Skip to content
Cambridge AS & A Level9231Frequently examined

Further Mathematics 9231: Equilibrium of a rigid body under coplanar forces Topical Past Paper Questions

Cambridge AS & A Level Further Mathematics (9231) past-paper questions on Equilibrium of a rigid body under coplanar forces, free. This topic is frequently examined across 21 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.

Sample questions

Summer (May/Jun) 2026Paper 3

A uniform lamina AEFGD is formed by removing two triangles from a square ABCD of side length $a$. Triangle FCG is isosceles and the two equal sides each have length $\frac{1}{2}a$. The angle between EF and BF is $\alpha$, where $\tan\alpha = \frac{1}{2}$ (see diagram). The centre…

Winter (Oct/Nov) 2025Paper 3

The lamina BFDE is obtained by removing triangles AED and BCF from a uniform square lamina ABCD of side 2a. The length of side AE is a and the length of side FC is h (see diagram). The centre of mass of BFDE is at a distance $ \overline{x} $ from AD, and at a distance $ \overline…

Winter (Oct/Nov) 2024Paper 3

The end A of a uniform rod AB of length 6a and weight W is in contact with a rough vertical wall. One end of a light inextensible string of length 3a is attached to the midpoint C of the rod. The other end of the string is attached to a point D on the wall, vertically above A. Th…

Sign in required

Full Equilibrium of a rigid body under coplanar forces question set, mark schemes and AI worksheets

Log in for the full topic-segregated question set, mark schemes, and AI worksheets built from every Further Mathematics past paper. New accounts start with 25 free credits.

Explore all Further Mathematics topics

All Further Mathematics topics