I Determining whether an object will topple or move without a Slope Test

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To determine whether an object will topple or move without a slope test, focus on the ratios of maximal lateral to normal force (static friction coefficient) and the distance between the center of mass and the base of support. The friction coefficient must be greater than or equal to the tangent of the slope angle, in this case, 15 degrees, which is approximately 0.268. Additionally, the object's base shape, center of mass position, and any external forces will significantly influence its stability. A specific equation can be formulated to calculate these factors, allowing for predictions without physical testing. Understanding these principles is essential for designing a device that can operate safely on inclined surfaces.
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Determining whether an object will topple or move without a Slope Test
I want to determine whether an object will topple or move without a Slope Test. Is there an equation for this? What should I pay attention to when calculating this?
 
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So by what mechanism would this object topple then ?
Perhaps you can describe some scenario ?

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ao01 said:
What should I pay attention to when calculating this?
There are two ratios involved:
- maximal lateral to normal force (static friction coefficient)
- lateral to normal distance between center of mass and the base of support boundary
 
BvU said:
So by what mechanism would this object topple then ?
Perhaps you can describe some scenario ?

##\ ##
I want a device to be able to be used on a 15-degree slope, and I want to be able to calculate this with a certain equation without testing.
 
ao01 said:
calculate this with a certain equation
What have you got to put in such an equation ?

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ao01 said:
I want a device to be able to be used on a 15-degree slope, and I want to be able to calculate this with a certain equation without testing.
The friction coefficient, u ≥ Tan( 15° ) = 0.268
But the shape of the base, the position of the CoM, and any forces applied to the resting device will change the game.
 

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