm. At this point, the spring takes the form of an archimedian spiral for two convolutions
before reaching the 180 mm inside diameter of the cylinder, where it is attached at the point of
contact.
Construct full size, the elevation of the mechanism, representing the construction of the spring as
a single line.
[20]
Ø20 spindle
Ø18
0
anchor
point P
Fig. 3
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5
Section 2 Solid Geometry
Answer not more than three questions from this section.
4
Fig. 4 shows, in first angle projection, two views of a machined block.
(a) Draw the given views.
[4]
(b) Plot an auxiliary view looking in the direction of arrow A.
30
25
5
75
Ø
90
°
40
A
50
35
25
[16]
100
15
15
70
Fig. 4
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6
5
Fig. 5 shows, in first angle projection, three views of a bracket.
Draw an isometric view of the bracket with X as the lowest point in the view.
Do not use an isometric scale or indicate any hidden detail.
[20]
25
8
R3
25
80
Ø50
X
15
76
60
X1
10
28
10
28
Fig. 5
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6
Fig. 6 shows, in third angle projection, the end elevation, the incomplete front elevation and plan
of a right circular cone intersected by a square section prism.
Draw:
[4]
(b) the complete front elevation, showing the curves of intersection;
[7]
(c) the complete plan, showing the curves of intersection and all hidden detail.
[9]
30
100
40
(a) the given end elevation;
50
Ø90
50
Fig. 6
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7
Fig. 7 shows, in first angle projection, two views of a truncated pyramid open at the top and
bottom, made out of thin metal.
Ignoring the thickness of the metal, draw:
(a) the two given views;
[4]
[16]
20
35
50
(b) the development of the surfaces of the pyramid.
25
50
10
70
Fig. 7
8
Draw two full turns of a single start, right hand square thread, having an outside diameter of
[20]
74 mm and a pitch of 24 mm.
Hidden detail not required.
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of
Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2007
7040/01/O/N/07
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