Moments of Inertia of Some Objects
(a) Thin circular ring radius R, axis perpendicular to plane, at centre `I=MR^2`
(b) Thin circular ring radius R, axis diameter `I=1/2mR^2`
(c) Thin rod of length L, axis perpendicular to rod at mid point `I=1/(12)MR^2`
(d) Circular disc radius R, axis perpendicular to disc at centre `I=1/2M R^2`
(e) Circular disc radius R, axis diameter `I=1/4MR^2`
(f) Hollow cylinder radius R, axis of cylinder `I=MR^2`
(g) Solid cylinder radius R, axis of cylinder `I=1/2MR^2`
(h) Solid sphere radius R, axis diameter `I=2/5MR^2`
(b) Thin circular ring radius R, axis diameter `I=1/2mR^2`
(c) Thin rod of length L, axis perpendicular to rod at mid point `I=1/(12)MR^2`
(d) Circular disc radius R, axis perpendicular to disc at centre `I=1/2M R^2`
(e) Circular disc radius R, axis diameter `I=1/4MR^2`
(f) Hollow cylinder radius R, axis of cylinder `I=MR^2`
(g) Solid cylinder radius R, axis of cylinder `I=1/2MR^2`
(h) Solid sphere radius R, axis diameter `I=2/5MR^2`