How to calculate the angle at which a cylinder topples?

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    Angle Cylinder
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Discussion Overview

The discussion revolves around calculating the angle at which a cylinder topples over, focusing on the role of the center of mass in this process. Participants explore theoretical aspects rather than practical applications or homework-related queries.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant mentions knowing the mass, length, and width of the cylinder and suggests that finding the center of mass is necessary for determining the toppling angle.
  • Another participant questions how the center of mass should be utilized to determine the conditions for toppling, asking where it needs to be positioned to prevent or cause toppling.
  • A different participant expresses uncertainty about the relationship between the mass of the cylinder and its toppling angle.
  • One participant provides a general definition of the critical angle, describing it as the angle between the vertical/horizontal and the line from the center of mass to the edge of the cylinder that is about to topple.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the specific calculations or relationships involved in determining the toppling angle, indicating that multiple views and uncertainties remain in the discussion.

Contextual Notes

There are unresolved questions regarding the influence of mass on the toppling angle and the specific calculations needed to determine the center of mass's role in this context.

help12345
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I know the mass, length, and width of a cylinder. How do I calculate the angle at which the cylinder topples over? A quick Google search tells me that I need to find the cylinder's center of mass, which should be the actual center of the cylinder.


This is for a personal project and not homework related. I was unable to reply to Mark44's private message so I'm stating it here.
 
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What do think you should do with the center of mass? Where's it going to be to not topple, or to topple?
 
Bystander said:
What do think you should do with the center of mass? Where's it going to be to not topple, or to topple?
Don't know...
Does the mass of the cylinder affect it's "toppling angle"?
 
In general, the critical angle, or the angle at which an object is about to topple is the angle between the vertical/horizontal and the line passing through the centre of mass and the edge over which the object is about to topple.
 

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