141_Problem CHAPTER 9

141_Problem CHAPTER 9 - PROBLEM 9.116 The machine component...

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PROBLEM 9.116 The machine component shown was cut from a thin, uniform plate. Denoting the mass of the component by m , determine its mass moment of inertia with respect to ( a ) the axis , BB ( b ) the centroidal axis CC that is perpendicular to the plane of the component. SOLUTION First note () 4 22 2 3 mt AA aa a ρ == = or 2 3 m t a = ( a ) Now , mass , area BB BB It I ′′ = 33 4 2 11 1 6 1 3 3 3 m ta a a a a a   =− =      2 , mass 5 or 3 BB I ma = W ( b ) First locate centroid 4 7 2 6 4 a a yA Ya A +− Σ =
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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