Optimizing Stick Rotation in Space: Ideal Center of Mass Placement

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In summary, the conversation discusses the ideal position of the center of mass of a stick in order for its right side to rotate as much as possible when pushed on the left end. The motion of the stick is governed by the laws of conservation of angular and linear momentum, and the center of mass is at 5 cm from the ends if the stick is uniform. It is mentioned that there is no ideal position for the center of mass, but it is where it is. The conversation also discusses the concept of center of mass with different examples and scenarios, and the importance of understanding it in terms of motion and velocity.
  • #36
jbriggs444 said:
The location of the center of mass relative to the ends matters. But so does the degree to which the mass is centralized. Both are relevant. One can even write an equation.

Try it. Apply an impulse "p" at right angles to one end of a rod of length "l" and mass "m" with center of mass offset "r" from the end where the impulse will be applied. If the rod has a moment of inertia "I", what speed will the other end have as a result?

Edit: Take it a step at a time. For instance, what rotation rate will result from the applied impulse?
If the location of the center of mass relative to the ends matters, would the optimum position be in the middle, or closer to the side which the force is applied?
 
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  • #37
Erunanethiel said:
If the location of the center of mass relative to the ends matters, would the optimum position be in the middle, or closer to the side which the force is applied?
Sorry, you are going to have to put some effort of your own into this problem. Until you do, I'm out.
 
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