There are two basic principles that a system can be approached by the continuous matter or modular

This paper comprises an appreciation of data representation, its visualization, an outline description of behavior, plus an indication of the use of the equation in engineering.

The givens and assumptions are all of the values included in the above equation. The equation above also highlights what we needed to find, the discrete dynamical system, and the plan was to make assumptions, analyze the givens, and substitute all the given values into the general discrete dynamical system equation.

Note that we disregard complicating factors such as air resistance, spin, because the uncertainty and unpredictability of these factors leads to a much more complicated equation than needed.

To predict the behavior of a physical system governed by a complex mathematical model depends on un- derlying model parameters. For example, predicting the contaminant transport or oil production strongly influenced by subsurface properties, such as permeability, porosity and other spatial fields. These spatial fields are highly heterogeneous and vary over a rich hierarchy of scales, which makes the forward models

To analyse the strength of the model, we consider the effect of a small change to the system. If the model is robust, it should exhibit similar behaviour despite this

They can change into different systems, but the value won’t change as long as it has conservation of energy. Conservation of energy itself and conservation of mechanical energy are two types of energy. Conservation of mechanical energy is easier to understand and calculate, but it only happens when everything is conserved (What is Conservation of

This investigation looked at five different mathematical modelling techniques and the effect when domains were set for a function. These modelling techniques were used to construct an illustration.

The four components of the physical system, including the hydrosphere, lithosphere, biosphere, and atmosphere, all enable individuals to descibe patterns in the weather/climate or ocean currents and explain with reason why locations of physical features are the way they are. For example, in the past the continents were known to have formed a giant continent, called Pangaea, but over time they had spread through the process of convergent boundaries to form the 7 continents known as north and South America, Australia, Africa, Asia, Europe, and Antarctica. Within these continents are physical features like mountain ranges, rift valleys, lakes, volcanoes, etc. Each of these physical features were too formed by plate tectonics; convergent, divergent,

Sketch the location of the poles and zeros for the systems and use Matlab to generate the step response. Are the step responses consistent with the second order assumptions? Why or why not?[15 marks] 30 10 a. T(s) = 2 b. T(s) = 2 s + 4s +10 ( s + 3)(s + 4s +10) 100 4 ( s + 2) c. T(s) = d. T(s) = 2 2 ( s +10)(s + 4s +10) s + 4s +10 € € 4. You will now analyse a control system for a single link of a robot arm. To begin with, assume that the robot arm is completely rigid and has a moment of € € inertial of J=2kgm2. The motor, gearing, and joint mechanism has friction, which has been measured as c=0.25 Nms. Assume there is no gravity acting on the arm (e.g. the robot arm is in space, or operating horizontally). The ˙˙ ˙ equations of motion are: Jθ + cθ = T , where T is the total torque applied to the arm. Based on these system characteristics, answer the following [40 marks] a. Find the transfer function between the applied torque T and the € indicator angle θ.

However, a different function is produced from the lab data. The experimental function is y=3.849 sin⁡(3.015x+5.071)+3.644. When looking at the graph, the acceleration of the experimental function is too small compared to the theoretical function. The deviation of the experimental function from the theoretical function is due to procedural error. One main error that is not addressed in the data analysis is the reaction time of the experimenters when manually recording the time.

There are 4 main physical systems called biosphere, hydrosphere, lithosphere, and atmosphere. These main physical systems along with weathering and erosion contribute a lot to how earth looks. The biosphere is where all the ecosystems join or the "living area". The hydrosphere is all the bodies of water on earth. This includes oceans, rivers, ponds, and seas. It covers roughly 70% of the earths surface. The lithosphere is the inside layers of earth. Which includes the crust, the hard outermost layer of earth and the upper mantle, the cooler dense layer under the crust. The atmosphere is the air or gasses surrounding earth or a planet. Weathering is the process of breaking down rocks and minerals into smaller pieces. Water, ice, plants, and

The mass of three clamps with hangers was determined, and the average mass of a clamps and hanger was determined. A 100 g mass was then hung on the 10 cm mark of the meter stick using a hanger, and then a 50 g mass was hung on the other end to a point where the meter stick was once again balanced. The values of the distances and the lever arm lengths were determined and recorded while performing the experiment. My group and I tested differing weights and lengths along the meter stick in order to practice calculating the torque of the system. To calculate the torque, we used the Ʃ풯 principle and the torque diagram to compose a 풯net equation. Furthermore, after the formation of the torque net equation, we substituted F_┴r for all the 풯 in the equation and solved for the position of the second hanging mass. Furthermore, theoretical was just an approximation of were the balancing point for the different weights would be positioned along the ruler in a perfect world. Due to the contributing errors in the experimental set up, our theoretical was never equal to the experimental. Therefore, my group and I used the percentage of error equation to check if our theoretical values were relative to the experimental values. Therefore, we found the difference between our r values, and then compared that value to our theoretical data. This comparison

The following pages discuss the comparison between the normative model and force field analysis. They will also discuss WBG’s selection of which form of data collection is better for this type of situation and why. Also contained in this memo to Dr. Babcock is the process WBG recommends to create the descriptions of the values.

If I can describe computational modelling as ‘the use of mathematics, physics and computer science to study the behaviour of complex systems by computer simulation’ (http://www.nibib.nih.gov/science-education/science-topics/computational-modeling) then that’s something I’m very familiar with, especially when modelling chemical processes in a manufacturing environment.

Most nonlinear models rely on modern control theories, the main idea of which is that the nonlinear nominal model without disturbance of power