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| ||<:30%>[:PiraScheme#Mechanics: Table of Mechanics Demonstration]||<:30%>[:MEEquipmentList: List of Mechanics Equipment & Supplies]||<:30%>[:Demonstrations:Lecture Demonstrations]|| | ||<:30%>[[PiraScheme#WavesSound| Table of Waves and Sound Demonstration]]||<:30%>[[MEEquipmentList| List of Mechanics Equipment & Supplies]]||<:30%>[[Demonstrations|Lecture Demonstrations]]|| |
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| Oscillations, [:Oscillations#Pendula: 3A10. Pendula] | Oscillations, [[Oscillations#Pendula| 3A10. Pendula]] |
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| * '''Cabinet:''' [:MechanicsCabinet:Mechanic (ME)] * '''Bay:''' [:MechanicsCabinetBayA12:(A12)] |
* '''Cabinet:''' [[MechanicsCabinet|Mechanic (ME)]] * '''Bay:''' [[MechanicsCabinetBayA12|(A12)]] |
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| attachment:TorsionPendulum01-400.jpg | {{attachment:TorsionPendulum01-400.jpg}} |
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| ||Torsion Pendulum||[:MechanicsCabinetBayA12: ME, Bay A12, Shelf #T]|| || | ||Torsion Pendulum||[[MechanicsCabinetBayA12| ME, Bay A12, Shelf #T]]|| || |
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| 1. List steps for setup then procedure. 1. ... |
1. Place the apparatus on the lecture bench. 1. Displace the orange "flag" in a circular direction horizontally and release. 1. Add one of the weights (grey or yellow) to the flag as pictured below and and again set the flag into oscillatory motion. Note the difference in the period of oscillation for each configuration. |
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| Discuss the physics behind the demonstration, explaining some of the various steps of the demonstration when appropriate. | In a torsion pendulum, the restoring force is provided by the torsion in the wire that the mass is connected to. The period of oscillation is dependent upon the moment of inertia of the system and the torsion spring constant of the wire (assuming very little dampening). Mathematically, the period is given by |
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| ||attachment:TorsionPendulum02-250.jpg||attachment:TorsionPendulum03-250.jpg||attachment:TorsionPendulum04-250.jpg||attachment:TorsionPendulum05-250.jpg|| ||attachment:TorsionPendulum10-250.jpg||attachment:TorsionPendulum11-250.jpg||attachment:TorsionPendulum12-250.jpg||attachment:TorsionPendulum13-250.jpg|| |
T = 2π * Sqrt[I/κ] ≈ 2π * R * Sqrt[M/κ] where I is the moment of inertia, κ is the torsion spring constant, M is the mass of our "bob", and R is the radial distance of the mass from the wire. For our system, the torsion spring constant is constant throughout the demonstration. The distance of the mass from the wire is constant. Thus, when we add mass to the system, I is increased resulting in an increase in the period of oscillation. ||{{attachment:TorsionPendulum02-250.jpg}}||{{attachment:TorsionPendulum03-250.jpg}}||{{attachment:TorsionPendulum04-250.jpg}}||{{attachment:TorsionPendulum05-250.jpg}}|| ||{{attachment:TorsionPendulum11-250.jpg}}||{{attachment:TorsionPendulum12-250.jpg}}||{{attachment:TorsionPendulum16-250.jpg}}||{{attachment:TorsionPendulum13-250.jpg}}|| |
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| * [https://www.youtube.com/user/LectureDemostrations/videos?view=1 Lecture Demonstration's Youtube Channel] | * [[https://www.youtube.com/user/LectureDemostrations/videos?view=1|Lecture Demonstration's Youtube Channel]] |
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| * [https://en.wikipedia.org/wiki/Oscillation Wikipedia - Oscillation] * [https://en.wikipedia.org/wiki/Pendulum Wikipedia - Pendulum] |
* [[https://en.wikipedia.org/wiki/Oscillation|Wikipedia - Oscillation]] * [[https://en.wikipedia.org/wiki/Pendulum|Wikipedia - Pendulum]] * [[https://en.wikipedia.org/wiki/Torsion_pendulum#Torsion_balance|Wikipedia - Torsion Pendulum]] |
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[:Instructional:Home] |
[[Instructional|Home]] |
Torsion Pendulum, 3A10.30
Topic and Concept:
Oscillations, 3A10. Pendula
Location:
Cabinet: Mechanic (ME)
Bay: (A12)
Shelf: #T
Abstract:
Weight is added to a torsion pendulum to decrease the period of oscillations.
Equipment |
Location |
ID Number |
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Torsion Pendulum |
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Important Setup Notes:
- N/A
Setup and Procedure:
- Place the apparatus on the lecture bench.
- Displace the orange "flag" in a circular direction horizontally and release.
- Add one of the weights (grey or yellow) to the flag as pictured below and and again set the flag into oscillatory motion. Note the difference in the period of oscillation for each configuration.
Cautions, Warnings, or Safety Concerns:
- N/A
Discussion:
In a torsion pendulum, the restoring force is provided by the torsion in the wire that the mass is connected to. The period of oscillation is dependent upon the moment of inertia of the system and the torsion spring constant of the wire (assuming very little dampening). Mathematically, the period is given by
T = 2π * Sqrt[I/κ] ≈ 2π * R * Sqrt[M/κ]
where I is the moment of inertia, κ is the torsion spring constant, M is the mass of our "bob", and R is the radial distance of the mass from the wire. For our system, the torsion spring constant is constant throughout the demonstration. The distance of the mass from the wire is constant. Thus, when we add mass to the system, I is increased resulting in an increase in the period of oscillation.
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