Robots and traction on an incline

  • Context: Undergrad 
  • Thread starter Thread starter mgordon
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    Incline Traction
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Discussion Overview

The discussion centers around the relationship between forces acting on Lego robots racing up an incline, specifically focusing on traction loss due to friction and gravity. The scope includes theoretical considerations and practical applications in a classroom setting.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • A high school teacher seeks to understand the relationship between friction and gravitational forces on an incline to predict when a robot will lose traction.
  • Some participants suggest separating the weight of the robot into components that are parallel and perpendicular to the incline to analyze the forces involved.
  • It is proposed that the friction force is determined by the perpendicular component of weight multiplied by the coefficient of friction.
  • There is a claim that the robot will be on the verge of slipping when the parallel component of weight equals the friction force, with the implication that slipping occurs when the parallel component exceeds this force.

Areas of Agreement / Disagreement

Participants generally agree on the need to analyze the forces acting on the robot, but the discussion remains exploratory without a consensus on the precise relationship or conditions for losing traction.

Contextual Notes

Limitations include assumptions about the robot being treated as a point mass and the dependence on the coefficients of friction and mass for predictions.

Who May Find This Useful

High school teachers, students in robotics or physics classes, and individuals interested in the mechanics of motion on inclines.

mgordon
I'm a high school teacher. I have students competing by racing Lego robots up an incline. I can calculate the force due to friction down the incline and the force of gravity parallel to the plane but am unable to clearly identify the relatioship between these two forces and whether a robot looses traction and begins to spin out. I know that weight distibution is a factor but considering the robot as a point mass, is there a relationship that I'm unaware of. I'd like to be able to predict at what incline a robot will begin to loose traction if the coefficients of friction and the mass of the robot are known.
 
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What class are you teaching?
 
I teach a class called intro to robotics where students learn about a variety of math and science concepts in a lab/hands-on type setting.
 
You will need to separate the weight of the robot into components parallel to and perpendicular to the incline. The friction force is the perpendicular component of weight times the coefficient of friction.

The robot will be on the edge of slipping when the parallel component of weight is equal to the friction force (and will slip as soon as it is larger).
 
Thanks,
That certainly makes sense. I will experiment in an attempt to verify this over the weekend.
 

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