# hw17 - ˆ j : ω 2 =-2 . 4 ω 2 =-2 . 4 ˆ k rad / sec ˆ i...

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TAM212 Introductory Dynamics Spring 2005 S. Balachandar Homework 17 (3.3, 3.8) 3.3 O B j i ϖ v B = v O + ω × r OB = 0 + 0 . 2 ˆ k × (0 . 5 ˆ i - 0 . 5 ˆ j ) = 0 . 1 ˆ i + 0 . 1 ˆ j m / s 3.8 B β β β 1 2 3 6 rad/s A P Q v B = ± ± > 0 v Q + 6 ˆ k × ( - 4 ˆ i ) = - 24 ˆ j 1

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v A = ± ± > 0 v P + ω 1 ˆ k × (5 ˆ j ) = - 5 ω ˆ i v B = v A + ω 2 ˆ k × (10 ˆ i + 9 ˆ j ) - 24 ˆ j = - 5 ω 1 ˆ i + 10 ω 2 ˆ j - 9 ω 2 ˆ i Equating the ˆ i and ˆ j coefFcients separately, we get
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Unformatted text preview: ˆ j : ω 2 =-2 . 4 ω 2 =-2 . 4 ˆ k rad / sec ˆ i : 5 ω 1 =-9(-2 . 4) = 21 . 6 ω 1 = 4 . 32 ˆ k rad / sec 2...
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## This note was uploaded on 05/24/2010 for the course TM 212 taught by Professor Richard during the Spring '10 term at University of Illinois, Urbana Champaign.

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hw17 - ˆ j : ω 2 =-2 . 4 ω 2 =-2 . 4 ˆ k rad / sec ˆ i...

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