16.61 Aerospace Dynamics Spring 2003 Why Lagrange(or why NOT Newton) Newton -Given motion deduce forces Rotating launcher FBD of projectile N g Or given forces-solve for motion Spring mass system F m Great for simple systems Massachusetts Institute of Technology C How, Deyst 2003( Based on notes by Blair 2002)16.61 Aerospace Dynamics Spring 2003 Massachusetts Institute of Technology © How, Deyst 2003 (Based on notes by Blair 2002) 2 Why Lagrange (or why NOT Newton) • Newton – Given motion, deduce forces ω Rotating Launcher N mg FBD of projectile • Or given forces – solve for motion Spring mass system m1 m2 x1 x2 F x2 t Spring mass system m1 m2 x1 x2 F x2 t Great for “simple systems