Each of the following objects has a radius of 0.150 m and a mass of 2.75 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 36.7 rad/s. Find the magnitude of the angular momentum of each object. Moments of Inertia for Various Rigid Objects of Uniform Composition Hoop or thin cylindrical shell 1 = MR² Solid sphere MR R Thin spherical shell Solid cylinder or disk | = Long, thin rod with rotation axis Long, thin rod with rotation axis through center through end 1-MI? 12 1=- ML? (a) a hoop kg · m2/s (b) a solid cylinder kg - m2/s (c) a solid sphere kg · m?/s (d) a hollow spherical shell kg - m2/s

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Chapter1: Units, Trigonometry. And Vectors
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Each of the following objects has a radius of 0.150 m and a mass of 2.75 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 36.7 rad/s. Find
the magnitude of the angular momentum of each object.
Moments of Inertia for Various Rigid Objects of Uniform Composition
Hoop or thin
cylindrical shell
1 = MR²
Solid sphere
1- M
R
e!
Solid cylinder
or disk
Thin spherical
shell
R
1- M
Long, thin rod
Long, thin
rod with
with rotation axis
through center
rotation axis
through end
I =
MI?
I=
ML?
(a) a hoop
kg · m2/s
(b) a solid cylinder
kg · m2/s
(c) a solid sphere
kg • m2/s
(d) a hollow spherical shell
kg • m2/s
Transcribed Image Text:Each of the following objects has a radius of 0.150 m and a mass of 2.75 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 36.7 rad/s. Find the magnitude of the angular momentum of each object. Moments of Inertia for Various Rigid Objects of Uniform Composition Hoop or thin cylindrical shell 1 = MR² Solid sphere 1- M R e! Solid cylinder or disk Thin spherical shell R 1- M Long, thin rod Long, thin rod with with rotation axis through center rotation axis through end I = MI? I= ML? (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg • m2/s (d) a hollow spherical shell kg • m2/s
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