surname names
Number Number
Afternoon Paper
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).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled
–You
there mayshow
should be more space than
sufficient youto
working need.
make your methods clear.
• Answers without working may not gain full credit.
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.
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1.
D C
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
• 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)
2
■■■■
, Question 1 continued
3
■■■■ Turn over
Number Number
Afternoon Paper
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).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled
–You
there mayshow
should be more space than
sufficient youto
working need.
make your methods clear.
• Answers without working may not gain full credit.
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.
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1.
D C
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
• 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)
2
■■■■
, Question 1 continued
3
■■■■ Turn over
