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HOME > PHYWE COUPLED PENDULA
PHYWE Coupled Pendula |
Learn about:
- Spiral spring
- Gravity pendulum
- Spring constant
- Torsional vibration
- Torque
- Beat
- Angular velocity
- Angular acceleration
- Characteristic frequency
Two equal gravity pendula with a particular characteristic frequency are coupled by a “soft” spiral spring. Aamplitudes of both pendula are recorded as a function of time for various vibrational modes and different coupling factors using a recorder. The coupling factors are determined by different methods. If two gravity pendula with the same angular characteristic frequency are coupled by a spring, the system will experience two different types of torque, one due to the presence of gravity and the other to the spring-tension.
For the epxeriment without COBRA3, the amplitude of the pendula can be printed out on the recorder. The DC-output voltage of the power supply unit is adjusted to 10 V, and the paper speed moves about 1 mm/sec. The pendula are only deflected to such an extent that the individual amplitudes do not exceed the paper width available. The experiment with the Cobra3 Unit will output the information to your comuter instead of the printer.
The amplitudes as a function of time are to be recorded for different coupling lengths using the several different initial conditions.
A. Both pendula are deflected with the same amplitude to the same side and simultaneously released. (in- phase vibration)
B. Both pendula are deflected with the same amplitude but in opposite directions and simultaneously released. (in opposite phase vibration)
C. One pendulum remains at rest. The second pendulum is deflected and released (beat mode). Here satisfactory results can only be achieved if during the preparation both pendula have been properly adjusted in such a way that they have in fact the same period.
In all three cases the vibrations have to be recorded for at least three or four minutes. From the plotted curves the mean values for the corresponding vibrational periods can be determined.
In this experiment, you can determine the coupling factors for various coupling-lengths using various methods: apparatus constants, angular frequencies for in phase and in opposite phase vibration and angular frequencies of the beat mode. The linear relation between the square of the coupling-lengths and the particular frequencies of the beat mode and the square of the frequency for in opposite phase vibration can also be investigated. You can also determine the pendulum’s characteristic frequency from the vibrational modes with coupling and to compare this with the characteristic frequency of the uncoupled pendula.
Included with WLS1807-80:
Pendulum w. recorder connection, Helical spring, 3 N/m, Rod with hook, Weight holder for slotted weights, Slotted weight,10 g, 2 channel recorder, Power supply 0-12 V DC/6 V, 12 V AC, Bench clamp, Support rod , Right angle clamp, Measuring tape, l = 2 m, Connecting cords, Manual on CD-ROM included.
Included with WLS1807-81:
Pendulum with recorder connection; helical spring, 3 N/m; rod with hook; weight holder for slotted weights; slotted weight, 10 g; capacitor, 10 mF/35 V; Cobra3 Basic Unit; power supply 12 V; Cobra3 Universal writer software; RS 232 data cable; power supply, 0-12 VDC/6 V, 12 VAC; bench clamp; support rod; right angle clamp; measuring tape; onnecting cords; and manual on CD-ROM.
System requirements:
PC, WindowsR 95 or higher
For your convenience this experiment is available to you as a complete set.
Everything you require to perform the activities are included in the total price.
For assistance in using your new equipment we also offer professional development (WLS1808-24) on all PHYWE line products.
For customization options and pricing please contact your local Cenco representative.
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