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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Advanced Level
9351/01
GEOMETRICAL AND MECHANICAL DRAWING
Paper 1
May/June 2006
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, 2 blank pages.
IB06 06_9351_01/RP
 UCLES 2006
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Section I (40 marks)
Answer all questions in this section
1
Fig. 1 shows the outline of a mechanism in which a cylinder C rolls anti-clockwise in contact with
a horizontal surface HS. Arm OA is rigidly attached to the cylinder. The connecting link AB is pinjointed at A with B being constrained to slide along XX.
Draw the locus of P as the cylinder rolls to the left from the position shown, to the position where
OA has turned through 120°.
[8]
OA = 40
AB = 85
AP = 25
Ø50
B
X
X
C
A
H
S
Fig. 1
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P
O
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2
Fig. 2 shows two views of a flat sheet ABCDE. Two lines AC and EC are marked on the upper
surface.
(a) Draw, full size, the given views.
[1]
(b) Determine the true shape of the flat sheet.
[5]
(c) State the true lengths of AC and EC.
[2]
d'
45°
b'
c'
5
e'
a'
X
Y
10
b
c
30
d
15
30°
a
e
15
15
55
Fig. 2
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3
Fig. 3 shows details of an aluminium handrail bracket.
Draw, full size, the given view of the bracket, clearly showing all construction and points of
tangency.
[10]
80
R8
5
Ø30
Ø40
0
R7
5
R2
150
A
Tangent to
ellipse at C
30
C
B
8
Curve AB is quarter of an ellipse
major axis = 200
minor axis = 90
Fig. 3
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4
Fig. 4 shows an elevation of an oblique thin sheet-metal cone cut by an inclined plane and a
cylindrical surface.
(a) Draw the given view.
[1]
(b) Develop the true shape of the outer surface of the modified cone.
[13]
Axis of
cylindrical surface
35
30
50
70
R40
60
Ø80
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
Fig. 5 shows a pin-jointed roof truss carrying dead and wind loads as indicated. The truss is
supported at the left hand end by a frictionless roller.
(a) Draw the roof truss to a scale of 1:100 and use Bow’s notation to identify the members of the
truss.
[3]
(b) Determine by construction the magnitude of the reaction at the roller and the magnitude and
[10]
direction of the right hand reaction. Use a scale of 10 mm = 100 kN.
(c) Construct a force diagram for the roof truss.
[4]
(d) Use the force diagram to determine the magnitude and sense of the forces indicated by .
Do not tabulate the forces for the whole structure.
[3]
200 kN
200 kN
60°
200 kN
200 kN
400 kN
200 kN
200 kN
30°
60°
60°
RR
RL
15 metres
Fig. 5
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60°
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6
Fig. 6 shows an elevation and plan in first-angle projection of a machine clip.
(a) Draw the given views.
[4]
(b) Construct an auxiliary elevation as seen when viewed in the direction of the arrow P.
[16]
Hidden detail is not required.
R50
R15
10
20
R35
R2
70
R20
40
10
10
R5
30°
Ø20
P
Fig. 6
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7
Fig. 7 shows the general arrangement of a plate cam having a base diameter of 80 mm and an
off-set roller follower. The diameter of the roller follower is 16 mm, is off-set 16 mm and has a
vertical lift of 30 mm. The sequence of motion required of the follower in completing one
revolution in 0.24 seconds is:
(i)
lift of 10 mm with uniform acceleration in 0.03 seconds;
(ii)
lift of 10 mm with uniform velocity in 0.02 seconds;
(iii)
lift of 10 mm with uniform retardation in 0.03 seconds;
(iv)
dwell at the uppermost position for 0.03 seconds;
(v)
fall of 30 mm with one half cycle of simple harmonic motion in 0.12 seconds;
(vi)
dwell at the lowest position for 0.01 seconds.
(a) Construct the displacement-time diagram for the required motion of the follower.
[8]
lift
Ø16
base diameter 80
16
Fig. 7
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(b) Construct the profile for the cam.
[12]
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8
Two spheres, one of diameter 80 mm and the other of diameter 40 mm, lie on the horizontal plane
in contact with each other and both in contact with the vertical plane.
Fig. 8 shows in first angle projection an elevation and plan of the larger sphere together with an
indication of the position of the centre of the smaller sphere. Also shown in the figure are the
traces of an oblique plane which cuts both spheres.
(a) Draw the given views with the diameter 40 mm sphere shown in position.
[6]
(b) Complete the two given views of the two spheres with any portion of the spheres above the
oblique cutting plane removed.
[14]
All contact points of the two spheres to be clearly marked.
V
SPHERE Ø80
centre of
Ø40 sphere
X
T
45°
Y
45°
80
H
Fig. 8
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9
Fig. 9 shows, in first angle projection, two views of a gear-shifter link casting before machining.
Construct an isometric view of the link arranged with the axis X–X of the link aligned along one of
the main isometric axes and with the point N in the front of the view.
Omit hidden details but the isometric scale must be used.
[20]
45°
15
R70
15
R10
10
R10
X
X
N'
N
R15
25
10
40
20
60
80
Fig. 9
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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.
9351/01/M/J/06