507_Dynamics 11ed Manual

507_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 17 Solution: b ⌠ 2 ⎮ ⎛ y3 ⎞ m = ⎮ γ π ⎜a ⎟ d y ⎜ b3 ⎟ ⎮ ⎝ ⎠ ⌡0 m = 0.083 slug b ⌠ 2 2 3 3 ⎮ 1 ⎛ y⎞⎛ y⎞ Iy = ⎮ γ π ⎜a ⎟ ⎜a ⎟ d y 2 ⎜ 3⎟ ⎜ 3⎟ ⎮ ⎝ b⎠⎝ b⎠ ⌡0 Iy k= Iy = 0.201 slug⋅ in k = 1.56 in m *Problem 17-4 Determine the moment of inertia Ix of the sphere and express the result in terms of the total mass m of the sphere.The sphere has a constant density ρ. Solution: r ( ) ⌠ 43 2 2 m = ⎮ ρ π r − x dx = r ρ π 3 ⌡− r ⌠ 3m ⎮ Ix = 3⎮ 4π r ⌡ r −r (r2 − x2) 2 π 2 dx ρ= Ix = 3m 3 4π r 22 mr 5 Problem 17-5 Determine the radius of gyration kx of the paraboloid. The density of the material is ρ. 6 Mg = 10 gm Units Used: Given: h = 200 mm r = 100 mm ρ =5 Mg m 3 505 2 ...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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