Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 26 Further Mechanics 2 QP & MS JUNE 2024

Pearson Edexcel GCE In Further
Mathematics (8FM0) Paper 26 Further
Mechanics 2 QP & MS JUNE 2024

, Afternoon


Further Mathematics
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Advanced Subsidiary
Further Mathematics options
26: Further Mechanics 2
(Part of option J)




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P75676A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/

,1.
A 4a B 2a C




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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




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• 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.
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, Question 1 continued
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(Total for Question 1 is 7 marks)

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