Lec10(3) - 1 Example Falling Stick 2.003J/1.053J Dynamics and Control I Spring 2007 Professor Thomas Peacock Lecture 10 2D Motion of Rigid Bodies

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Unformatted text preview: 1 Example: Falling Stick 2.003J/1.053J Dynamics and Control I, Spring 2007 Professor Thomas Peacock 3/12/2007 Lecture 10 2D Motion of Rigid Bodies: Falling Stick Example, Work-Energy Principle Example: Falling Stick Figure 1: Falling Stick. Stick has mass, M and Length, L . Figure by MIT OCW. What is the equation of motion if the stick slides without friction along flat a surface? Application: Joint slipping and sliding. Uniform Rod: Center of Mass C. Kinematics Constraint: y B = 0 ⇒ 3- 1 generalized coordinates So we choose x C , φ to be the generalized coordinates because body is rigid. x B is related to x C . Forces not asked for in problem. L r C = x C e ˆ x + sin φe ˆ y 2 Cite as: Thomas Peacock and Nicolas Hadjiconstantinou, 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]. Cite as: Thomas Peacock and Nicolas Hadjiconstantinou, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology....
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This note was uploaded on 11/29/2011 for the course CIVIL 1.018j taught by Professor Markusbuehler during the Fall '08 term at MIT.

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Lec10(3) - 1 Example Falling Stick 2.003J/1.053J Dynamics and Control I Spring 2007 Professor Thomas Peacock Lecture 10 2D Motion of Rigid Bodies

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