Topic 43Mathematics (Edexcel)

Further Statics

Further Statics — Edexcel International A-Level Mathematics (Unit 7 / Mechanics 3 (M3)). Covers: Toppling and Sliding — a rigid body on a rough surface either slides (when friction limit μR is exceeded) or topples (when the line of weight passes outside the base), and the body does whichever happens first as the angle of inclination or the applied force increases.

Practice questions

Toppling and SlidingSign up

be able to determine whether a rigid body on a rough inclined surface will slide first or topple first as the angle of inclination increases (slides when tan θ = μ; topples when tan θ = a/h — does whichever happens at the smaller angle) · be able to determine whether a rigid body on a rough horizontal surface will slide first or topple first as an applied horizontal force increases (slides when F = μW; topples when F·h = W·a — does whichever happens at the smaller F)

40 min