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

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Discussion Overview

The discussion revolves around determining whether an object will topple or slide without conducting a slope test. Participants explore the necessary calculations and factors influencing the stability of an object on an incline, particularly focusing on a scenario involving a 15-degree slope.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the existence of an equation to determine toppling versus sliding without a slope test and seeks guidance on relevant calculations.
  • Another participant questions the mechanisms that would lead to toppling and requests a scenario to illustrate this.
  • A participant identifies two critical ratios for consideration: the maximal lateral to normal force (related to the static friction coefficient) and the lateral to normal distance between the center of mass and the base of support boundary.
  • There is a repeated inquiry about the specific components that should be included in the equation for this analysis.
  • A participant mentions the requirement for a device to function on a 15-degree slope and provides a friction coefficient condition (u ≥ Tan(15°) = 0.268), while noting that factors such as the shape of the base, the position of the center of mass, and applied forces will significantly affect the outcome.

Areas of Agreement / Disagreement

Participants express various viewpoints on the factors influencing toppling and sliding, indicating that multiple competing views remain regarding the calculations and mechanisms involved. The discussion does not reach a consensus on a specific equation or method.

Contextual Notes

Participants highlight the importance of considering the shape of the base, the position of the center of mass, and external forces, which may complicate the calculations. There is an acknowledgment of the need for further clarification on the assumptions and definitions involved in the proposed equations.

Who May Find This Useful

This discussion may be useful for individuals interested in mechanics, stability analysis, and applications involving inclined surfaces in engineering or physics contexts.

ao01
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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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