When the orientation of the object changed, how to measure the force on each support point?

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Thank you for your interest in my question.
If we assume that there is a box with x, y, z-axis lengths of [1, 0.5, 0.2] (m) , weight is m=100kg,
and set the center point as the origin frame. At this time, if we support the force of m*g/4 at each of the four points [0.5, 0.25, -0.1], [0.5, -0.25, -0.1], [-0.5, -0.25, -0.1], [-0.5, 0.25, -0.1], the object will stay statically.
Then, if the box rotates 30 degrees about the x-axis, I can't measure the force applied at the four corners of the box.
As the box rotates, the coordinate frame of the corner also rotates.
If the box rotates 45 degrees for y-axis after rotating 30 degree for the x-axis,
how should we apply force to each point so that the box stays still?
  3 Comments
Yifeng Tang
Yifeng Tang on 31 Aug 2024
I think there are multiple question here.
(1) how to find the magnitude and direction of the forces needed to balance the brick?
Do you have a way to calculate this? You have 4 supporting points and I believe the solution is NOT unique.
(2) how to apply the force properly?
When applying a force using the external force & torque block, there is an option on Force Resolution Frame. Choosing "World" vs "Attached Frame" can give you very different results.

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