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

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Forces in 2D - Vector Notation
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Force vector component form notation

F=(FxFy)\mathbf{F} = \begin{pmatrix} F_x \\ F_y \end{pmatrix}

Horizontal component of force at angle θ\theta

Fx=Fcos(θ)F_x = F \cos(\theta)

Vertical component of force at angle θ\theta

Fy=Fsin(θ)F_y = F \sin(\theta)

Newton's second law in vector form

Fnet=ma\mathbf{F}_{\text{net}} = m\mathbf{a}

Horizontal component equation for Newton's 2nd law

Fx=max\sum F_x = m a_x

Vertical component equation for Newton's 2nd law

Fy=may\sum F_y = m a_y

Property of opposite sides in a parallelogram

Equal and parallel

3D vector magnitude formula

a=x2+y2+z2|\overrightarrow{a}| = \sqrt{x^2 + y^2 + z^2}

Vector AB\overrightarrow{AB} from position vectors

BA\overrightarrow{B} - \overrightarrow{A}

First step in 2D forces vector method

Express forces as vectors in component form

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