This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 2.032 DYNAMICS Fall 2004 Problem Set No. 10 Out : Wednesday, November 24, 2004 Due : Wednesday, December 1, 2004 at the beginning of class Problem 1 The system below consists of a massless hollow cylindrical tube, joined to a vertical shaft at the point O. The tube is fixed in direction and = / 4. Inside the tube, moves without friction a mass m which is connected to O through a spring of stiffness k and neutral length of r . Assume that the shaft is rotating with angular velocity about its axis. Using r , as generalized coordinates: (a) Reduce the problem to a onedegreeoffreedom problem for r , that has only potential active forces. (b) Find the equilibria for the reduced system and investigate the stability using Dirichlet theorem. (c) Sketch the trajectories on the ( r , r ) phase plane. Select all parameters to be equal to one, including gravity g. 1 Courtesy of Prof. T. Akylas. Used with permission. Problem 2 (adapted from PhD Qualifying Exam 2003) Reconsider Problem 2 of PS No. 5. Using the same notation,Reconsider Problem 2 of PS No....
View
Full
Document
This note was uploaded on 02/24/2012 for the course MECHANICAL 2.032 taught by Professor Georgehaller during the Fall '04 term at MIT.
 Fall '04
 GeorgeHaller

Click to edit the document details