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Unformatted text preview: connected in parallel. In the ﬁgure, φ ˙ is positive up the page, θ ˙ is positive going into the page. Using spherical coordinates r, θ, φ derive the equations of motion for the mass. For the initial conditions listed, describe the motion of the pendulum after a long time. (Neglect air resistance.) ˙ 3 π r = L, r = L, θ = 4 , θ ˙ = 0 , φ = 0 , φ ˙ = 0 4. Do problem 6.8 of Greenwood’s Principles of Dynamics 2...
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 Spring '03
 EarlMurman
 Prof. J. P., Prof. J. Deyst, constantly increasing elevation, constant rotation rate

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