Coupled pendula with measure Dynamics
Principle
Two identical gravity pendula with a particular characteristic frequency are coupled via a “soft” spiral spring. The amplitudes of both pendula are recorded as a function of time. The coupling factors are determined by way of different methods. Then, the local
points of the oscillation are integrated into the video.
Benefits
- Large and sturdy set-up suitable for demonstration and lab courses as well
- Live data-logging system to measure the oscillations of both pendula at once
- Easy measurement and evaluation via movement tracking software
Measuring tape, l = 2 m
Software “Measure Dynamics”, single user
Support rod, stainless steel, 500 mm
Support rod, stainless steel, 750 mm
Helical spring, 3 N/m
Pendulum with recorder connection
Spring balance,transparent, 1 N
Right angle clamp expert
Bench clamp expert
Tasks
- Determination of the spring constant of the coupling spring.
- Determination and adjustment of the characteristic frequency of the uncoupled pendulum. Determination of the moment of inertia of the pendulum.
- Graphical representation of the oscillation of the two pendula as a function of time and determination of the oscillation frequency compared to the theoretical oscillation frequency for
A) the “in phase” oscillation.
B) the “antiphase” oscillation.
C) the beat case.
What you can learn about
- Spiral spring
- Gravity pendulum
- Spring constant
- Torsional vibration
- Torque
- Beat
- Angular velocity
- Angular acceleration
- Characteristic frequency