surname names
Number Number
Further Mathematics
� �
Advanced
PAPER 4C: Further Mechanics 2
Candidates may use any calculator permitted 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.
• There are 8 questions in this question paper. The total mark for this paper is 75.
– 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 D
2a E 2a
B 2a C
Figure 1
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1.
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
The distance of the centre of mass of the framework from AB is d
12 7 2
(a) Show that d = a
12 6 2
(4)
The mass of the framework is M. A particle of mass kM is attached to the framework
at B
The distance of the centre of mass of the loaded framework from AB is a
(b) Find the value of k
(3)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
Number Number
Further Mathematics
� �
Advanced
PAPER 4C: Further Mechanics 2
Candidates may use any calculator permitted 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.
• There are 8 questions in this question paper. The total mark for this paper is 75.
– 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 D
2a E 2a
B 2a C
Figure 1
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1.
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
The distance of the centre of mass of the framework from AB is d
12 7 2
(a) Show that d = a
12 6 2
(4)
The mass of the framework is M. A particle of mass kM is attached to the framework
at B
The distance of the centre of mass of the loaded framework from AB is a
(b) Find the value of k
(3)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
