Simple Circular Motion question

AI Thread Summary
In circular motion, the centripetal force acting on a train traveling along a circular track is influenced by the design of the train's wheels. If the wheel holder is internal, the outer rail provides the centripetal force; if external, the inner rail does. The stress on each wheel is determined primarily by the weight of the train and the static friction. The discussion highlights the importance of wheel design in determining which rail generates the centripetal force. Understanding these factors is crucial for analyzing train dynamics on curved tracks.
StephenP91
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Homework Statement


There is a train traveling along a circular track. Which rail does the centripetal force act on (Inner or Outer) and what 2 factors determine the stress on each wheel.


Homework Equations





The Attempt at a Solution



So I was thinking it might be the outer, but I am not sure and as for the wheels, I imagine one of the factors is the train's weight, as for the other, not sure.
 
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StephenP91 said:

Homework Statement


There is a train traveling along a circular track. Which rail does the centripetal force act on (Inner or Outer) and what 2 factors determine the stress on each wheel.


Homework Equations





The Attempt at a Solution



So I was thinking it might be the outer, but I am not sure and as for the wheels, I imagine one of the factors is the train's weight, as for the other, not sure.

I would think it's the inner track that provides the Fc. Not sure either.

Stress on the wheels would be the weight of the train and the static friction.
 
StephenP91 said:

Homework Statement


There is a train traveling along a circular track. Which rail does the centripetal force act on (Inner or Outer) and what 2 factors determine the stress on each wheel.

Homework Equations


The Attempt at a Solution



So I was thinking it might be the outer, but I am not sure and as for the wheels, I imagine one of the factors is the train's weight, as for the other, not sure.

The correct answer is: it depends how the wheels are made.

This is a common train wheel
[PLAIN]http://img690.imageshack.us/img690/3334/14149522.jpg

If the holder is internal (see picture) as in all trains, the track that generates the centripetal force is the outer.
If the holder is external, the inner track generates the centripetal force.

There is a reason why the holder is internal, why ?
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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