3. The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r₁ =r2, determine the mass moment of inertia of the quarter ring with respect to (a) the axis AA', b) the centroidal axis CC' that is perpendicular to the plane of the quarter ring. B A' O A 7₁ C 52 C' B¹
3. The quarter ring shown has a mass m and was cut from a thin, uniform plate. Knowing that r₁ =r2, determine the mass moment of inertia of the quarter ring with respect to (a) the axis AA', b) the centroidal axis CC' that is perpendicular to the plane of the quarter ring. B A' O A 7₁ C 52 C' B¹
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Please show very detailed steps especially in calculating the moment of inertia and moment of inertia about AA' (how did the equations become like that)
Transcribed Image Text:The quarter ring shown has a mass m and was cut from a thin,
determine the mass moment
uniform plate. Knowing that r₁
=
72,
of inertia of the quarter ring with respect to (a) the axis AA',
(b) the centroidal axis CC' that is perpendicular to the plane of
the quarter ring.
B
A'
0
A
r₁ C
r₂
C'
B'
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