Cambridge Maths Academy

Pure mathematics Year 2 Here's a short introduction to Pure maths 2 Chapter 2 Functions and graphs. 2.1 The modulus function: Understand and use the modulus function. 2.2 Functions and mappings: Understand mappings and functions, and use domain and range. 2.3 Composite functions: Combine two or more functions to make a composite function. 2.4 Inverse functions: Know how to find the inverse of a ..

Further mechanics 1 Table of contents Hooke's law Units Modulus of elasticity ($\lambda$) Examples Exercise 3A 1. Hooke's law When an elastic string or spring is stretched, the tension, $T$, produced is proportional to the extension, $x$. $$ \begin{align} T \propto x \\ \\ \Rightarrow \qquad T = kx \end{align} $$ where $k$ is a constant. The constant $k$ depends on the unstretched length of the ..