problem09_66

University Physics with Modern Physics with Mastering Physics (11th Edition)

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9.66: a) By successively integrating Equations (9.5) and (9.3), . ) rad/s 042 . 0 ( ) rad/s 90 . 0 ( 6 2 , ) rad/s 125 . 0 ( ) rad/s 80 . 1 ( 2 3 3 2 2 3 2 2 3 2 2 t t t β t γ θ t t t β γt z - = - = - = - = ϖ b) The maximum positive angular velocity occurs when 0, = z α , β = γ t the angular velocity at this time is = = - = β γ β γ β β γ γ ω z 2 2 2 1 2 48 . 6 ) rad/s 25 . 0 ( ) rad/s 80 . 1 ( 2 1 3 2 2 = rad/s. The maximum angular displacement occurs when 0, = z ω at time β
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Unformatted text preview: t 2 = ( t = 0 is an inflection point, and ) ( θ is not a maximum) and the angular displacement at this time is 2 3 3 2 3 2 2 6 2 2 β β β θ γ = γ- β γ γ = = rad. 2 . 62 ) rad/s 25 . ( ) rad/s 80 . 1 ( 3 2 2 3 3 2 =...
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  • maximum angular displacement, 0.90 rad, 0.25 rad, positive angular velocity, 0.042 rad

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