Learning journal unit 7
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University of Colorado, Denver *
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Mechanical Engineering
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Jan 9, 2024
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It is incredible how time flew. Only one week left to go. I began the seventh unit as often going through the learning guide to have a clear idea about what must be done in this week. Then, I started reading the
chapters that were recommended for this unit. I spent many hours trying to read and understand the two chapters. Week 7 was focused on how we use interpolation to implement spline curves within graphics systems. To gain an insight into this topic I carried out several tasks. The first task was reading the assigned reading materials. After going through the reading material, I completed the discussion forum. Right after I Participated in the discussion forum and went through some of the peers’ posts. I then completed the written assignment and the self-quiz. This week’s discussion was about how a
Bézier
spline could be implemented in 3D space using WebGL and the Three.js API. Honestly, I was struggling to find good picture/image examples for my discussion post. Instead, I used a code example. As far as I understood Bezier spline it is a curve that is used to show smooth and elegant shapes. It is widely used in vector graphics, 3D modeling, computer aided design, and in creating curves and surfaces (Halsey, 2013). Here is the example I used for my discussion post:
Discuss the application of the Bézier splines in engineering and cartography software.
Bazier curves have a lot of applications in the science, engineering, and technology areas, like highway model, railway route, robotics, networks, animation, environment design, communications, and other areas. It was developed to help engineers to build the complex curvature of a car’s bodywork with a computer. Here are some key applications of Bezier splines:
- As mentioned before, Bezier splines are significant in automotive design to build the curves and the car body surfaces. Designers can control the shape of car parts and improve aerodynamics. - In civil engineering, it can be used to build accurate structural elements of buildings and bridges. The curves help to analyze the performance. - In aerospace engineering Bezier splines can help to create and model the shape of aircraft parts, which helps designers to design aerodynamic efficient and smooth profiles (USMAN et al., 2019).
As for using Bezier splines in cartography software we can mark some important areas:
- Bezier splines are used to show in map representation where they show roads, rivers, and other geographic features on maps. - They are used in GPS navigation systems to create smooth routes which helps users to navigate with directions and displaying the path ahead.
- Bezier splines are useful for entering elevation values that help in showing the continuous nature of terrain feature (Pal, 2010).
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- In all coding, use only functions covered in class. It will be considered a violation of the Academic Integrity Policy if you use
any build-in functions or operators of Matlab that calculate the inverse of a matrix, interpolations, spline, diff, integration, ode,
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Problem Description (CCOs #1, 2, 3, 4, 5, 6, 7, 8, 11, 12)
A water tank of radius R = 1.8m with two outlet pipes of radius r₁ = 0.05m and r2 installed at heights h₁ = 0.13m
and h₂ = 1m, is mounted in an elevator moving up and down causing a time dependent acceleration g(t) that must be
modeled as
g(t) = go+a1 cos(2π f₁t) + b₁ sin(2π f₁t) + a2 cos(2π f₂t) + b₂ sin(2π f₂t),
(1)
Figure 1: Water tank inside an elevator
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THANK YOU FOR YOUR HELP.
PS: If you have answered this already, DON'T ANSWER IT AGAIN; give chance to OTHER EXPERTS to answer it. I want to verify if all of you will arrive in the same final answer; thats why I ask it multiple times. If you answer it again, i'll DISLIKE all your entries/answers.
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I will rate you with “LIKE/UPVOTE," if it is COMPLETE STEP-BY-STEP SOLUTION.
If it is INCOMPLETE SOLUTION and there are SHORTCUTS OF SOLUTION, I will rate you with “DISLIKE/DOWNVOTE.”
THANK YOU FOR YOUR HELP.
PS: If you have answered this already, DON'T ANSWER IT AGAIN; give chance to OTHER EXPERTS to answer it. I want to verify if all of you will arrive in the same final answer; thats why I ask it multiple times. If you answer it again, i'll DISLIKE all your entries/answers.
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I will rate you with “LIKE/UPVOTE," if it is COMPLETE STEP-BY-STEP SOLUTION.
If it is INCOMPLETE SOLUTION and there are SHORTCUTS OF SOLUTION, I will rate you with “DISLIKE/DOWNVOTE.”
THANK YOU FOR YOUR HELP.
PS: If you have answered this already, DON'T ANSWER IT AGAIN; give chance to OTHER EXPERTS to answer it. I want to verify if all of you will arrive in the same final answer; thats why I ask it multiple times. If you answer it again, i'll DISLIKE all your entries/answers.
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I Review
Learning Goal:
To be able to find the center of gravity, the center of
mass, and the centroid of a composite body.
Part A
A centroid is an object's geometric center. For an object
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Find the area of the body. (Figure 1)
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into regular shaped
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of a = 1.55 ft , where a is the diameter of the semi-
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> View Available Hint(s)
Vol AEO It vec
?
A =
ft?
Submit
Part B
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