6. A ball free to move in two dimensions is subject to the spring force F=-kr .We assume the spring has natural length r = 0. Hint: Determine the total energy in polar coordinates. This almost yields a "nice" Differential Equation, except for the theta term. Use angular momentum conservation to substitute for theta to resolve that problem. Now determine r(t) and then t(t).
6. A ball free to move in two dimensions is subject to the spring force F=-kr .We assume the spring has natural length r = 0. Hint: Determine the total energy in polar coordinates. This almost yields a "nice" Differential Equation, except for the theta term. Use angular momentum conservation to substitute for theta to resolve that problem. Now determine r(t) and then t(t).
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![6. A ball free to move in two dimensions is subject to the spring force F=-kr
spring has natural length r = 0.
We assume the
Hint: Determine the total energy in polar coordinates. This almost yields a “nice" Differential
Equation, except for the theta term. Use angular momentum conservation to substitute for theta to
resolve that problem. Now determine r(t) and then t(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b3361ec-c0f3-4ebc-9a0d-5fa82576332f%2F655e050d-1125-4d92-8735-0d13277c9fdc%2F9v1wtvp7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. A ball free to move in two dimensions is subject to the spring force F=-kr
spring has natural length r = 0.
We assume the
Hint: Determine the total energy in polar coordinates. This almost yields a “nice" Differential
Equation, except for the theta term. Use angular momentum conservation to substitute for theta to
resolve that problem. Now determine r(t) and then t(t).
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