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727_Dynamics 11ed Manual

# 727_Dynamics 11ed Manual - cos ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟...

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Engineering Mechanics - Dynamics Chapter 21 I y 2 83 320 W h c 2 2 2 W h b 2 3 8 c 2 + 2 + W c b 2 12 c 2 2 1 4 + + = I y 1.70 slug ft 2 = I aa I z cos θ () 2 I y sin () 2 + = I aa 1.13 slug ft 2 = Problem 21-18 Determine the moment of inertia about the z axis of the assembly which consists of the rod CD of mass M R and disk of mass M D . Given: M R 1.5 kg = M D 7kg = r 100 mm = l 200 mm = Solution: atan r l = I 1 1 3 M R l 2 1 4 M D r 2 + M D l 2 + = I 2 I 1 = I 3 1 2 M D r 2 = I mat 1 0 0 0 cos () sin () 0 sin
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Unformatted text preview: ( ) cos ( ) ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ I 1 I 2 I 3 ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ 1 cos ( ) sin ( ) sin ( ) − cos ( ) ⎛ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎠ ⎡ ⎢ ⎢ ⎣ ⎤ ⎥ ⎥ ⎦ = I z I mat 2 2 , = I z 0.0915 kg m 2 ⋅ = 725...
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