- #1
jasonchiang97
- 72
- 2
Homework Statement
The position of a participle in a fixed inertial frame of reference is given by the vector
r = i(x0 + Rcos(Ωt)) +j(Rsin(Ωt))where x0, R and Ω are constants.
a) Show that the particle moves in a circle with constant speed
Homework Equations
F = mv2/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.