A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid %3D x =E/QB(Qt – sinQt) y -E/ΩB(1-cosnt)

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A particle of mass m and charge e, initially at rest
at the origin, is subject to constant
fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it
moves on the cycloid
x -Ε/ΩΒ(Dt-sinQt)
y =E/QB(1 - cosQt)
in the plane z = 0, where Q = eB/m.
%3D
Transcribed Image Text:A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid x -Ε/ΩΒ(Dt-sinQt) y =E/QB(1 - cosQt) in the plane z = 0, where Q = eB/m. %3D
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