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Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 26 Further Mechanics 2 question paper and marking scheme $7.99
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Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 26 Further Mechanics 2 question paper and marking scheme
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Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 26 Further Mechanics 2 question paper and marking scheme

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  • December 30, 2024
  • 31
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • 2024pearson edexcel gce in further mathematics 8f

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  • Edexcel
  • Edexcel

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Pearson Edexcel GCE
In Further Mathematics (8FM0) Paper 26 Further Mechanics 2

surname names


Number Number




Afternoon

■ ■
Further Mathematics
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
Use black ink or ball-point pen.

•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,

•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly


•
labelled.
Answer the questions in the spaces provided –

•
there may be more space than you need.
You should show sufficient working to make your methods clear. Answers

•
without working may not gain full credit.
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s–2 and give
your answer to either 2 significant figures or 3 significant figures.
Information
••A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.

•
The total mark for this part of the examination is 40. There are 4 questions. – use this
The marksasfor
as a guide each
to how question
much time toare shown
spend in brackets
on each question.

•
Advice
••
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

,1.
A 4a B 2a C




DO NOT WRITE IN THIS AREA
4a




F E D

Figure 1

A uniform rod of length 24a is cut into seven pieces which are used to form the framework
ABCDEF shown in Figure 1.

It is given that




DO NOT WRITE IN THIS AREA
• AF = BE = CD = AB = FE = 4a

• BC = ED = 2a

• the rods AF, BE and CD are parallel

• the rods AB, BC, FE and ED are parallel

• AF is perpendicular to AB

• the rods all lie in the same plane

The distance of the centre of mass of the framework from AF is d.
19
(a) Show that d a
6 (4)

(b) Find the distance of the centre of mass of the framework from A.
(3)



DO NOT WRITE IN THIS AREA




2




■■■■

, DO NOT WRITE IN THISDO
AREA
NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




(Total for Question 1 is 7 marks)



Turn over
3

, 2.




DO NOT WRITE IN THIS AREA
O a


h


C r B




Figure 2

A thin hollow hemisphere, with centre O and radius a, is fixed with its axis vertical, as shown in
Figure 2.

A small ball B of mass m moves in a horizontal circle on the inner surface of the hemisphere. The
circle has centre C and radius r. The point C is vertically below O such that OC = h.

The ball moves with constant angular speed ω




DO NOT WRITE IN THIS AREA
The inner surface of the hemisphere is modelled as being smooth and B is modelled as a particle. Air
resistance is modelled as being negligible.
(a) g
Show that 2
h
(6)

Given that the magnitude of the normal reaction between B and the surface of the
hemisphere is 3mg

(b) find ω in terms of g and a.
(3)

(c) State how, apart from ignoring air resistance, you have used the fact that B is
modelled as a particle.
(1)




DO NOT WRITE IN THIS AREA




4




■■■■

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