- #1

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## Homework Statement

The position of a participle in a fixed inertial frame of reference is given by the vector

r = i(x

_{0}+ Rcos(Ωt)) +j(Rsin(Ωt))

where x

_{0}, R and Ω are constants.

a) Show that the particle moves in a circle with constant speed

## Homework Equations

F = mv

^{2}/r

## The Attempt at a Solution

r = r'

where r' is the non-inertial reference frame

dr/dt = i(-RΩsin(Ωt)) + j(RΩcos(Ωt))

I can transform it to a non-inertial reference frame v' using

v = v' + (ω × r')

but since r = r' then

v = v' + (ω × r')

But I'm not sure where that leads me

I also had another thought where if the curl of the velocity in the inertial frame is non-zero does that prove the object is moving in a circular motion? Since the curl is a circulation density.