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Undergraduate Journal of Mathematical Modeling: One + Two

2020

Center of mass

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Full-Text Articles in Physical Sciences and Mathematics

Prosthetic Leg Model, Dang Nguyen Jan 2020

Prosthetic Leg Model, Dang Nguyen

Undergraduate Journal of Mathematical Modeling: One + Two

The main goal of this paper is to introduce an imitated prosthetic leg model by analyzing the applied forces. Even though the model is based on the idea of a prosthetic leg, it is also applicable to people without disabilities. The same concept of the model can be seen in the circus, where a person maintains a balanced state while on an incredible height without falling. When all the applying forces in the system are calculated, the design achieves the ideal state which allows it to function most effectively. One of the essential factors applied to the imitated prosthetic leg …


Locating The Center Of Mass Of Various Simplified Car Designs For The Problem Of Flipping Over An Incline, Sullivan Musgrove Jan 2020

Locating The Center Of Mass Of Various Simplified Car Designs For The Problem Of Flipping Over An Incline, Sullivan Musgrove

Undergraduate Journal of Mathematical Modeling: One + Two

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 …