Question
The moment of inertia of disc about an axis passing through centre and perpendicular to the plane of disc is 1/2 MR2, where M is mass and R is radius of disc. Find the moment of inertia about an axis perpendicular to tangent.
Solution
Let I be the moment of inertia about an axis perpendicular to tangent.
The line perpendicular to tangent is the axis parallel to the axis passing through centre and perpendicular to the plane of the disc.
Using theorem of parallel axis, the moment of inertia about an axis perpendicular to tangent is,
The line perpendicular to tangent is the axis parallel to the axis passing through centre and perpendicular to the plane of the disc.
Using theorem of parallel axis, the moment of inertia about an axis perpendicular to tangent is,
