Maurice Tutor

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    Argosy University/ Phoniex University/
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Category > Management Posted 29 Jan 2018 My Price 7.00

massless rod of length

 

 

Balancing a pencil

Consider a pencil that stands upright on its tip and then falls over. Let’s idealize the pencil as a mass m sitting at the end of a massless rod of length . 19

(a) Assume that the pencil makes an initial (small) angle θ0 with the vertical, and that its initial angular speed is ω0. The angle will eventually become large, but while it is small (so that sin θ ≈ θ), what is θ as a function of time?

(b) You might think that it would be possible (theoretically, at least) to make the pencil balance for an arbitrarily long time, by making the initial θ0 and ω0 sufficiently small.

Answers

Maurice Tutor
(5)
Status NEW Posted 29 Jan 2018 11:01 PM My Price 7.00

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