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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.

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.

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
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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