edexcel level 3 advanced subsid8fm0/26 further mathematics options 26: further mechanics 2 (part of option j) may 2023

Edexcel Level 3

Advanced Subsid8FM0/26

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

May 2023

,1. Three particles of masses 4m, 2m and km are placed at the points with coordinates
(–3, –1), (6, 1) and (–1, 5) respectively.
Given that the centre of mass of the three particles is at the point with coordinates (x, y)
k
(a) show that x 
k 6
(3)
(b) find y in terms of k.
(2)
Given that the centre of mass of the three particles lies on the line with equation
y = 2x + 3
(c) find the value of k.
(2)
A fourth particle is placed at the point with coordinates (λ, 4).

Given that the centre of mass of the four particles also lies on the line with equation
y = 2x + 3

(d) find the value of λ.
(2)




2
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, Question 1 continued




3
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