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: m in 3D Cartesian space is trapped in a plasma field which exerts an applied conservative force k z F = , for which the potential energy is 2 2 1 z V = , under the nonholonomic constraint ) ( =+ z y x x . The generalized coordinates in the 3D Cartesian space are ( x, y, z ), and the position vector is k z j y i x r + + = . Treat x as the dependent coordinate (i.e. x is the dependent generalized velocity, while y and z are the independent generalized velocities). Find the equation of motion corresponding to z , using the method of your choice. Neglect gravity. (You do not need to eliminate x from the final answer, if it shows up.)...
View
Full
Document
This note was uploaded on 03/15/2010 for the course ME 861 taught by Professor Shaw during the Spring '07 term at Michigan State University.
 Spring '07
 SHAW

Click to edit the document details