05 - 2D particle kinematics - Motion in x-y coordinates

05 - 2D particle kinematics - Motion in x-y coordinates -...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
2D Particle Kinematics – Motion in x-y coordinates Position: Vector definition – position vector 22 ˆˆ () () , tan / rt xti yt j r x y y x θ =+ = + = G Velocity: average velocity 21 ave rr r ttt υ Δ == Δ G G G G , instantaneous velocity , / xy x yx y dr ij dt dx dy dt dt υυ y x α ==+ ⇒= = = + = G G Acceleration: average acceleration ave a tt t Δ Δ G G G G , instantaneous acceleration 2 2 / y x x y dd r aa i a j dt dt d d dx dy a a a dt dt dt dt β ⇒= = = = = + = G y x a a G G Projectile motion Horizontal motion – constant velocity: 00 0 0 cos (c o s) x x a x xt υυ α = = Vertical motion – constant acceleration: 2 0 sin 1 (s i n ) 2 i n ) 2 ( ) y y y ag gt 0 y yt g t g yy υα υυα =− NOTE: 1. Projectile motion is determined by its initial velocity: υ 0 and α 0 . 2. The initial angle α 0 is positive/negative if the projectile is launched above/below the horizontal.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

05 - 2D particle kinematics - Motion in x-y coordinates -...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online