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A particle of mass m is placed at rest at the origin in a uniform horizontal...

A particle of mass m is placed at rest at the origin in a uniform horizontal magnetic field in the xˆ direction, B~ = B◦xˆ, in a uniform vertical gravitational field that is pointed down, ~g = −gzˆ.

Find x(t), y(t) and z(t).

Some hints: this problem is very similar to a charged particle in the presence of crossed E and B fields, and the answer turns out to be a curve known as a “cycloid.”

Science   Advanced-Physics   
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