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Vibration control is crucially important in ensuring a smooth ride for vehicle passengers. This study sought to design a suspension system for a car such that its mode of vibration would be predominantly bouncing at lower speeds, and primarily pitching at higher speeds. Our study used analytical and numerical methods to choose appropriate springs and dampers for the front and rear suspension. After an initial miscalculation, we succeeded in arriving at appropriate shocks for the vehicle with the desired modes of vibration at the specified frequencies. We then assessed the maximum bouncing and pitching that the vehicle would experience under a specific set of conditions: travel at 40 km/hr over broken, rough terrain. Our testing showed moderate success in our suspension design. We successfully damped the force being transmitted to both the front and rear quarter car somewhat, while ensuring that the modes of vibration fell into the desired shapes at the desired frequency ranges.

This is the LaTeX template for BioMed Central journal article submissions. The BioMed Central instructions for authors provides instructions and guidelines for preparing your manuscript for submission. You can start writing your paper online with Overleaf - simply click the image or "Open as Template" to get started.

Classical Olympiad Task Template

My dissertation for my Astrophysics MPhys degree at the University of Liverpool compiles research, simulations and calculations to come to concise conclusions about the feasibility of a human mission as stated in the project title.

A drawing in TikZ. The first picture draws an impossible brick, which induces an optical illusion similar to that triggered by Escher's impossible cube. The second picture draws a Penrose triangle, another similar optical illusion.

Template with project details on top of every page with normal document margins (i.e. 1 inch).

The purpose of this lab was to illustrate the validity of the law of conservation of energy along with the determination of the spring constant of a given spring. For the first part the spring constantk was to be found from a given spring. Through the suspension of various known metal masses on a vertically suspended spring, the spring constant was determined. Two methods were used: the algebraic rearrangement of Hooke's Law and a slope analysis of a linear regression on a Force (N) against Stretch Length (m) scatter plot. The spring constant k was determined to be 26.438 ± 1.063. For the second part of the lab, the aim was to validate the law of conservation of energy through the oscillation of a vertically suspended spring. Data was collected using a Vernier Motion Detector 2 machine and the various energies (kinetic energy, gravitational potential energy and spring potential energy) were collected and summed up. The sum of these energies yielded a fairly constant energy total (2.287 J ± 0.025 J) which supports the authenticity of the law of conservation of energy. While there were some uncertainties due to the lab setup, human error and equipment error it did not affect the validity of the methods during experimentation. Overall, the spring constant k of a given spring was determined and the law of conservation of energy was validated through the calculation of total energy during a suspended mass' oscillation.

A minimal example showing how to choose different options for section and subsection labelling (including upper and lower case Roman numerals) by redefining the appropriate commands. Source: http://www.latex-community.org/forum/viewtopic.php?f=19&t=17690

Bachelor thesis on Upscaling the extracellular glucose oxidase production in Aspergillus niger var tubingensis strain Ed8 Grade: ~95% Abbreviation system included.