lab 121
pdf
keyboard_arrow_up
School
New Jersey Institute Of Technology *
*We aren’t endorsed by this school
Course
111A
Subject
Aerospace Engineering
Date
Apr 3, 2024
Type
Pages
9
Uploaded by KidAlbatross3587
1. Introduction
1.1 Objectives
Gain deeper insight into the principles of rotating static equilibrium and torque.
Apply rotational equilibrium conditions to determine the tension on the supporting string in a
strut system.
1.2 Theoretical Background
Torque is defined as the vector product of applied force
�
F and distance
�
r:
�
=
�
×
�
τ=r×F
The magnitude of torque
�
τ is given by:
�
=
�
�
sin
�
τ=rFsinθ
For a body in rotational static equilibrium, the net torque
�
net
τ
net
about any point
�
O must be zero:
�
net
=
0
τ
net
=0
This implies that the sum of all counterclockwise torques must equal the sum of all clockwise
torques.
This lab aims to develop problem-solving skills to determine the tension in the supporting string
and compare it with experimental values.
2. Experimental Procedure
Equipment List:
Computer with Capstone Software
850 Universal interface
Force sensor
Clamps
Strut system
Weight hangers
Pulley
Rod
Protractor
Scale
Figures:
Figure 1: Strut in horizontal position
Figure 2: Strut tilted up
Figure 3: Strut tilted down
Procedure:
Measure the mass of the aluminum rod and the hanging masses.
Set up the strut system as depicted in the figures, using clamps to secure it onto the desk.
Attach the force sensor to the strut system and connect it to the 850 Universal Interface.
Attach the hanging masses onto the strut system.
Measure the length of the aluminum rod and the positions of both the hanging masses and the
supporting cord.
Set up the strut system in three configurations: horizontal position, tilted up, and tilted down.
Use a protractor to determine the angle of the cord and strut for each setup.
Use the Capstone Software to determine the tension of the cord for each setup based on the
readings of the force sensor. Ensure to zero the force sensor before recording for accurate
readings.
Utilize the tools in the Capstone Software to find the mean tension value and record the values
in the data table.
Calculate the tension and compare it to the measured tension.
3. Results
3.1 Experimental Data
Table 1
Weight of strut (AI rod): 1.11328g,
�
=
0.58
�
L=0.58m
Θ
1
=
45
°
Θ
1
=45°,
�
1
=
0.981
W
1
=0.981,
�
1
=
0.325
�
L
1
=0.325m
Θ
2
=
0
°
Θ
2
=0°,
�
2
=
0.981
W
2
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
=0.981,
�
2
=
0.525
�
L
2
=0.525m
�
3
=
0.425
�
L
3
=0.425m
Tension Calculated: 3.849 N, Tension Measured: 3.37 N
Table 2
Weight of strut (AI rod): 1.11328g,
�
=
0.58
�
L=0.58m
Θ
1
=
56
°
Θ
1
=56°,
�
1
=
0.981
W
1
=0.981,
�
1
=
0.325
�
L
1
=0.325m
Θ
2
=
13
°
Θ
2
=13°,
�
2
=
0.981
W
2
=0.981,
�
2
=
0.525
�
L
2
=0.525m
�
3
=
0.425
�
L
3
=0.425m
Tension Calculated: 3.19967 N, Tension Measured: 2.984 N
Table 3
Weight of strut (AI rod): 1.11328g,
�
=
0.58
�
L=0.58m
Θ
1
=
40
°
Θ
1
=40°,
�
1
=
0.981
W
1
=0.981,
�
1
=
0.325
�
L
1
=0.325m
Θ
2
=
13.5
°
Θ
2
=13.5°,
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
�
2
=
0.981
W
2
=0.981,
�
2
=
0.525
�
L
2
=0.525m
�
3
=
0.425
�
L
3
=0.425m
Tension Calculated: 4.118 N, Tension Measured: 3.6 N
3.2 Calculation
Error percentage calculations
Horizontal:
∣
3.37
−
3.849
3.849
∣
×
100
=
12.4
%
∣
∣
3.849
3.37−3.849
∣
∣
×100=12.4%
Titled up:
∣
2.984
−
3.19967
3.19967
∣
×
100
=
6.7
%
∣
∣
3.19967
2.984−3.19967
∣
∣
×100=6.7%
Titled down:
∣
3.6
−
4.118
4.118
∣
×
100
=
12.5
%
∣
∣
4.118
3.6−4.118
∣
∣
×100=12.5%
4. Analysis and Discussion
Through this experiment, employing rotational equilibrium conditions, we accurately determined
the tension on the supporting string within a strut system. The system was tested in horizontal,
tilted up, and tilted down positions. After calculating tensions by measuring lengths and angles,
we compared the values to those obtained from the force sensor. The error percentages,
ranging from 6% to 13%, suggest reasonable accuracy. Possible sources of slight errors may
include measurement inaccuracies or residual tension in the string during force sensor readings.
Overall, the results were satisfactory and consistent.
5. Conclusions
This experiment enhanced our understanding of torque and rotational static equilibrium
conditions, particularly in determining tension within a strut system. It reaffirmed the principle
that net torque in a system must always be zero. Despite minor percentage errors, the lab
yielded reliable results, contributing to a comprehensive understanding of rotational mechanics.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help