Angular Momentum of Glass on a String

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SUMMARY

The discussion centers on the application of the conservation of angular momentum to a scenario involving a glass and cork suspended on a string. Participants explore the dynamics of the cork's motion when released, questioning how the glass remains stable due to angular momentum principles. Key equations referenced include linear momentum (P = m*v) and the implications of external forces on the system. The conversation highlights the need for a quantitative analysis of the cork's trajectory and the effects of gravity and friction.

PREREQUISITES
  • Understanding of angular momentum conservation principles
  • Familiarity with basic physics equations, particularly momentum (P = m*v)
  • Knowledge of circular motion dynamics
  • Concepts of external forces and their impact on motion
NEXT STEPS
  • Research the principles of angular momentum in closed systems
  • Study the effects of friction and air resistance on motion
  • Explore the dynamics of circular motion and its equations
  • Investigate the role of external forces in mechanical systems
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of angular momentum and motion in mechanical systems.

bugatti79
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Hi Folks,

Problem Statement

How would one use the conservation of angular momentum to explain the attached picture?
The rod is held fixed horizontally..the person holds on to the cork and then let's go...apparently the glass is saved due to this conservation...

Relevant Equations

Momentum P=m*v

Attempted Answer

Letting go of the cork..I suspect the cork to fall under gravity while the glass is pulling it horizontally due to gravity.
The cork will then spin around the horizontal bar.
Not sure how one would use conservation of momentum to describe what is happening quantitatively?

Regards
B
 

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If the glass was held stationary, what would the motion of the cork be when it was released? I would expect it to swing downward in a circular motion, then back upward on the opposite side, almost to the height from where it was initially released. (Friction and air resistance would prevent it from reaching the original height.)

So why would you expect it to wrap around the rod in the case where the glass was released? Would it? If so, what would cause that to happen? It would have to reach a height higher than its original height. What could cause that - if it did indeed happen?
 
bugatti79 said:
How would one use the conservation of angular momentum to explain the attached picture?
In the system of glass, cork, and string, what unknown external force is there? How can you take moments in such a way that a given external force is irrelevant?
 

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