The centrifugal force in component notation is:$F_c^i=m\left[\omega^i\left(\omega^j x^j\right)-\omega^2 x^i\right]$. This formula takes the difference between the i-th component of two terms-one parallel to $\omega$ (Term 1) and one parallel to $x$ (Term 2)-multiplies the result by the mass $m$, and yields the i-th component of the centrifugal force. This rearrangement isolates the dependence on the position components ( $x^j$ and $x^i$ ) so the coefficient of $x$ can be cleanly identified as the centrifugal tensor $T^{i j}$.
What is the form of the centrifugal force in component notation before identifying the tensor-L.mp4