Answered: 6. A ball free to move in two… | bartleby

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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).

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