Vehicle Data:

- \(W = \text{weight} = 3045 \, \text{lbf}\)
- \(\text{WF/WR} = \text{weight distribution front/rear} = 58/42\)
- \(L = \text{wheelbase} = 100.8 \, \text{in}\)
- \(H = \text{CG height} = 19.9 \, \text{in}\)
- \(T = \text{track} = 62.3 \, \text{in}\)
- \(\text{Total mechanical trail} = 0.95 \, \text{in}\)

Tires:

- Front: P265/40ZR-18
- Rear: P295/30ZR-18

Minimum Stopping Distance from 60 mph:

- 128 ft

Tasks:

1. Find the total lateral force acting at the front and rear tires of the vehicle while driving around a 600 ft radius curve at 80 mph.

2. Assuming a static weight distribution front to rear, and a 75/25 weight shift to the outside, find the slip angles on the front and rear tires. Use the tire data from the following page and assume the lateral force distributes the same as the weight shift to the outside of the vehicle.

3. Find the torques about each kingpin axis for the tires defined by the tire data on the following page. The inside tire is operating at 2.6 degrees of slip angle and the outside tire is operating at 3.4 degrees of slip angle. The inside front wheel has a normal load of –700 lbf and the outside front wheel has a normal load of -1300 lbf.

The question involves using Physics principles like Newton's Second Law, and the concepts of circular motion and statics to calculate lateral forces on tires, slip angles, and torques in a moving vehicle. These calculations are essential for understanding vehicle dynamics.

Explanation:

The question relates to the application of several physical principles to a specific situation involved in driving a vehicle around a curve at a certain speed. The primary physics involved are Newton's Second Law, the equations of circular motion (centripetal force), and principles of statics applying to the car's weight distribution.

Firstly, you would calculate the total lateral forces acting on the front and rear tires using the values of the car's velocity and the radius of the curve, factoring in the car's weight distribution.

Secondly, given a weight shift and assuming the static weight distribution, you would calculate the slip angles on the front and rear tires, using the information provided regarding tire data, weight distribution, and weight shift to the outside.

Lastly, using this data and the provided tire load values, you would calculate the torques about each kingpin axis for the tires. The resulting values would provide realistic expectations for the vehicle's handling under these conditions.

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