Math 1060 - Modeling the Motion of a Spring Assignment
In April of 2012, I completed a project for Math 1060 titled, Modeling the Motion of a Spring. The purpose of the assignment was to assume a weight attached to a spring was set in motion from a position below equilibrium with a specified downward velocity. A function was then generated that gives the position of the weight as a function of time, by utilizing graphing software and trigonometric identities.
Mass spring systems are utilized in everyday life. An example is a dynamic vibration absorber, which is a tuned spring-mass system that reduces noise and vibration associated with excited mechanical systems. These excited systems can be anything from rotating machines such as engines, motors, and pumps that produce elevated vibration and noise levels. The dynamic absorbers are fixed to the systems and tuned to counteract the vibration and noise waves produced by the machines. In systems such as these, it is important that the amplitude, period, and frequency of the mass spring system be property tuned to mimic the vibrational waves produced by the machine. If these variables are not correctly achieved, the vibration and noise produced by the machine systems will not be properly absorbed and could be transmitted to the surroundings. A proper dynamic absorber will neutralize vibration and noise, which could cause mechanical damage. Additionally, a mass spring system can be used to dampen noise and vibration produced by subway trains. The placement of properly tuned dampening systems along the subway tunnels absorbs noise that could cause safety concerns for the public, utilizing the transit systems.
Prior to completing this assignment, I did not fully realize the impact that trigonometry has on everyday life. Mass spring systems were a new concept to me. I am looking forward to further applying the concepts I have learned in this class to higher level physics and engineering studies. Click on the below link to view the above referenced assignment.
Modeling the Motion of a Spring
Mass spring systems are utilized in everyday life. An example is a dynamic vibration absorber, which is a tuned spring-mass system that reduces noise and vibration associated with excited mechanical systems. These excited systems can be anything from rotating machines such as engines, motors, and pumps that produce elevated vibration and noise levels. The dynamic absorbers are fixed to the systems and tuned to counteract the vibration and noise waves produced by the machines. In systems such as these, it is important that the amplitude, period, and frequency of the mass spring system be property tuned to mimic the vibrational waves produced by the machine. If these variables are not correctly achieved, the vibration and noise produced by the machine systems will not be properly absorbed and could be transmitted to the surroundings. A proper dynamic absorber will neutralize vibration and noise, which could cause mechanical damage. Additionally, a mass spring system can be used to dampen noise and vibration produced by subway trains. The placement of properly tuned dampening systems along the subway tunnels absorbs noise that could cause safety concerns for the public, utilizing the transit systems.
Prior to completing this assignment, I did not fully realize the impact that trigonometry has on everyday life. Mass spring systems were a new concept to me. I am looking forward to further applying the concepts I have learned in this class to higher level physics and engineering studies. Click on the below link to view the above referenced assignment.
Modeling the Motion of a Spring