Angular Momentum of Glass on a String

2 replies · 2K views · last reply
bugatti79
Messages
786
Reaction score
4
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
 
Attachments
  • Diagram of a glass hanging from a horizontal rod by a string that runs over the rod's end to a cork, which is held at the left, with the string kept taut horizontally.
    Glass_String.jpg
    38.2 KB · Views: 473
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?