This lab is intended to work with
TI-83+ graphing calculators used with Vernier LabPro’s in
collecting data. It is not exhaustive but does examine basic
procedures.
Purpose:
Examine the motion that occurs when one suspends a mass on the end
of a rubber band and pulls it down a few cm. Specifically, the lab
will look at forces exerted on the rubber band during this motion.
Materials:
TI-83+ Calculator
LabPro w/ calculator cradle and connecting cable and power supply
Dual Force Sensor (DFS-BTA)
Rubber Band(s)
Hooked Weights
Procedure:
1. Connect a TI-83+ calculator to LabPro using the cradle and
short connecting cord. Power up the LabPro using either batteries
or an ac power adapter.
2. Mount the Dual Force Sensor on a ring stand or simply hold with
your hand so the hook is at the bottom. Set the range to
±10 N. Plug the connector into one of the analog ports on
the LabPro.
3. Make sure the LabPro is powered up (push center button and if
it sings back to you it’s powered). Start the TI-83+. Press [APPS]
then select EasyData. When the program launches, it will show the
force sensor, indicate the current reading and the collection
mode: Time Graph 3.6 (s). Press the button under Setup and choose
“7” to Zero the setting.
4. Place the hanging mass and rubber band on the DFS. Start the
mass oscillating up and down with a movement of about ±2
cm. As it is oscillating, press the button under Start to collect
data. You should get a trace that resembles a sine wave. If
unsuccessful, choose Main then Start and say OK to overwrite the
last run.
5. Once you have a good run, determine the period of the
oscillation. There’s a blinking cursor at the left side of the
graph. The X (time) and Y (force) values are given on the screen.
Move the blinking cursor across the trace until it reaches a peak.
Note this time. Then move it until it is either one or several
peaks later. Note that time. The difference in time divided by how
many peaks you moved is the period, the time for one oscillation.
6. Record the mass used and the period. Change the mass by adding
or subtracting, then repeat steps 1 to 5.
Data Table:
Again, this is a demonstration lab.
More analysis could be done focusing on various aspects of the
situation like the rate at which the oscillations decay, whether a
Period versus Mass graph matches the ideal found in Simple
Harmonic Motion, would things change if you used a spring rather
than a rubber band, etc.
C. Bakken
October 2013
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