- #1

inner08

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## Homework Statement

A car of mass 1200kg has a distance (front to back) of 3.0m. On a horizontal surface, the front tires hold 60% of the weight. The CM is located at 0.8m off the road. Find the normal force on each wheel when the car is at rest on an incline of 20 degrees. The car is oriented in the sens of the hill.

## Homework Equations

## The Attempt at a Solution

I'm having some trouble putting all my forces together. I drew out an FBD but I'm not sure how to incorporate the CM and the front/back distance into the equations.

So far, this is what I have:

I figured one normal force for the front tires, and another normal force for the back tires.

Fy: N1 + N2 - Fg = 0

N1 + N2 - mgcos= 0

Fx: Ff1 + Ff2 = ma

-mgsintheta - mgsintheta = ma

sum torque: (Ff1 + Ff2)H + (N1-N2)D/2 = 0

H = CM height

D = distance between the front and back

I'm pretty sure the sum torque is wrong...but hopefully I atleast got the Fx and Fy correctly. Any help is appreciated!

Thanks,