{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

T02.1 Vectors

# T02.1 Vectors - Vectors T02.1 Vector:A A A Magnitude...

This preview shows pages 1–10. Sign up to view the full content.

Vectors T02.1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Vector: A Magnitude A = | A | = length of A Direction Obeys parallelogram law of addition ± A ± A ± A ± B + ± ± A B G A ± A
Vector Resolution x z y F F x F z F y M z M x M y M = + + = + + = + + ± ± ± ± ± ± ± 2 2 2 x y z x y z x y z F F F F F i F j F k F F F F F

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Vector Addition Trigonometry (2D) Parallelogram law of addition Law of sines Law of cosines Vector resolution (2D & 3D) ( ) ( ) ( ) ( ) ( ) + = + + + + + = + + + + + + ± ± ± ± ± ± ± ± ± ± ± ± ± 1 2 1 1 1 2 2 2 1 2 1 1 2 2 1 2 x y z x y z x x y y z z A A A i A j A k A i A j A k A A i A A j A A A A k
Example Find: Compute the resultant, F R = F 1 + F 2 . x y z F 1 = 45 N F 2 = 60 N 35 o 40 o 30 o

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Unit Vector, u “Derivation” Definition = = ± ± ± A A A A Au A α β γ = = = + + = + + ± ± ± ± ± ± ± ± ± ± : (cos ) (cos ( ) : ) cos y x z A A A A A A A u i j k A A A A i j u A k x z y A A x A z A y
Position Vectors, r P & r AB x y z P (x,y,z) O x y z B (x B ,y B ,z B ) O A (x A ,y A ,z A )

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example Given: Speed of arrow is 50 ft/s Find: Assuming that the archer is a good shot and the effect of

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document