From of Section 4.1, recall the equations of motion mx00 D

Chapter , Problem 35

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From of Section 4.1, recall the equations of motion mx00 D qBy0 ; my00 D qBx0 for a particle of mass m and electrical charge q under the influence of the uniform magnetic field B D Bk. Suppose that the initial conditions are x.0/ D r0, y.0/ D 0, x0 .0/ D 0, and y0 .0/ D !r0 where ! D qB=m. Show that the trajectory of the particle is a circle of radius r0.

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