# Compute the reaction in the front wheels

• MHB
• Joe_1234
In summary, to determine the reaction in the front wheel of a car brought to a stop in 5 seconds, we would need to first calculate the total mass of the car and its load. Then, we can use the principle of moments to calculate the reaction force in the front wheel, which would be equal to the weight of the car and its load. In this case, the reaction force would be 30kN.
Joe_1234
A car and its load weighs 30kN and the center of gravity is 0.6 m from the ground and midway between the front and rear wheels which are 3m apart. The car is brought to rest from a speed of 50 kph in 5 sec by means of the brakes. Compute the reaction in the front wheel.

Based on the information provided, the first step would be to calculate the total mass of the car and its load. Using the formula F=ma, where F is the force, m is the mass, and a is the acceleration, we can rearrange the formula to solve for the mass: m=F/a. In this case, the force (weight) is given as 30kN and the acceleration can be calculated as the change in velocity (50 kph or 13.89 m/s) divided by the time (5 sec). So the mass of the car and its load would be 30kN/13.89 m/s/5 sec = 1.08 metric tons.

Next, we can calculate the center of mass of the car and its load. This is given as 0.6 m from the ground and midway between the front and rear wheels, which are 3m apart. This means that the distance from the front wheel to the center of mass would be 1.5m and the distance from the rear wheel to the center of mass would also be 1.5m.

To determine the reaction in the front wheel, we can use the principle of moments, which states that the sum of the moments (or torques) acting on an object must equal zero for the object to be in equilibrium. In this case, we can calculate the moment of the front wheel by multiplying the reaction force (unknown) by the distance from the front wheel to the center of mass (1.5m). We can also calculate the moment of the rear wheel by multiplying the weight of the car and its load (30kN) by the distance from the rear wheel to the center of mass (1.5m). Setting these two moments equal to each other and solving for the unknown reaction force, we get:

Reaction force in front wheel = (30kN * 1.5m) / 1.5m = 30kN

Therefore, the reaction in the front wheel would be 30kN. This means that the brakes would need to generate a force of 30kN to bring the car to a stop in 5 seconds. It is important to note that this is a simplified calculation and does not take into account other factors such as friction, air resistance, and the distribution of weight within the car. However, it provides a basic understanding of the forces at play in this scenario.

## 1. What is the purpose of computing the reaction in the front wheels?

The purpose of computing the reaction in the front wheels is to determine the amount of force or load that is being applied to the front wheels of a vehicle. This information is important for understanding the stability and handling of the vehicle.

## 2. How is the reaction in the front wheels calculated?

The reaction in the front wheels is calculated by using the principles of Newton's laws of motion. The weight of the vehicle, as well as any additional forces acting on the front wheels, are taken into account to determine the reaction force in the front wheels.

## 3. What factors can affect the reaction in the front wheels?

There are several factors that can affect the reaction in the front wheels, including the weight and distribution of the vehicle, the speed and direction of the vehicle, and the condition of the road surface. Other external forces, such as wind or friction, can also impact the reaction in the front wheels.

## 4. Why is it important to know the reaction in the front wheels?

Knowing the reaction in the front wheels is important for several reasons. It can help engineers design vehicles that are safe and stable, as well as improve the overall performance and handling of the vehicle. It is also crucial for understanding the limitations and capabilities of a vehicle in different driving conditions.

## 5. How does the reaction in the front wheels affect the overall driving experience?

The reaction in the front wheels plays a significant role in the overall driving experience. It affects the steering and handling of the vehicle, as well as its stability and traction on the road. A well-computed reaction in the front wheels can result in a smoother and safer driving experience, while an imbalanced or incorrect reaction can lead to handling issues and potential accidents.

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