Pan Balance
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University of Texas, Arlington *
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Mechanical Engineering
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Apr 3, 2024
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Pan Balance Activity
The goal of this activity is to develop an understanding of how to use manipulatives to support student development of the concept of equivalence - an important foundation for algebraic thinking. After you have explored the three pan balance activities, add a screenshot of your work from each activity in the space provided.
Pan Balance - Shape
Pan Balance - Numbers
Pan Balance - Expressions
RESPOND: Answer the reflective questions below.
1.
As you worked through the activities, what did you notice about the progression of skill as it related to each activity?
As I worked through each of the activities, I noticed that the progression of skill increased when I implemented greater values or more variables into the expressions. For instance, when
I was working through the shapes, I was able to determine the weight of each quickly. However, I would put more shapes on one side of the scale and less on the other just to prove that a singular shape weighed the same amount as multiple shapes. When I was working through the numbers, I found that adding more numbers or variables made the problem more advanced and required more skill to make the equations equal.
2.
How would you incorporate these activities into your classroom? In what part of the lesson sequence would using these types of representations be most appropriate?
In my classroom, I would incorporate these strategies by using the number strategy. I will have
my students create different number variations and equations equal. They will make them equal by using addition, subtraction, multiplication, and division. Using these types of representations will be most appropriate after learning the types of equations and where/when to use them. I would use these strategies as more of a review for my students before they take a quiz or test. Not only will it review their knowledge, it will also test them and allow them to progress their skills and abilities to solve different problems.
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This is an engineering problem and not a writing assignment. Please Do Not Reject. I had other engineering tutors on bartleby help me with problems similar to this one.
This problem must be presented in a logical order showing the necessary steps used to arrive at an answer. Each homework problem should have the following items unless otherwise stated in the problem:
a. Known: State briefly what is known about the problem.
b. Schematic: Draw a schematic of the physical system or control volume.
c. Assumptions: List all necessary assumptions used to complete the problem.
d. Properties: Identify the source of property values not given to you in the problem. Most sources will be from a table in the textbook (i.e. Table A-4).
e. Find: State what must be found.
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Help can only be sought via private Ed Discussion posts or instructor office hours.
- 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,
fft, pdes, etc.;
- You may reuse functions you yourself developed throughout this semester in this class or from solutions posted on Canvas for
this class.
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
The height of water h(t) in the tank can be modeled by the following ODE,…
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2. https://www.bartleby.com/questions-and-answers/it-vivch-print-reading-for-industry-228-class-date-name-review-activity-112-for-each-local-note-or-c/bd5390f0-3eb6-41ff-81e2-8675809dfab1
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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 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
of uniform composition, its centroid is also its center of
mass. Often the centroid of a complex composite body is
found by, first, cutting the bodyng the weighted average
Find the area of the body. (Figure 1)
Express your answer numerically in feet squared to three significant figures.
into regular shaped
segments, and then by calculating i
of the segments' centroids.An object is made from a
uniform piece of sheet metal. The object has dimensions
of a = 1.55 ft , where a is the diameter of the semi-
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d = 0.750 ft is centered at (1.26, 0.775).
> View Available Hint(s)
Vol AEO It vec
?
A =
ft?
Submit
Part B
Find a, the a-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
> View…
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Learning Goal:
To be able to find the center of gravity, the center of mass, and the
centroid of a composite body.
A centroid is an object's geometric center. For an object of uniform
composition, its centroid is also its center of mass. Often the
centroid of a complex composite body is found by, first, cutting the
body into regular shaped segments, and then by calculating the
weighted average of the segments' centroids. An object is made
from a uniform piece of sheet metal. The object has dimensions of
a = 1.25 ft, where a is the diameter of the semi-circle, b = 3.71 ft,
and c = 2.30 ft. A hole with diameter d = 0.750 ft is centered at
(1.09, 0.625).
Figure
kd-
J = 0.737
Find y, the y-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
View Available Hint(s)
ΑΣΦ
Submit Previous Answers
vec
3
X Incorrect; Try Again; 2 attempts remaining
?
ft
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- Don't use chatgpt will upvotearrow_forwardThis is an engineering problem and not a writing assignment. Please Do Not Reject. I had other engineering tutors on bartleby help me with problems similar to this one. This problem must be presented in a logical order showing the necessary steps used to arrive at an answer. Each homework problem should have the following items unless otherwise stated in the problem: a. Known: State briefly what is known about the problem. b. Schematic: Draw a schematic of the physical system or control volume. c. Assumptions: List all necessary assumptions used to complete the problem. d. Properties: Identify the source of property values not given to you in the problem. Most sources will be from a table in the textbook (i.e. Table A-4). e. Find: State what must be found. f. Analysis: Start your analysis with any necessary equations. Develop your analysis as completely as possible before inserting values and performing the calculations. Draw a box around your answers and include units and follow an…arrow_forwardThe first photo is the question, where the 2nd shows some problem solving strategiesarrow_forward
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