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Please how to determine torque and force at center of mass of a tilted block with uniform density, width $w$ and mass $m$ making an angle $\theta$ with ground?

I have an idea:

If the block is resting only on the bottom left corner, calculate torque at bottom left corner. Calculate rotation due to torque around the corner in an interval $t$. Compute equivalent displacement from the center and rotation around the center Compute torque and force at center of mass from displacement and rotation in the interval $t$.

If the block is resting only on the other corner do the same but with this latter.

I wonder how to calculate torque at a corner and if my idea is correct.

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  • $\begingroup$ Torque due to a force is always calculated with $$ \vec{\tau} = \vec{r} \times \vec{ F }$$ where $\times $ is the vector cross product. $\endgroup$
    – jalex
    Commented Dec 11 at 16:12
  • $\begingroup$ Is the object at rest or moving, and is there only one contact point? $\endgroup$
    – jalex
    Commented Dec 11 at 16:13
  • $\begingroup$ A block resting on one corner only has three possible rotation angles. The body is free to rotate about this point. So you cannot simply predict the angle in the future with algebra, as you need a simulation to find the future state. $\endgroup$
    – jalex
    Commented Dec 11 at 16:25
  • $\begingroup$ The object is rotating around the corner that touches the ground $\endgroup$
    – Abel
    Commented Dec 11 at 17:02

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