Particle moves in a plane, and i've found that x.n=k

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The discussion focuses on the motion of a particle in a plane, specifically addressing the equation x.n=k, where n=w/|w|. This relationship indicates that the particle's motion is constrained to a circular path. Additionally, the problem involves a fly moving with a constant speed v along a spoke of a wheel rotating at an angular speed w, with the goal of determining its distance from the center at time t and the angle theta formed with the original direction, which is wt.

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jackbauer
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Hi people, could someone please help with the following:

If a particle moves in a plane, and I've found that x.n=k where n=w/|w|, then how do i go about showing that the particle moves in a circle?

A fly moves with constant speed v along the spoke of a wheel rotating with angular speed w. Starting from the center of wheel at time t=0, find it's distance at t. Show that the angle theta made between the spoke and the original direction is wt.


Any help would be welcome, cheers,
JB
 
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