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Do the sensor variables of z, x, y, and zprime correspond to forces acting on the object?

In the case of C#, if we have some object, we know that force is “vector” and Newton’s second law is:
$F = m\ddot{x}$
If we now take one of the Z or Z’ variables, do we get $\ddot{z}$? Or, do the Z and Z’ variables correspond to forces that are applied to the object, in other words, would this equation apply to the Z or Z’ sensor variables?
$F = m\ddot{z}$

The mathematical expression for forces is in world space, as observed.
$$F = m\ddot{x}$$
$$F = m\ddot{x} – m \dot{\beta}^2 \left( \frac{x}{l} \right)$$
$$F = m\ddot{x} – m \dot{\beta}^2 \cos \theta$$
$$F = m\ddot{x} – m\dot{\beta}^2 \sin\theta \cos \theta = m\ddot{x} – m\dot{\beta}^2 \sin \theta$$
where $x$ and $\theta$ are real valued and the length of the rod is given by $l$.
As a consequence the sensor variables z, x, y and z’ are not forces in real space, but in principle you can associate them with real forces, as you can read from the above.

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