Measure the max angle of a 3D pendulum

In summary, for measuring the maximum angle/vertical displacement of a 3D pendulum undergoing random impacts, one can either use a $50,000 3-D camera measurement system and software or a hand and tape measure. Another option is to let the rope pass through a hole in a table and use a radial array of flat rulers to measure the distance they are pushed. Additionally, a common video camera can be used with a screen placed behind the pendulum with a pattern of squares on it. Two cameras and screens at 90 degrees from each other would provide even better results.
  • #1
cuallito
95
1
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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  • #2
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?
 
  • #3
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
 
  • #4
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.
 

Related to Measure the max angle of a 3D pendulum

What is a 3D pendulum?

A 3D pendulum is a physical system that consists of a mass suspended by a rigid rod or wire that can move in three dimensions: back and forth, side to side, and up and down. This type of pendulum is often used to demonstrate principles of physics and engineering.

What is the max angle of a 3D pendulum?

The max angle of a 3D pendulum refers to the maximum angle that the pendulum swings away from its resting position. It is typically measured in degrees or radians and is affected by factors such as the length of the pendulum, the mass of the hanging object, and the force of gravity.

How do you measure the max angle of a 3D pendulum?

The max angle of a 3D pendulum can be measured using a protractor or angle measuring device. The pendulum is set in motion and the angle at which it swings away from its resting position is recorded. This process can be repeated multiple times to ensure accurate measurements.

What factors affect the max angle of a 3D pendulum?

The max angle of a 3D pendulum is affected by several factors, including the length of the pendulum, the mass of the hanging object, and the force of gravity. Additionally, the initial angle at which the pendulum is released and any external forces acting on the system can also impact the max angle.

Why is it important to measure the max angle of a 3D pendulum?

Measuring the max angle of a 3D pendulum allows scientists and engineers to better understand the principles of pendulum motion and how different factors affect its behavior. This information can then be applied to real-world situations, such as designing stable structures or predicting the movement of objects in space.

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