Question about rotational energy.

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physicsbro
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Homework Statement


Five objects of equal mass are shown below together with the axis about which they are rotating. Select the objects in order of increasing rotational energy

Solid Sphere, about any diameter, with R = 3 m and ω=5 rad/s


Thin rod, about axis through center, perpendicular to the length with l = 8 m and ω=6 rad/s


Solid Cylinder, about cylinder axis with R = 3 m and ω=5 rad/s


Thin Spherical shell, about any diameter, with R = 2 m and ω=7 rad/s


Thin cylindrical shell, about cylinder axis with R = 1 m and ω=7 rad/s



Homework Equations



(1/2)Iw^2

The Attempt at a Solution



Most of these have no mass or moment of intertia included and I am not sure how to deal with that.
 
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You are supposed to calculate the moments of inertia first. Your textbook must have a table where these are listed. Note that all the masses are the same, therefore you can rank the energies because they will always be

E = (some number)*m