Number Number
Pearson Edexcel GCE
In Further Mathematics (8FM0) Paper 26 Further Mechanics 2
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
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.
• The total mark for this part of the examination is 40. There are 4 questions.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1.
A 4a B 2a C
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
• 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)
, Question 1 continued
(Total for Question 1 is 7 marks)