Calculating the Period Time of a Ball Inside a Ball

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SUMMARY

The discussion focuses on calculating the period time of a ball inside another ball, where each ball has different densities (p1 and p2) and the system experiences friction. The key to solving this problem lies in applying the equations of motion and understanding the conservation principles involved. Participants emphasize the importance of determining whether there is friction between the balls, which significantly affects the calculations. The solution requires a thorough analysis of the forces and torques acting on the balls.

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  • Understanding of Newton's laws of motion
  • Familiarity with concepts of rotational dynamics
  • Knowledge of conservation of energy and momentum
  • Basic principles of friction and its effects on motion
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Homework Statement



As you can see, I have a ball inside a ball.
One with a density p1 and the other p2.
the ball stand on a surface with friction so it can move without sliding.
they move the ball from its rest point and release it.
I need to figure out the period time, any idea?


Homework Equations





The Attempt at a Solution

 

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asi123 said:
As you can see, I have a ball inside a ball.
One with a density p1 and the other p2.
the ball stand on a surface with friction so it can move without sliding.
they move the ball from its rest point and release it.
I need to figure out the period time, any idea?

Hi asi123! :smile:

(is there zero friction between the balls?)

The only way to approach this is to work out the equations of its motion first.

Hint: lots of things are being conserved. :wink:
 

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