Section 12.5 Curvilinear Motion: Rectangular Components (page 34) RECTANGULAR COMPONENTS (page 1) Z S A k i j r = xi + yj + zk y x Position (a) fig 12_17a.jpg Copyright @ 2010 Pearson Prentice Hall, Inc. Z. x - y
Section 12.5 Curvilinear Motion: Rectangular Components (page 34) RECTANGULAR COMPONENTS (page 2) · Position: · Velocity: Speed: · Acceleration: Magnitude: a = vax + a3 + az Ÿ=xi+yj+z? x = x(t) y = y(t) Z = z(t) Magnitude: r = x2 + y2 + z2 ! V = d` _ = =r = vi + v j + v k ! ! dt X y Z X V =X y Vy =y! V =z! Z V=VÝx+Vy+ 2 ! dý = ! i=ai+aj + ak dt a =v =x "x ay =vy =y! a = vy = "!
Section 12.6 Motion of a Projectile (page 39) PROJECTILE EQUATIONS y a = g Vx Vo (vo)y 1 (Vo)x ? y Yo xo x fig 12_20.jpg Copyright @ 2010 Pearson Prentice Hall, Inc. · Horizontal motion x · Vertical motion = v 0 0 x x(t) = x0 + Vox1 Vy(t) = Voy ' gt '0y y(t) = yo +v t != gt2 2 v'(y) = v4 ! 2g(y ! yo) Voy = Vosin' o g = 9.81m/s2 = 32.2ft/s2