Deciding holonomic constraint by drawing a picture

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Pushoam
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Homework Statement


Printed exercise text: "Exercise 1.6 Draw a picture showing that a marble can roll on a tabletop and return to its initial position with a different orientation, but that there is a one-to-one relation between angle and position for rolling in a straight line."


Homework Equations

The Attempt at a Solution


I have not understood the question.

So, could anyone please put some more light upon the question?
 
Attachments
  • Printed exercise text: "Exercise 1.6 Draw a picture showing that a marble can roll on a tabletop and return to its initial position with a different orientation, but that there is a one-to-one relation between angle and position for rolling in a straight line."
    upload_2018-3-16_18-23-24.png
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Discussion

Why don't you do the experiment with a ball or some other sphere ?
Compare with a coin rolling along a ruler
 
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Thanks, I did the coin experiment and understood the question. It's constraint of rolling motion of a coin, l = r ## \theta##.
 
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