PHI 203 Final: PHYS 203 Princeton Final2003
Document Summary
Physics 203, fall 2003 final exam, january 17, 2004. Instructions: work the problems in the booklets provided with the exam. If you use more than one booklet, be sure to put your name on each one. 3 , 2 of 3 , etc: there are ve problems, all of the same weight, it is possible to do some parts of the problems without doing others. A bead of mass m slides without ction on a wire whose shape is z(r) = a( r a. The wire rotates about the z axis with constant velocity . earth"s gravity causes acceleration g along the z axis: by using cylindrical coordinates, write the lagrangian of the system. 2 mr2 2 mgz: find the equation of motion for the bead in terms of the coordinate r. Z = 4 (r/a)3 r; l = 1. L dr = 48mr5 r2/a6 + mr 2 4mg(r/a)3. L d r = m r + 16m(r/a)6 r d dt.
