Scholar Commons > College of Arts and Sciences > Mathematics and Statistics > UJMM: One + Two > Vol. 11 > Iss. 1 (2020)

#### Article Title

#### Publication Year

2020

#### Abstract

The center of mass of a given system is referred to as a position that is the average of all of its components. I am given two cases in which I need to find the center of mass for the problem of flipping over an incline. To solve the problem given, I utilize many equations that are derived to find the center of mass of both cases and then test each system when it is encountered with three different inclines increasing by fifteen degrees increments. The tests prove that the probability that a system will flip on an incline is due to many factors, the main of them being the height of the system, the area of support, as well as the weight of the system. This method of solving is not the most time-efficient one to find the center of mass and flipping probability; however, it does work and gives a viable solution.

#### Recommended Citation

Musgrove, Sullivan
(2020)
"Locating the Center of Mass of Various Simplified Car Designs for the Problem of Flipping Over an Incline,"
*Undergraduate Journal of Mathematical Modeling: One + Two*:
Vol. 11:
Iss.
1, Article 6.

DOI: https://doi.org/10.5038/2326-3652.11.1.4925

Available at:
https://scholarcommons.usf.edu/ujmm/vol11/iss1/6

#### Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.

#### Included in

#### Advisors:

Arcadii Grinshpan, Mathematics and Statistics

Dmitri Voronine, Physics

#### Problem Suggested By:

Dmitri Voronine, Physics