Maximum Angle of Incline for four wheel drive

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Homework Help Overview

The discussion revolves around determining the maximum angle of incline for a four-wheel-drive vehicle, specifically focusing on the role of friction and the forces acting on the vehicle during ascent.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about the method and equations used to calculate the incline angle. Questions arise regarding the type of friction involved and the conditions under which the vehicle operates, such as whether it is moving uphill with slipping wheels.

Discussion Status

Participants are exploring various interpretations of the problem, questioning assumptions about friction and incline. Some guidance is offered regarding the relationships between the incline angle and the vehicle's center of mass, but no consensus has been reached on the correct approach or method.

Contextual Notes

There is mention of a coefficient of friction value (0.2), but its context (static or kinetic) remains unclear. Participants also question the validity of the assumptions made regarding the incline's surface conditions.

Laura2988
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Homework Statement
I am looking to find the maximum Angle of inclination that a vehicle can drive up. The vehicle has four wheels each with a motor attached
Mass of vehicle = 6075kg
gravity =9.81m/s^2
Coefficient of friction=0.2
Motor torque (total)=9000Nm
Wheel radius = 0.4m
Relevant Equations
How do you calculate this?
I think it will be between 11 and 12 degrees but don't know how to re-arrange the equation or if I was even using the correct method
 
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Is 0.2 the coefficient of kinetic or static friction? I assume that the vehicle goes uphill with the wheels spinning and slipping at the same time. The threshold condition is that the uphill force of kinetic friction balances the downhill component of the weight. Then the vehicle will move uphill at constant velocity,
 
Hello Laura, ##\qquad## :welcome: ##\qquad## !

Curious what it is you base your guess on ?

Read the guidelines and try to think of relationshiips between incline angle and position of center of mass.

Make a a sketch.

12 degrees is nothing for 4WD.

[edit] I missed the 0.2 -- did they lube the incline with oil or soap ?
 
Laura2988 said:
how to re-arrange the equation
What equation?
Laura2988 said:
if I was even using the correct method
What method?
 
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