Mathematics M1,M2,M3 WME01: Centres of Mass Topical Past Paper Questions
Edexcel A Level Mathematics M1,M2,M3 (WME01) past-paper questions on Centres of Mass, free. This topic is frequently examined across 12 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
Figure 4 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A uniform lamina ABCD is in the shape of the region R The region R is bounded by the curve with equation $ y=\frac{1}{4}(x^{2}+8) $, the lin…
(a) Show, using algebraic integration, that the centre of mass of a uniform solid hemisphere $H$ of radius $a$ is a distance $\frac{3}{8}a$ from $O$, the centre of its plane face. [You may assume that the volume of the hemisphere is $\frac{2}{3}\pi a^{3}$] Figure 5 A uniform soli…
(a) Use algebraic integration to show that the centre of mass of a uniform semicircular disc of radius r and centre O is at a distance $ \frac{4r}{3\pi} $ from the diameter through O [You may assume, without proof, that the area of a circle of radius $ r $ is $ \pi r^2 $] (5) A u…
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