EBK PHYSICS FOR SCIENTISTS & ENGINEERS
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 27, Problem 37P

(III) A particle with charge +q and mass m travels in a uniform magnetic field B = B 0 k ^ . At time t = 0, the particle’s speed is υ0 and its velocity vector lies in the xy plane directed at an angle of 30° with respect to the y axis as shown in Fig. 27–47. At a later time t = tα, the particle will cross the x axis at x = α. In terms of q, m, υ0, and B0, determine (a) α, and (b) tα.

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Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible.  Experiment with changing c to find the critical damping constant.  Use the same initial conditions as in the last problem.  Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.

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Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY