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Further Mathematics
Paper
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Afternoon
Advanced Subsidiary
Further Mathematics options
26: Further Mechanics 2
(Part of option J)
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
• If pencil is ink
usedorfor diagrams/sketches/graphs it must be dark (HB or B).
•
Use black ball-point pen.
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• Answer all questions and ensure that your answers to parts of questions are clearly labelled
• Answer
– there
You
the questions
may
should be more
show
in thethan
space
sufficient
spaces
youprovided
working need.
to make your methods clear.
••
•
Answers without working may not gain full credit.
2
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
and give your answer to either 2 significant figures or 3 significant figures.
Information
• The total mark
A booklet for this part
‘Mathematical of the examination
Formulae and Statisticalis Tables’
40. There are 4 questions.
is provided.
•Advice –Thuesemtahrisk sasf oargeuaidceh aqsuteosthioo nw amreucshh otw
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cknedtson each question.
• Read each question carefully before you start to answer it.
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P74074A
©2025 Pearson Education Ltd.
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,
,
, 1.
D C
DO NOT WRITE IN THIS AREA
E
4a
3a
A M B
3a
Figure 1
A uniform plane lamina, shown shaded in Figure 1, is formed by removing an isosceles
triangle ABE from a rectangle ABCD.
• The midpoint of AB is M
DO NOT WRITE IN THIS AREA
• AB = 3a
• AD = 4a
• EM = 3a
• AE = EB
(a) 13a
Show that the distance of the centre of mass of the lamina from AB is
5 (5)
The lamina is suspended by a string attached to the lamina at D.
The lamina hangs freely in equilibrium.
(b) Find, to the nearest degree, the angle between AD and the vertical.
(3)
DO NOT WRITE IN THIS AREA
2
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