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Meter Stick Torque Beam, 1J40.20

Topic and Concept:

Statistics of Rigid Bodies, 1J40. Static Torque

pira200 Listed

Location:

Cabinet: Mechanic (ME)
Bay: C1
Shelf: T

Abstract:

A meter stick, suspended at the center, is used as a torque balance. Different combinations of weights hung at different distances can keep the beam balanced demonstrating how torque works.

Equipment	Location	ID Number

Torque Beam	ME, Bay C1, Shelf T
Weights and Weight Hangars	ME, Bay BA, Shelf #5
3/4" Rod and clamps	Rod and tackle cabinet near main lecture halls

Important Setup Notes:

Setup and Procedure:

Place apparatus on lecture bench with numbered side facing audience.
Behind the apparatus, mount a 3/4" rod to the bench with a table clamp.
To this vertical rod, attach another rod horizontally so that it is about above the apparatus, low enough so that the central loop of the beam can slip onto the rod (this is how we will suspend the beam).
From each of the outer loops, hang a weight hangar, and load up each with some amount of weight.
Choose the relative positions on the beam of the weights so that the beam will balance.
The moment of truth: unhook the chain from the stage left leg of the apparatus. Push the legs out to free the beam. If the previous two steps were completed appropriately, the beam will remain balanced. See photos below for some examples of weight - position combinations.

Cautions, Warnings, or Safety Concerns:

Discussion:

There are four torques acting on the beam: that due to gravity (weight of the beam), tension of the suspension string, and each of the two weights. If we set our origin at the 50 cm mark, the torque due to gravity and the tension go to zero. For the torques to balance giving us zero angular acceleration (keeping the beam balanced), we must have

r₁·W₁ = r₂·W₂ -> r₁·m₁ = r₂·m₂

where the r's denote the distance from the center of the beam of each weight hangar and the m's denote the total mass of the weight hangar.

Videos:

Lecture Demonstration's Youtube Channel

References:

Wikipedia - Torque

Home

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  Statistics of Rigid Bodies, [[RigidBodies#StaticTorque| 1J40. Static Torque]]
+ . Statistics of Rigid Bodies, [[RigidBodies#StaticTorque|1J40. Static Torque]]

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-||Torque Beam||ME, Bay C1, Shelf T|| ||
||Weights and Weight Hangars||[[MechanicsCabinetBayA1| ME, Bay BA, Shelf #5]]|| ||
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||Weights and Weight Hangars ||[[MechanicsCabinetBayA1|ME, Bay BA, Shelf #5]] || ||
||3/4" Rod and clamps ||Rod and tackle cabinet near main lecture halls || ||
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'''Setup and Procedure:'''
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 . From each of the outer loops, hang a weight hangar, and load up each with some amount of weight.
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 '''Discussion:'''
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-where the r's denote the distance from the center of the beam of each weight hangar and the m's denote the total mass of the weight hangar.
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fw: Diff for "Torque_Beam"

Meter Stick Torque Beam, 1J40.20