a uniform "thin hollow spherical shell" of mass "M" and radius "R" is hung at the top, a point mass "m" is attached to under the shell; this compound pendulum swings under the vertical gravity g

a) find the center of mass

b) find the moment of inertia with respect to the center of mass

c) find the moment of inertia with respect to the point O

d) find the radius of gyration R_g with respect to the point O

I = 2MR²/3

radius of gyration R_g= (I₃/M)^1/2 where I₃ is measured with respect to the pivot point

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