PASCO ME-8092 User Manual
Instruction Manual
Instruction Manual
012-09074A
012-09074A
Force Distribution Apparatus
ME-8092
Included Equipment Part Number
1
ME-8092
ME-8092
613-099
615-245
576-09338
Aluminum Beam
Ball
Captured Thumbscrews (qty. 3)
Hex Standoffs (qty. 3)
CD-ROM containing DataStudio Configuration Files
Required Equipment
Force Sensors (two required, third optional)
Motion Sensor
Balance
Required Mounting Equipment
3
Table Clamps (qty. 2)
Multi Clamps (qty. 2)
120 cm Rod
90 cm Rod
PS-2104 or equivalent
PS-2103 or equivalent
SE-8775A or equivalent
ME-9472
SE-9442
ME-8741
ME-8738
2
2
45 cm Rod
1
Files require DataStudio version 1.9.5 or later. Visit www.pasco.com to download the latest version of DataStudio.
2
See “Equipment Notes” on page 5.
3
May be replaced with any equipment for mounting the apparatus as pictured on page 3.
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ME-8736
Force Distribution Apparatus Introduction
Introduction
The Force Distribution Apparatus allows you to study the forces and
torques exerted on a stationary beam as a ball rolls along it. A motion
sensor tracks the position of the ball and two force sensors measure the
supporting forces. As the position of the ball changes, you will discover
how the supporting forces change to keep the beam in static equilibrium.
Setup
The beam has five tapped holes, or mounting points, to which force sensors can be
attached: two outer points, two inner points, and a central point. Some typical configurations are shown below.
Two sensors attached at the inner points
Two sensors attached at the outer points
Aluminum Beam
Support Rod
Force
Sensors
To attach a force sensor to the beam:
1. Thread a thumbscrew into one
of the beam’s tapped holes.
Screw it all the way in so it is
loosely captured as pictured
(near right).
2. Thread a hex standoff onto the
thumbscrew. Screw it all the
way in so it is loosely captured.
Two sensors, one attached at an outer point and one
attached at an inner point
Two sensors, one attached at an inner or outer point,
the other attached at the central point
Three sensors, one attached at the central point, the
others attached at the inner or outer points
3. If a hook or bumper is con-
nected to the force sensor,
remove it. Screw the thumbscrew into the force sensor as
pictured (far right).
2
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Model No. ME-8092 Theory
4. Repeat the process to attach a second force sensor.
5. Mount the apparatus on a horizontal rod as shown below. (Note that both force
sensors face the same way.)
6. Position the motion sensor at the height of the ball and 15 to 20 cm from the end
of the beam.
7. Incline beam slightly so the ball rolls slowly away from motion sensor.
8. Open the DataStudio file Force Distribution.ds from the included CD-ROM.
Connect the force and motion sensors to a PASPORT interface (or interfaces).
Connect the left force sensor first followed by the right force sensor.
2
Theory
As the ball rolls along the beam, the beam remains in static equilibrium. The criteria
for static equilibrium of an extended body are
• the sum of all the external forces is zero:
• and the sum of all the external torques is zero:
As the ball changes position, the force exerted by each force sensor changes, but the
net force exerted by the ball and both force sensors remains constant at zero. Also, the
torque exerted by the ball changes (because the ball’s lever arm changes), but the net
torque exerted by the ball and both force sensors remains constant at zero.
F
net
ΣF 0==
τ
net
Στ 0==
1
1
If you are using three
PASPORT force sensors, open the file
Distribution (3 force).ds.
Connect the left, right,
and center force sensors
in that order.
2
If you are using
ScienceWorkshop sensors, see page 5 for
instructions.
Force
Procedure
1. Set up the apparatus with two force sensors at the inner attachment points.
2. Measure the mass of the ball.
3. With the ball removed from the beam, press the zero buttons (or tare buttons) on
both force sensors.
4. In DataStudio, view the graph of position versus time
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3
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