Can a Particle Sliding on a Rotating Rod Decrease in Distance Over Time?

In summary: Sorry, I don't know about the co-rotating frame.In summary, the particle slides on a rod rotating in a plane at a constant angular velocity. The motion is given by r=Ae^{-\gamma t}+Be^{+\gamma t} where gamma is a constant which must be found. The solution for a particular initial condition gives that r decreases continually in time, but for any other choice r will eventually increase.
  • #36
well, just like the rod produces a perpendicular contact force (N), i would assume, as the ball wants to move radially out, there would be some friction involved. Or does the fact that the problem says, "slide along the rod freely" tell us to ignore this?
 
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  • #37
Yes, "slide freely" means "no friction".
 
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