Equilibrium of a stiff plate on inclined planes

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Homework Help Overview

The problem involves a thin stiff uniform rectangular plate resting on two inclined surfaces, with angles α and β relative to the horizontal. The scenario explores the conditions for static balance when α + β = 90°, and whether equilibrium is possible under these circumstances.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the forces acting on the plate, including normal forces and weight, and question the angles these forces make with the plate and the horizontal. There are attempts to derive relationships between the angles and the conditions for stability.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the angles involved and the implications for stability. Some guidance has been offered regarding the relationship between the angles and the conditions for equilibrium, but no consensus has been reached.

Contextual Notes

Participants are navigating the complexities of static equilibrium and stability, questioning whether a stable configuration exists given the angles α and β. There is an emphasis on drawing diagrams to visualize the problem, and the distinction between equilibrium and stability is highlighted.

  • #31
Well the first problem is α+β = 90.
IT is the exact same problem.
Do i really need to start a new thread for the same question.
 
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  • #32
aang said:
Well the first problem is α+β = 90.
IT is the exact same problem.
Do i really need to start a new thread for the same question.
aang said:
and where α=45,β=60.
Those don't add to 90.
But more importantly, as with a new thread in a homework forum, you should show some attempt. A diagram employing the advances already made in this thread would be a good start.

Edit: aang has now started a new thread at https://www.physicsforums.com/threads/equilibrium-of-a-stiff-plate-on-inclined-planes.1004932/
 

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