Measure the max angle of a 3D pendulum

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SUMMARY

This discussion focuses on measuring the maximum angle of a 3D pendulum using various methods. Participants suggest two primary approaches: investing in a $50,000 3-D camera measurement system or utilizing a more cost-effective method involving a tape measure and flat rulers. The proposed setup includes allowing the pendulum rope to pass through a hole in a table, with rulers arranged radially to measure displacement. Additionally, using a common video camera with a patterned screen for visual analysis is recommended, with the option of employing two cameras for enhanced accuracy.

PREREQUISITES
  • Understanding of basic pendulum mechanics
  • Familiarity with trigonometric functions, specifically Atan
  • Knowledge of camera positioning and measurement techniques
  • Experience with experimental setup and data collection
NEXT STEPS
  • Research methods for using video analysis in pendulum experiments
  • Explore the principles of ballistic pendulums for deeper insights
  • Learn about high-speed camera technology and its applications
  • Investigate advanced measurement systems for precision in physics experiments
USEFUL FOR

Physics students, experimental researchers, and engineers interested in pendulum dynamics and measurement techniques will benefit from this discussion.

cuallito
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Hi, I need a simple way to measure the maximum angle/vertical displacement of a 3D pendulum (weight hanging from a rope) undergoing random impacts. What will work?
 
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Whelp, you could buy a $50,000 3-D camera measurement system and software, or you could use your hand and a tape measure. What's your pleasure?
 
Let the rope pass through a hole in a table. Place a radial array of flat rulers on the table. They will be pushed away by the pendulum rope. Read the distance they are pushed, with y = height of fulcrum above the table, and x = maximum push of ruler, theta = Atan( x / y ).

See; https://en.wikipedia.org/wiki/Ballistic_pendulum
 
You could use a common video camera. It won't be as accurate as a true high speed camera, but it should suffice for experimental purposes. Mount the camera in front of the pendulum at the height of the pendulum at rest. Put a screen behind the pendulum with a pattern of squares on it. Place the screen the same distance from the pendulum as the camera (makes calculating height and swing easier). Even better, two cameras and two screens at 90 deg. from each other.
 

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