Pearson Edexcel Level 3 GCE
Further Mathematics
Advanced Subsidiary Further Mathematics options 26: Further
Mechanics 2 (Part of option J)
Total marks
You must have:
Mathematical Formulae and Statistical Tables (Green), calculator
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
pen.
in the boxes at the top of this page with
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of
your name,
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.
• Unless
• Answers without working may not gain full
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
−2
credit.
figures.
Informatio
•
n A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 40. There are 4 questions.
provided.
• – usemarks
The for each question are shown in
this as a guide as to how much time to spend on each question.
Advice
• brackets
Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
• Good luck with your
question. Turn over
examination.
P66637
A
1
,1.
P 8a S
3a
A D
8a
5a
10a
Q 5a 3a R
B 10a C
Figure 1
A uniform rod of length 72a is cut into pieces. The pieces are used to make two rigid
squares, ABCD and PQRS, with sides of length 10a and 8a respectively. The two
squares are joined to form the rigid framework shown in Figure 1.
The squares both lie in the same plane with the rod AB parallel to the rod PQ.
Given that
• AD cuts PQ in the ratio 3 : 5
• DC cuts QR in the ratio 5 : 3
(a) explain why the centre of mass of square ABCD is at Q.
(1)
(b) Find the distance of the centre of mass of the framework from B.
(5)
2
, Question 1 continued
(Total for Question 1 is 6 marks)
3
Turn over
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