How to calculate the angle at which a cylinder topples?

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To calculate the angle at which a cylinder topples, one must determine the position of its center of mass, which is typically at the cylinder's center. The critical angle for toppling is defined as the angle between the vertical or horizontal and the line connecting the center of mass to the edge of the base. The mass of the cylinder does influence the toppling angle, but the geometry and distribution of mass are more critical factors. Understanding the relationship between the center of mass and the base edge is essential for determining stability. Proper calculations can help in assessing the conditions under which the cylinder will remain upright or topple over.
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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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