Experiments regarding C of A.M.

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In summary, the conversation discusses the need for a testing experiment that demonstrates the conservation of angular momentum. One idea suggested is to create a gyroscope and observe the changes in angular momentum as it spins. Another thought experiment involves a vertical rod with a spring and an object attached, where changes in the length of the spring affect the angular momentum. The conversation also mentions the importance of considering external forces and the possibility of the object's motion being two-dimensional.
  • #1
ACLerok
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I'm in desperate need of any testing experiment that shows the conservation of angular momentum. It should be something where an objects shape or radius changes while it spins, and calculate the angular momentum at each moment in time to see if it's conserved. If anybody has any ideas at all, PLEASE leme know! Thanks
 
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Why don't u consider making ur own Gyroscope...and spin it while sitting in a chair such that its axis of spin is perpendicular to the ground. Now make it parallel to the ground . U will find that the chair now rotates
 
  • #3
Well, this is possibly a dumb thought experiment that can't be realized in practice, but anyways:
Attach to a vertical rod L a spring K standing normal to L.
K is sufficiently stiff so that it can't bend downwards much.
Attach to K at the end an object O of mass m.
Apply an external torque T to L, such that the system rotates around the axis L with angular velocity w0.
Due to the centrifugal force on O, K will stretch a bit in its length direction.
Now remove T, and assume that L is free to rotate about the vertical but that it's centerline doesn't move (for example, placing the lower part of L in a closely fitting container.
We assume that the friction between the container wall and L is negligible, at least over the duration period of the experiment.

MECHANISM OF CONSERVATION OF ANG. MOM::
Since we neglect the effect of friction on L from the container, changes in angular velocity w(t), should come from the dynamics associated with O.

The only forces acting on O is the centrifugal force, the spring force, and gravity.
I will assume that the motion of O remains 2-dimensionsial, in the plane normal to L.
(This is probably incorrect; I suspect rod L would jump up and down somewhat, being correlated with the interplay of gravity and the spring force's component normal to K's length direction, making O oscillate somewhat in the vertical.)

We look at the component of angular momentum along L.
In the 2-D approximation, we see:
a) The forces on O (centrifugal and spring force) are radial (along K), and, so the rate of change of angular momentum along L should be zero.
b) The 2-D approximation implies therefore that m*r(t)^(2)w'(t)=constant.
(r(t) is K's length at t)
The prediction should therefore be:
When K contracts, w(t) should increase, when K lengthens, w(t) should decrease..
 

FAQ: Experiments regarding C of A.M.

What is the purpose of conducting experiments on the concept of the "Conservation of Angular Momentum"?

The purpose of conducting experiments on the concept of the "Conservation of Angular Momentum" is to validate and better understand this fundamental law of physics. By performing experiments, scientists can gather empirical evidence and data to support the theory and make accurate predictions about the behavior of rotating objects.

What equipment is typically used in experiments related to the "Conservation of Angular Momentum"?

The equipment used in experiments related to the "Conservation of Angular Momentum" varies depending on the specific experiment, but some common tools include rotating platforms, pendulums, gyroscopes, and sensors to measure angular velocity and acceleration. Other equipment may include weights, strings, springs, and pulleys to manipulate the objects being studied.

How do scientists ensure that the "Conservation of Angular Momentum" is being accurately observed in their experiments?

Scientists ensure the accuracy of their observations by carefully controlling and measuring all the variables involved in the experiment. This includes controlling the initial conditions and carefully recording and analyzing the data collected. Scientists also conduct multiple trials to verify their results and eliminate any potential errors or anomalies.

Can experiments on the "Conservation of Angular Momentum" be conducted at any scale?

Yes, experiments on the "Conservation of Angular Momentum" can be conducted at any scale, from tiny particles to large planets. The principles of angular momentum apply to all rotating objects, regardless of size. However, the equipment and methods used may vary depending on the scale of the experiment.

How do experiments on the "Conservation of Angular Momentum" contribute to our understanding of the universe?

Experiments on the "Conservation of Angular Momentum" contribute to our understanding of the universe by providing evidence for this fundamental law of physics. This law plays a crucial role in various phenomena, such as planetary motion, the behavior of galaxies, and the stability of rotating objects. By studying and verifying the conservation of angular momentum, scientists can better understand the fundamental principles that govern the behavior of our universe.

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