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Moment of Inertia
Name: Objective
The purpose of this lab was to determine how to measure the moments of inertia with a rotating body and how the moment of inertia changes with mass and location. The other purpose of this lab was to recognize what rotational inertia was and how it changes with the size, shape, and mass distribution of an object. Data and Calculations
Part I: Moment of Inertia of the apparatus (I
o
)
1.)
Measure the hanging mass and the radius of the pulley.
Hanging Mass (scale) =
0.1426
kg
Pulley radius = 0.01872
m
P E S 1 1 5 0 - G E N E R A L P H Y S I C S L A B I
2.)
Remove all masses from the rotating arm to get the Moment of inertia of just the bare arm system
. Retain a sample graph of the experiment with all the needed curve fit information.
3.)
Average at least 3 drops to improve the value of your final measurement. Trial
Angular acceleration
(rad/s
2
)
1
2.20
2
2.24
3
2.26
4
2.25
Average
2.2375 (2.24)
4.)
From this data calculate the Moment of inertia of the bare arm
(I
o
).
Moment of Inertia - 2
P E S 1 1 5 0 - G E N E R A L P H Y S I C S L A B I
Part II: Moment of Inertia of point-masses (I
12
)
1.)
Measure the hanging mass and record the radius of the pulley the mass is pulling on.
2.)
Measure and record the mass of the point masses
you plan to use in this experiment. Include the nut and bolt.
3.)
Perform several experiments with the point masses in different configurations. Experiment
Radius of Mass
#1 (m)
Radius of Mass
#2 (m)
Angular
acceleration (rad/s
2
)
1
0.20
0.20
0.678
2
0.20
0.17
0.735
3
0.20
0.14
0.802
4
0.20
0.11
0.863
5
0.20
0.08
0.922
6
0.20
0.05
0.971
4.)
Retain a sample graph of one of the experiments.
Moment of Inertia - 3
I o
=
r
❑
(
mg
)
−
(
mr
2
)
I o
=
0.01872
m
2.24
rad
/
s
2
¿
I o
=
0.011641
kg
(
m
2
)
I
o
(arm) =
0.01164
kg · m
2
Hanging Mass (scale) =
0.1426
kg
Pulley radius = 0.01871
m
Point Mass #1 (scale) =
0.2703
kg
Point Mass #2 (scale) =
0.2682
kg
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Related Questions
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Quèstion 3
The block on a smooth inclined plane is moving down with a constant acceleration of 5 m/s-
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ASUS
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f4
FS
D/O
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3
E
F
G
н
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d.) What is the acceleration of B in the y direction if ma >> mg
Hint: you don't necessarily need the answer to c to solve but it can help.
C
ha
D
Variable Value
10 kg
15 kg
0.1 m
0.1 m
0.3 m
0.5 m
725388
mg
ha
In
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