Edexcel M5 2002 June — Question 4 9 marks

Exam BoardEdexcel
ModuleM5 (Mechanics 5)
Year2002
SessionJune
Marks9
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMoments of inertia
TypeProve MI by integration
DifficultyChallenging +1.2 This is a Further Maths M5 question requiring integration to find moment of inertia, which is inherently more advanced than standard A-level. However, it's a relatively standard setup (equilateral triangle about an edge) with straightforward geometry and a single integral to evaluate, making it a typical FM mechanics question rather than an exceptionally challenging one.
Spec6.04c Composite bodies: centre of mass

4. A uniform plane lamina of mass \(m\) is in the shape of an equilateral triangle of side \(2 a\). Find, using integration, the moment of inertia of the lamina about one of its edges.

4. A uniform plane lamina of mass $m$ is in the shape of an equilateral triangle of side $2 a$. Find, using integration, the moment of inertia of the lamina about one of its edges.\\

\hfill \mbox{\textit{Edexcel M5 2002 Q4 [9]}}