16.61 Aerospace Dynamics Spring 2003 E ample z o Conical pendulum r=L X Cartesian Coordinates pherical coordinates ,y, n=2(6,c m=1(x2+y2+z=R 0 DOF=2 DOF=2 Example 3 o two particles at a fixed distance( dumbbell) Coordinates n EOC'S DOF Massachusetts Institute of Technology C How, Deyst 2003( Based on notes by Blair 200216.61 Aerospace Dynamics Spring 2003 Massachusetts Institute of Technology © How, Deyst 2003 (Based on notes by Blair 2002) 8 Example 2 o Conical Pendulum θ φ r = L x y z θ φ r = L x y z Cartesian Coordinates Spherical Coordinates n = 3 (x, y, z) n = 2 (θ, φ) m = 1 (x2 + y2 + z2 = R2 ) m = 0 DOF = 2 DOF = 2 Example 3 o Two particles at a fixed distance (dumbbell) Coordinates: n = m = EOC’s = DOF =