❓Under what geometric condition does the centrifugal force on a particle of mass vanish in a rotating

Under what geometric condition does the centrifugal force on a particle of mass vanish in a rotating frame?

The centrifugal force vanishes if and only if the position vector x is parallel to the angular velocity vector $\omega(x \| \omega)$. This means the particle lies directly along the axis of rotation. In this case, the condition for vanishing force, $\omega(\omega \cdot x)=\omega^2 x$, is satisfied, and the term $\omega \times x=0$ in the original formula.

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Under what geometric condition does the centrifugal force on a particle of mass vanish in a rotating frame? | FAQsviadean on Notion