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

[ao01]

TL;DR

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?

 

[BvU]

So by what mechanism would this object topple then ?
Perhaps you can describe some scenario ?

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[A.T.]

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

 

[ao01]

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.

 

[BvU]

calculate this with a certain equation

What have you got to put in such an equation ?

$\$

 

[Baluncore]

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.