A baton is constructed by attaching two small objects that each have a mass M to the ends of a uniform rod that has a length L and a mass M. Modeling the small objects as point particles, derive an expression for the moment of inertia of the baton when it is rotated about a point I from one end in terms of the given quantities. If the answer contains a ratio, please enter it as a fraction, not a decimal. I II Incorrect ML²
A baton is constructed by attaching two small objects that each have a mass M to the ends of a uniform rod that has a length L and a mass M. Modeling the small objects as point particles, derive an expression for the moment of inertia of the baton when it is rotated about a point I from one end in terms of the given quantities. If the answer contains a ratio, please enter it as a fraction, not a decimal. I II Incorrect ML²
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Transcribed Image Text:A baton is constructed by attaching two small objects that each have a mass M to the ends of a uniform rod that has a length L
and a mass M.
Modeling the small objects as point particles, derive an
expression for the moment of inertia of the baton when it is
rotated about a point I from one end in terms of the
given quantities. If the answer contains a ratio, please enter it
as a fraction, not a decimal.
I =
Incorrect
4
M1²
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The baton's moment of inertia about an
axis perpendicular to the baton and that
passes through the baton's center is the
sum of the moments of inertia of the
thin rod of mass M and length L about
its center and the two small masses at
distances of 1/2 from the center.
When applying the parallel-axis
theorem, the distance is the distance
from the object's center of mass to the
rotation axis.
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