Analytical Mech Homework Solutions 105

Analytical Mech Homework Solutions 105 - 3 zcm = a 14 2 2 m...

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3 14 cm a z = 8.4 (a) 22 2 0 32 2 zi i i mb b R   == + +     Im 2 6 z mb I = (b) ds rd dr θ = , sin Rr = 2 z I Rd s ρ = 4 0 4 sin rb z r I rr d r d π θθ == = =− = ∫∫ 4 2 4 4 sin 4 z b I d = 2 sin 2 sin 24 d 4 1 442 z b I ρπ 2 1 4 = () 2 2 4 z mb I (c) 2 x ds hdx b dx b Where the parabola intersects the line , yb = 1 2 x by b ± bb y xx I x b dx bx dx ρρ −− 4 4 15 y I b = 2 2 4 3 b b x d x b b =−= 2 1 5 y I mb = (d) dv 2 RhdR = hbz = 3
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