16.61 Aerospace Dynamics Spring 2003 上 Xample Mass particle in a frictionless spinning ring Ring spins at constant rate a Spherical coordinate set (2-11) Two holonomic constraints o r= constant ·φ=ot+ po which gives the spin rate of the tube So only 1 doF- use 0 as the generalized coordinate Massachusetts Institute of Technology C How-Deyst 2003(Based on Notes by Blair 200216.61 Aerospace Dynamics Spring 2003 Example Mass particle in a frictionless spinning ring. Ring spins at constant rate ω m θ g r ω m θ g r ω Spherical coordinate set (2-11) Two holonomic constraints • r = constant • φ = ωt+φ0 which gives the spin rate of the tube So only 1 DOF � use θ as the generalized coordinate Massachusetts Institute of Technology © How-Deyst 2003 (Based on Notes by Blair 2002) 1