The object below consists of a uniform disk (mass M radius R), a hoop (mass M, radius R/2) and a point mass (mass M, located at radius R/3), all glued together. Calculate (and simplify) a formula for the total moment of inertia of this object about the central axis indicated. Show all your working.

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The object below consists of a uniform disk (mass M radius R), a hoop (mass M, radius R/2)
and a point mass (mass M, located at radius R/3), all glued together. Calculate (and simplify)
a formula for the total moment of inertia of this object about the central axis indicated. Show
all your working.
R/2
R/3
R.
Axis of rotation
Transcribed Image Text:The object below consists of a uniform disk (mass M radius R), a hoop (mass M, radius R/2) and a point mass (mass M, located at radius R/3), all glued together. Calculate (and simplify) a formula for the total moment of inertia of this object about the central axis indicated. Show all your working. R/2 R/3 R. Axis of rotation
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