Section 12.5 Curvilinear Motion: Rectangular Components (page 34) RECTANGULAR COMPONENTS (page 1) Z S 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 = yaz + az + az ?=xi+yj+z? x = x(t) y = y(t) Z = z(t) Magnitude: r = \ x2 + y2 + z2 v =. V = dr _ ! =r = vi + v j + vk dt X Z ! ! X V =X Vy =y V2 =z! Z y V=VÝx+¥}+v2 dv ! =v=? =ai +a j + ak ! ! dt `X y N a=v =x a y y z y
Section 12.6 Motion of a Projectile (page 39) PROJECTILE EQUATIONS y | a= g Vx (vo)y i Vo (Vo)x ? y Yo x xo x fig 12_20.jpg Copyright @ 2010 Pearson Prentice Hall, Inc. · Horizontal motion x · Vertical motion = v 0 0 x(t) = x +Vort Vy(t) = Voy ! gt '0y 1 2 y(t) = yo +Voyt ! = gt2 v?(y)=v2 ! 2g(y ! y,) Voy = Vosin !. g=9.81m/s2 = 32.2ft/$2