 Quote by InvalidID
Opps. Error on my part. Don't worry too much about the derivation. The second question is more important for me at the moment.
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I would like you to derive it yourself. It is very simple; just use the fact that this system conserves the total energy and that, by definition, ω
2 = k / m. As for the second question, you are confusing the angular frequency of the period of the motion with the angular velocity of the mass. It is unfortunate that both have the same symbol for the particular case you are working with but use [itex]\dot{\theta }[/itex] instead for the angular velocity.