GE 123 Lab 2 - Report Template
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University of Saskatchewan *
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Industrial Engineering
Date
Jan 9, 2024
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RE-ENGINEERED First Year
1
GE 123: Engineering Mechanics II
Lab 2 – 3D Particle Equilibrium and Moments
Block #:
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NSIDs of all group members who worked on this report:
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Date of Lab:
☐
We all followed the University of Saskatchewan Academic Integrity Policy,
and we affirm that none of us have given or received any unauthorized help on
this report.
1.
Introduction
Purposes of the Laboratory Experiment
In this experiment, you will practice technical communication skills and transferable skills through the
experimental lab procedure. You will get to explore the concepts of 3D particle equilibrium and
moments by completing the lab procedure and performing an analysis on the data collected.
LOs Assessed:
CLO 5 (Type B+) and 6 (Type A and B+)
Logistics
For lab 2, you will be working in groups of 3 – 4 students within your block. The materials for this lab
can be found on the Module 1 Labs page in Canvas.
Lab Report Submission
:
Each group must submit their completed lab report template to Crowdmark
by 10:00 PM on the day of their lab. The lab report template can be found on the Module 1 Labs page
in Canvas titled “GE 123 Lab 2 – Student Lab Report Template”.
RE-ENGINEERED First Year
2
Hypotheses
Figure 1 shows 4 different forces,
´
F
1
,
´
F
2
,
´
F
3
and
´
F
m
, acting on a particle. Given that the
mass creating
´
F
m
is 100 g and the maximum mass that can be applied for any of the other 3 forces
is 250 g, determine the maximum angle that
´
F
3
can make with the z-axis. Include a fully detailed
justification.
Figure 1: Experimental Set Up for the 3D Particle Equilibrium Lab
Justification (sketches, FBDs, calculations, etc.)
What is the maximum angle that
´
F
3
can make with the z axis if all other masses used to create forces have
an upper limit of 250 g? What are the required masses that will create the forces for
´
F
1
,
´
F
2
,
´
F
3
at this
angle?
θ
=
¿
m
1
=
¿
m
2
=
¿
m
3
=
¿
θ
RE-ENGINEERED First Year
3
What assumptions did you make in your calculations and how might “real world” factors affect these values?
2.
Lab Results and Analysis
Activity 1 –
3D Particle Equilibrium
Show
ONE
sample calculation for the masses required for all vectors (
´
F
1
,
´
F
2
,
´
F
3
) at a single angle and the
percent error between
ONE
experimental and theoretical value.
Summarize all data into Table 3.
Table 3: Theoretical and Experimental Data for 3D Particle Equilibrium
Angle
,θ
(
°
)
m
1
theo
(
g
)
m
1exp
(
g
)
±g
% Error
in
m
1
m
2
theo
(
g
)
m
2exp
(
g
)
±g
% Error
in
m
2
m
3
theo
(
g
)
m
3exp
(
g
)
±g
% Error
in
m
3
Activity 2 – Moments
Show
ONE
sample calculation for the moment around the origin. Make sure you include the uncertainty in all
measurements and the calculated uncertainty in the moment.
Summarize all data into Table 4.
Table 4: Force and Distance Measurements to Calculate Moment
Position
Mass
m
(
g
)
±g
Force
F
(
N
)
±N
Distance
d
(
m
)
±m
Moment
M
o
(
N ∙m
)
± N ∙m
1
2
3
4
5
6
7
8
9
Graphs
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RE-ENGINEERED First Year
4
Insert the plot force (F) vs. the inverse of distance (1/d) using the data in Table 4. Make sure to include
appropriate labels, a trendline, and a trendline equation.
3.
Conclusions
Enter the conclusions you draw from this lab by answering the following questions:
What did you set out to do? How did you do it? What were your results? What do they mean?
Activity1
What was the highest mass that you had to use for any one vector in all trials?
Which vector was the limiting factor within the 250-g constraint?
Do you think that there is a minimum angle for
´
F
3
using the 250-g constraint? If so, what is it?
Activity 2
What does the slope of your trendline represent?
Can you rearrange the moment equation to show why the slope is equal to this value?
4.
Sources of Error
Identify 2 potential sources of error in this system. How would these sources of error affect your experimental
values?