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Analytical Mech Homework Solutions 128

Analytical Mech Homework Solutions 128 - Is = 1.00327 I It...

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9.13 From Example 9.6.2, 0.2 α ′′ = and 1.00327 s I I = It follows from equation 9.6.10 that, for s I I > , the angle between ω G and is: L G 1 tan tan s I I α θ α α = For α so small, tan α α , and 1 tan tan tan s s s I I I I I I α α α s s s I I I I I α α θ α α = .00327 0.2 0.00065 1.00327 α θ = arcsec 9.14 From Table 8.3.1, 2 2 ma = s I and 2 4 ma I = 3 ˆ e ω ω = D G and 3 ˆ ˆ 4 ma P e ω = G 3 P G 0 ω G ω G Selecting the 2-axis through the point of impact, during the collision … 2 2 3 ˆ ˆ ˆ 4 4 ma ma Ndt r p ae e e 1 ˆ ω ω = × = × = G G G G The only non-zero component of is . During the collision N 1 N 2 0 ω = , so integrating the first of Euler’s equations 9.3.5 …
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