512_Dynamics 11ed Manual

# 512_Dynamics 11ed Manual - O The material has a specific...

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Engineering Mechanics - Dynamics Chapter 17 Problem 17-13 Determine the moment of inertia of the assembly about an axis which is perpendicular to the page and passes through the center of mass G . The material has a specific weight γ . Given: a 0.5 ft = r 1 1f t = b 0.25 ft = r 2 2f t = c t = γ 90 lb ft 3 = Solution: I G 1 2 γπ cr 2 a + () 1 2 γπ cb () r 2 4 1 γπ br 1 4 = I G 118slug ft 2 = Problem 17-14 Determine the moment of inertia of the assembly about an axis which is perpendicular to the
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Unformatted text preview: O . The material has a specific weight . Given: a 0.5 ft = b 0.25 ft = c 1 ft = r 1 1 ft = r 2 2 ft = 90 lb ft 3 = Solution: I O 3 2 c r 2 a + ( ) 4 1 2 c b − ( ) r 2 4 c b − ( ) r 2 2 r 2 a + ( ) 2 + ⎡ ⎣ ⎤ ⎦ − 1 2 br 1 4 br 1 2 r 2 a + ( ) 2 + ⎡ ⎣ ⎤ ⎦ − + ... = I O 283slug ft 2 ⋅ = 510...
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