Reference no: EM131067664
Problem 1: Matlab Three masses are attached to spring, k1 = 30 N/m, k2 = 25N/m, k3 = 20N/m, and k4 = 15N/m, as shown. Initially the masses are positioned such that the springs are in their natural length (not stretched or compressed); then the masses are slowly released and move downward to an equilibrium position as shown on the right. The equilibrium equations of the three masses are
where u1, u2, and u3 are the relative displacement (from the unstretched position) of each mass as shown.
If the masses have true weights W1 = 20N, W2 = 30N, and W3 = 15N. However, due to a bias error in the measuring device, the actual weight column vector on the right hand size used to determine the displacements is
where c is a constant representing the bias error in the weight measurements.
The effect of bias c on the error in the displacements u is studied by the error analysis equation
Write a Matlab script to complete the following tasks:
(a) Determine the true displacements using the true weights W1 , W2 , and W3 .
(b) Assume the bias c changes from 0 to 5 N with a step size of 0.1 N. For each value of c, determine (1) the lower error bound
(2) the upper error bound and (3) the relative error .
(c) Plot the lower bound vs. c, upper error bound vs. c, and relative error vs. c on the same graph (i.e., three curves in one figure).
Note: Please use 1-norm for the analysis and you may use the built-in function norm for this purpose.
Entity relationship diagram
: A store displays items on shelves and would like to keep track of which items are on which shelves. An item is described by a unique item Id, iId, its manufacturer, manuf, its name, name, and the space it occupies on a shelf, space, its cost, cost, ..
|
Research data to make appropriate economic decisions
: Use the Bureau of Economic Analysis website to choose data for this assignment. In addition, review the articles in Topic Materials relating to econometrics. Analyze the data you have selected to determine how to use them to make appropriate econo..
|
Rundown of various preparing procedures
: 1. Make a rundown of various preparing procedures you can utilize when attempting to defeat a dialect boundary? 2. Toward the end of the preparation, what strategies would you be able to use to figure out if or not the laborer caught on?
|
Shorty and shifty set up a company
: Shorty and Shifty set up a company called Simpleton Ltd. Through the business organisation Simpleton Ltd, Shorty and Shifty raised shareholder funds to purchase a Goldmine from Façade Ltd.
|
Determine the true displacements using the true weights
: Matlab Three masses are attached to spring, k1 = 30 N/m, k2 = 25N/m, k3 = 20N/m, and k4 = 15N/m, as shown. Initially the masses are positioned such that the springs are in their natural length (not stretched or compressed); then the masses are slo..
|
Evaluate theories that address the social construction
: Evaluate theories that address the social construction of gender In this discussion forum you are required to provide an analysis of a related supplemental material. Include two references to the theories in the text and respond to two other post..
|
Describe two organizations
: Based upon your topic chosen in the first assignment, or based upon an entirely new topic of your choice, describe two organizations (Feel free to do your own independent research on these organizations) that is seeking to address this social prob..
|
Statement of financial position of beach ltd
: ACC204 - Advanced Financial Accounting - Prepare the consolidated statement of financial position for the above entities as at 30 June 2015 and Provide the journal entries to account for tax in accordance with AASB 112.
|
Identify the two main strengths of your nutrient intake
: Identify the two main strengths of your nutrient intake based the analysis of both days. Why are these strengths for you? Identify the main weaknesses of your nutrient intake based on the analysis of both days. Are there any long-term implications?
|