This preview shows pages 1–2. 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: Particle Suspended on a Sti f Fiber next to an Attractive Wall Because the motion of the mass point is con f ned to a plane and the f ber has constant length L , the system has only one degree of freedom. In plane polar coordinates a suitable generalized coordinate is the polar angle , which will be measured from a y axis that points downwards. Ill imagine that the charged wall is to the left of the particle, so that the constant force F acts in the negative x direction (to the left), and will be positive when the mass point is displaced to the left from its rest position. Note that x = 0 corresponds to the particle hanging vertically ( = 0 ). The kinetic energy of the mass point is then T = m 2 ( x 2 + y 2 ) . (1) In the polar coordinate system we have x = L sin , y = L cos . (2) The minus sign is needed because is positive for displacements in the negative x direction. From this it follows that x = L cos , y = L sin , (3)...
View
Full
Document
This note was uploaded on 12/19/2010 for the course PHYSICS ph 409 taught by Professor Wilemski during the Fall '10 term at Missouri S&T.
 Fall '10
 Wilemski
 mechanics, Mass

Click to edit the document details