How to resize a tilted dynamic component so that it resizes on the tilted axis

how to resize a tilted dynamic component so that it resizes on the tilted axis

Set the component axes so that it’s not “tilted”. This applies to ANY component, not just Dynamic Components.
Tilted Component Axes

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If you insert this component into another that has axes in different positions, can the internal one be resized in its own axes even if it is inside another with different axes?

I see no reason you can’t, but since you mention dynamic components, it might make the math in your dynamic attributes more difficult.

what I am trying to do is that I have a cube inside of which I have a cylinder, both dynamic components, when I try to change the dimension of the cylinder, that is, the length is scaled but on the z axis of the cube not of the cylinder it is possible to make it scale at tilt angle

Can you upload the full component - outer and inner? And perhaps, with that, I’ll understand your description of what you’re trying to do!