Forces in 2D - Vector Notation (Edexcel A-Level Mathematics): Flashcards

$\mathbf{F} = \begin{pmatrix} F_x \\ F_y \end{pmatrix}$

$F_x = F \cos(\theta)$

$F_y = F \sin(\theta)$

$\mathbf{F}_{\text{net}} = m\mathbf{a}$

$\sum F_x = m a_x$

$\sum F_y = m a_y$

Equal and parallel

$|\overrightarrow{a}| = \sqrt{x^2 + y^2 + z^2}$

$\overrightarrow{AB} = \overrightarrow{B} - \overrightarrow{A}$

Express forces as vectors in component form

Resolve forces into horizontal and vertical components

Apply Newton's second law: $\mathbf{F}_{\text{net}} = m\mathbf{a}$