Fall2023 Vector Addition Lab Online
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School
University of Texas, San Antonio *
*We aren’t endorsed by this school
Course
1943
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
5
Uploaded by ChefCapybaraPerson2103
Analysis of Vector Addition Lab Online
Name_______Rachel Julius_______________________________________
Course/Section____013___________________________________
Instructor______Dale Bobar______________________________________
Tables 1
Vector
𝑉⃑
|
|
θ
𝑉
?
𝑉
?
?⃑
18.0
33.7
15.0
10.0
?⃑
25.1
175.4
-25.0
2.0
?⃑
15.6
135.0
-11.0
11.0
𝐸⃑
31.2
-47.5
-21.7
23.03
Complete Table 1 with the values of the Equilibrant vector. (15 points)
1.
Using trig and the properties of vectors show that for each vector the given polar coordinates
are equal to the component coordinates. Show work for credit. (10 points)
Given
?, θ
(
) = (? cos ??? θ
(
), ? sin ?𝑖? θ
( )) = (?, ?)
*screenshot attache
1
2.
Show that
. Show work. (10 points)
?⃑ + ?⃑ = ?⃑
2
Tables 2
Vector
𝑉⃑
|
|
θ
𝑉
?
𝑉
?
?⃑
11.2
153.4
-10.0
5.0
?⃑
31.6
-18.4
30.0
-10.0
?⃑
20.6
-14.0
20.0
-5.0
𝐸⃑
41.2
-14.0
40.0
-10
Complete Table 1 with the values of the Equilibrant vector (15)
3.
Using trig and the properties of vectors, show that for each vector the given polar coordinates
are equal to the component coordinates. Show work for credit. (10 points)
3
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4.
Show that
. Show work. (10 points)
?⃑ + ?⃑ = ?⃑
4
5.
Two vectors are being added, one at an angle of
, and the other at
. The only thing
you know about the magnitudes is they are both positive. Will the equilibrant vector be in the
(a) first quadrant, (b) second quadrant, (c) third quadrant, (d) fourth quadrant or (e) you cannot
tell which quadrant from the available information? Justify your answer. (10 points)
Since both vectors are positive, this means that they are in the first quadrant. This means that the
equilibrant is the third quadrant.The equilibrant means that when the vectors are added it equals
zero, so there needs to be negative x and y values to cancel out and get zero.
6.
Imagine two force vectors, one of magnitude 2.00 N, and the other of magnitude 3.00 N. The
directions of both vectors are unknown. Which
best
describes the limitations on the magnitude
of R, the resultant vector? Justify your answer. (10 points)
(a)
(b)
(c)
(d)
(e)
The answer is d because of the following:
3+2=5
3-2=1
So the max value of R is 5, and the minimum is 1. R
7.
Screen shots attached (5 points each, for a total of 10 points)
Under each table.
5