A-level Further Mathematics₇₃₆₇

Hooke’s Law including using modulus of elasticity.

Use of $\mathit{T}\mathsf{=}\mathit{k}\mathit{x}$ or $\mathit{T}\mathsf{=}\frac{\mathit{\lambda }}{\mathit{l}}\mathit{x}$

Work done by a variable force. Use of $\mathit{W}\mathit{D}\mathsf{=}\mathit{}\mathsf{\int }\mathit{F}\mathrm{d}\mathit{x}$ .

Use in conservation of energy problems.

Elastic potential energy using modulus of elasticity. Use of $\mathit{E}\mathit{P}\mathit{E}\mathsf{=}\frac{\mathit{k}{\mathit{x}}^{\mathsf{2}}}{\mathsf{2}}$ and $\mathit{E}\mathit{P}\mathit{E}\mathsf{=}\frac{\mathit{\lambda }{\mathit{x}}^{\mathsf{2}}}{\mathsf{2}\mathit{l}}$ .

Use in conservation of energy problems.

Motion of a particle moving in a circle with constant speed (knowledge of radians assumed).

Understand the definition of angular speed.

Use both radians and revolutions per unit time.