Maximum Angle of Incline for four wheel drive

[Laura2988]

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

 

[kuruman]

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,

 

[BvU]

Hello Laura, $\qquad$ $\qquad$ !

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 ?

 

[haruspex]

how to re-arrange the equation

What equation?

if I was even using the correct method

What method?