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# What is the method of obtaining the moment of inertia of a cylinder of mass M and radius R and length L through(i) the centre perpendicular to the length(ii) end faces and perpendicular to the length.Please explain.

147 Points
11 years ago

Dear Hinan ali

we know that

Iz= mr2/2

and Ix + Iy =Iz

by symmetry Ix =Iy

so Ix =Iz/2

=mr2/4

and from parallel axix theorem  Ix' = Ix + mx2

so                                         Ix' = Ix + mL2/4

=mr2/4 + mL2/4

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