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

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SUMMARY

This discussion focuses on determining whether an object will topple or move without conducting a Slope Test, specifically on a 15-degree slope. Key factors include the maximal lateral to normal force (static friction coefficient) and the lateral to normal distance between the center of mass (CoM) and the base of support boundary. The friction coefficient must be greater than or equal to Tan(15°), which is approximately 0.268. Additionally, the shape of the base, the position of the CoM, and any external forces significantly influence the object's stability.

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  • Understanding of static friction coefficient
  • Knowledge of center of mass (CoM) concepts
  • Familiarity with basic mechanics and forces
  • Ability to calculate tangent values for angles
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  • Research the calculation of static friction coefficients in various materials
  • Learn about the effects of center of mass on stability in physics
  • Explore scenarios involving inclined planes and their impact on object stability
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Engineers, physicists, and designers involved in stability analysis of objects on slopes, as well as anyone developing devices intended for use on inclined surfaces.

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

##\ ##
 
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 ?

##\ ##
 
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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