221 – Lab 7 Rotational Motion and The Moment of Inertia E, = E, %3D K, +Ug0 +K„, = K, +Ugs +K,s 8,0 `r,0 8,f 1 m,V½,o +m„gY,0 +÷Io 1 m,v +m„gYh,s 2 + "h°h,0 ´h,f Note the position of the hanging mass is y,, and its velocity is v,. The moment of inertia is I for whatever is rotating. 1. Isolate the moment of inertia, algebraically from the above equation as all other variables have been measured.

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Find the moments of inertia of the disk and plate by using conservation of mechanical energy.
As described in the Background section, use two points: one taken at near the beginning of its descent,
"initial", and one just prior to the hanging mass reaching its lowest point, “final", to determine the
moment of inertia of the disk/plate.
el Physics
8 of 11
Fall 2021
S221 – Lab 7
Rotational Motion and The Moment of Inertia
E, = E,
K, +U,0 +K,0 = K, +U +K,
r,0 =K,
8,f
`r,f
1
1
m,vo+m„gYh,0
2
+
т,
2
h°h,0
2
2
Note the position of the hanging mass is y,, and its velocity is v,. The moment of inertia is I for
whatever is rotating.
1. Isolate the moment of inertia, algebraically from the above equation as all other variables have been
measured.
Transcribed Image Text:Find the moments of inertia of the disk and plate by using conservation of mechanical energy. As described in the Background section, use two points: one taken at near the beginning of its descent, "initial", and one just prior to the hanging mass reaching its lowest point, “final", to determine the moment of inertia of the disk/plate. el Physics 8 of 11 Fall 2021 S221 – Lab 7 Rotational Motion and The Moment of Inertia E, = E, K, +U,0 +K,0 = K, +U +K, r,0 =K, 8,f `r,f 1 1 m,vo+m„gYh,0 2 + т, 2 h°h,0 2 2 Note the position of the hanging mass is y,, and its velocity is v,. The moment of inertia is I for whatever is rotating. 1. Isolate the moment of inertia, algebraically from the above equation as all other variables have been measured.
1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by
using the conservation of energy method.
The variables in your equations should be the values you can measure (e.g., mass of hanger, angular
velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants
(i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will
need it during the lab.
Transcribed Image Text:1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by using the conservation of energy method. The variables in your equations should be the values you can measure (e.g., mass of hanger, angular velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants (i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will need it during the lab.
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