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: 10 pts 3. A uniform rod of length L and mass m 1 is attached to a cart of mass m 2 by means of a spring with spring constant k (ﬁgure 3). There is a constant force F that is always applied perpendicular to the free end. The nonlinear equations of motion for this system in terms of the generalized coordinates θ and x are: ¨ L L L θ : I θ + m 1 g sinθ − k cosθ ( x − sinθ ) = FL (7) 2 2 2 L x : m 2 x ¨ + k ( x − sinθ ) = 0 (8) 2 Identify the equilibria and derive the linearized equations for small perturbations about the equilibria (you do not have to solve these equations). Figure 3: Cite as: Thomas Peacock, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]....
View
Full
Document
This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.
 Spring '05
 GeorgeKocur

Click to edit the document details