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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)...
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