Problem 5 Morin 9.45 A stick of mass m and length 2r is arranged to make a constant angle with the horizontal, with its bottom end sliding in a circle on a frictionless ring of radius r. What is the frequency of this motion? It turns out that there is a minimum for which this motion is possible; what is it? If the radius of the ring is now R, what is the largest value of r/R for which this motion is pos- sible for →→ 0?

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Problem 5 Morin 9.45 A stick of mass m and length 2r is arranged to make a constant angle
0 with the horizontal, with its bottom end sliding in a circle on a frictionless ring of radius r.
What is the frequency of this motion?
It turns out that there is a minimum for which this motion is possible; what is it?
If the radius of the ring is now R, what is the largest value of r/R for which this motion is pos-
sible for → 0?
2r
0
Transcribed Image Text:Problem 5 Morin 9.45 A stick of mass m and length 2r is arranged to make a constant angle 0 with the horizontal, with its bottom end sliding in a circle on a frictionless ring of radius r. What is the frequency of this motion? It turns out that there is a minimum for which this motion is possible; what is it? If the radius of the ring is now R, what is the largest value of r/R for which this motion is pos- sible for → 0? 2r 0
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