Fundamentals of Biomechanics Homework I

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BME375 Fundamentals of Biomechanics Homework III Problem 1: The vector coordinates of two points P1 and P2 on a rigid body are given in five different poisons

in the table below.

(1) Determine the finite center of rotation and the increment in the angle of rotation from

position 2 to position 3.

(2) If time interval ∆t=0.1 sec, determine the velocity and acceleration of the point P1 at position

#3. (Unit of coordinate: mm)

Position P1x P1y P2x P2y

1 0.00 0.00 1.00 0.00

2 0.873 0.411 1.76 0.881

3 1.16 1.01 1.86 1.73

4 0.94 2.00 1.24 2.96

5 0.328 2.47 0.312 3.48

Problem 2: The coordinates of three points of a rigid body, in their initial positions (P1, P2, P3) and final

position (P1’, P2’, P3’) are given below.

x y z

P1 1.000 0.000 0.000

P2 4.000 0.000 0.000

P3 1.000 2.000 0.000

P1’ 2.488 -1.065 0.9107

P2’ 5.220 -0.333 1.911

P3’ 1.821 0.7564 1.399

(1) Find the rotation matrix R and translation vector T describing the rigid body motion from the

initial position to the final position.

(2) From R and T, determine the rotation angle and the unit vector of the helical axis.

Describe two (2) techniques required to study ecosystems then provide an example of each technique. Suggest two (2) advantages and (2) disadvantages for each of your chosen techniques.

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Discuss three (3) positive and three (3) negative impacts of humans on the biosphere. Which positive and negative impacts do you believe are the most significant to consider. Justify your response.

  • Describe two (2) techniques required to study ecosystems then provide an example of each technique. Suggest two (2) advantages and (2) disadvantages for each of your chosen techniques.
  • Listen to the Ted Talk titled “Jane Poynter: Life in Biosphere 2” found here. Suggest three (3) lessons we can learn from this experiment then describe what you believe life will be like living in an extreme environment (e.g., underwater, outer space). Justify your response.
  • Read the BBC article entitled, “Global warming increases ‘food shocks’ threat” found here. Next in your own words define global warming and state three (3) effects of global warming that you believe will have the greatest impact. Lastly debate whether or not you believe that science could improve the nutrition of millions around the globe. Justify your response

How could you use Minitab descriptive statistics for data analysis research? Write about your experience running descriptive statistics.

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Research Paper, FormatAPA, Course level Master, SubjectNursing, pages 4, Spacing Double Spacing
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Discussion Questions
It is important to support what you say with relevant citations in the APA format from both the course materials and outside resources. Include not only the nursing resource database, but also those pertaining to education, business, and human resources.
Discussion Question
Using Minitab
This week, you learned about the statistical software applications used to analyze data for research analysis. For this week’s discussion, you will use Minitab to run descriptive statistics, create graphs and respond to the following:
•How could you use Minitab descriptive statistics for data analysis research?
•What are your plans for learning more about Minitab and how will the information you learned about this software be of benefit in your future analysis of research data?
Refer to this week’s readings and video tutorials before starting this two part discussion question assignment. You will also have access to the Assignment Resources Step-by-Step Guide, accessed through the Assignment Resources Icon located to the right of the grading criteria above.
Step 1: Entering Data
Open Minitab
You will now use Minitab to enter a sample dataset by following the steps below and referring to the examples in the Assignment Step-by-Step guide. Begin by opening Minitab. Once open, you will see two windows. The Session Window is in the top half of the screen and the Worksheet is below. Only one window is active at a time.
Dataset Options
In many cases, researchers may have the data from their study in another software package like Microsoft Excel. However, if the data is not available in a software spreadsheet you can manually enter the data. You may now choose to populate your Minitab worksheet using the provided Excel worksheet in Option 1 or try Manual Data Entry by following the instructions in Option 2.
Option 1: Using Excel to populate Minitab
To access the Excel worksheet populated with data, go to the Data Set Icon located to the right of the grading criteria above. You can copy and paste the data set directly from Excel into Minitab.
Or
Option 2: Manual Data Entry
In the Worksheet window, type “Age†in C1. Enter the numbers as shown in the dataset below. Enter the remaining data as shown below (set up your column labels i.e., variable). The measure reflects math anxiety and the study variables (cringe, uneasy, afraid, worried, understand) the math anxiety range is from 1–5 with low being the least and 5 the highest.
AgeCringeUneasyAfraidWorriedUnderstand
2853443
3425321
2544425
5634312
2354334
2915323
3033525
5925512
4542533
3812411
3332432
4742345
2415344
2954213
5331521
4844153
2725434
3444325
2645232
3655543
Step 2: Run Descriptive Statistics
Now that your data is in Minitab, you will look at the descriptive statistics for this dataset. Select the Ribbon at the top titled “Statistics,†and then select “Descriptive Statistics†. Under the “Data tab†select a variable, under the “Statistics tab†check all the boxes, then click “OK†.
Discussion Question Part 1:
How could you use Minitab descriptive statistics for data analysis research? Write about your experience running descriptive statistics. Use the results in the Session Window to support your response. Then add to your discussion with the information you learn when completing Step 3.
Step 3: Minitab and Graphs
You will now look at graphing. Select the Ribbon at the top titled “Graph,†then select “Histogram,†and then select “Simple.†Choose one of the variables and select “Ok”. You can create other Histogram graphs by choosing different variables. You can also choose from the other ten graph choices shown on the Graph ribbon. Remember you can use the left navigation column to access your work.
Discussion Question Part 2:
What are your plans for learning more about Minitab and how will the information you learned about this software be of benefit in your future analysis of research data? Copy and paste your graph(s) in a Word document and attach to your discussion response.

Carefully design a program for modifying the behavior, making sure to include all relevant conditioning principles incorporated within your plan

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C04J Introduction to Psychology
Your response should be four (4) double-spaced pages; refer to the “Assignment Format” page located on the Course Home page for specific format requirements.Part A For Part A of this assignment, you will apply the principles of operant conditioning to modify an existing behavior. Target a behavior to be modified, either an undesirable behavior that you would like to eliminate or a desirable behavior that you would like to strengthen.1. Generate a plausible explanation for why the problem exists.
2. Describe one (1) reason why you want to change the behavior and one (1) benefit the change will bring.
3. Carefully design a program for modifying the behavior, making sure to include all relevant conditioning principles incorporated within your plan (which might include the use of positive and negative reinforcers, punishment, shaping, schedules of reinforcement, modeling, extinction, stimulus discrimination or generalization, primary and secondary reinforcers, and so on.) Your plan should include three (3) steps.Part BDesign a series of test items that would indicate the different intelligences according to Howard Gardner’s theory of multiple intelligences. Provide one (1) original example of how you would test each of the eight (8) different intelligences.