# Need Help Creating a Free Body Diagram of a Car on a Slope

• mjgarrin
In summary, the conversation discusses a free body diagram of a car traveling up a ramp at 30 degrees and asks for help in determining the sum of forces in the X and Y direction. The correct equations for finding these forces are provided and a link to further information on car performance is also given.
mjgarrin
Hello. I have attached an image of a free body diagram of a car traveling up a ramp at 30 degrees. I was wondering if anyone can help me determine the sumation of forces in the X and Y direction.

I understand that the forces in the Y-direction must be equal to zero or else the car will not stay on the ground. This is the formula I have come up with for this problem:

u = coeff. of friction

FN = mg / cos30

Fu = u x FN

F = force the car is moving under its own power

Sum of Forces in Y direction: FN x cos30 - mg = 0

Is this the correct equation for finding the forces in the Y direction?

Sum of Forces in X direction: F - Fu - (mg x sin30) = ma

Is this the correct equation for finding the forces in the X direction?

Any help would be appreciated. Thank you!

#### Attachments

• Free Body Diagram.jpg
20.3 KB · Views: 7,949
welcome to pf!

hello mjgarrin! welcome to pf!

(have a mu: µ and a theta: θ and a degree: ° )

first, your free body diagram is wrong, the mgcosθ is not a separate force and should not be there
mjgarrin said:
Sum of Forces in Y direction: FN x cos30 - mg = 0

Is this the correct equation for finding the forces in the Y direction?

no, the FN x cos30° and the mg are not in the Y direction, are they?
Sum of Forces in X direction: F - Fu - (mg x sin30) = ma

Is this the correct equation for finding the forces in the X direction?

yes

[PLAIN]http://hpwizard.com/images/hill-climbing.GIF

See http://hpwizard.com/car-performance.html" for more info (At the bottom of the page --> Theory»»Longitudinal acceleration»»Accelerating»»Hill climbing)

Last edited by a moderator:

## 1. What is a free body diagram?

A free body diagram is a visual representation of all the forces acting on an object. It helps to analyze the motion of the object and determine the net force acting on it.

## 2. How do I create a free body diagram of a car on a slope?

To create a free body diagram of a car on a slope, first, draw a dot to represent the car. Then, draw arrows to represent all the forces acting on the car, including the weight of the car, the normal force from the slope, and any other external forces such as friction or air resistance.

## 3. What is the purpose of creating a free body diagram for a car on a slope?

The purpose of creating a free body diagram for a car on a slope is to visually understand the forces acting on the car and how they affect its motion. This can help in analyzing the stability of the car on the slope and predicting its acceleration or deceleration.

## 4. What factors should I consider when creating a free body diagram of a car on a slope?

When creating a free body diagram of a car on a slope, you should consider the weight of the car, the normal force from the slope, any external forces such as friction or air resistance, and the angle of the slope. These factors will determine the magnitude and direction of the forces acting on the car.

## 5. Are there any tools or software that can help in creating a free body diagram of a car on a slope?

Yes, there are many tools and software available that can help in creating a free body diagram of a car on a slope. Some popular options include AutoCAD, SolidWorks, and Lucidchart. These tools provide a variety of tools and features to easily create accurate and detailed free body diagrams.

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