Q. 16

# The surface density (mass/area) of a circular disc of radius α depends on the distance from the centre as p(r) =A +Br. Find its moment of inertia about the line perpendicular to the plane of the disc through its centre.

The moment of inertia = Given

The radius of the circular disc is “a”, and the distance from the center to the edge of the disc is given as . Hence to find moment of inertia we find the relationship mass and moment of inertia in terms of area.

Formula Used

The inertia of the body for a point of mass is the product of the square of the radius with the mass of the body. The formula is where

I is the moment of Inertia, A is the area of the object and r is the radius of the object.

Explanation

The moment of inertia of a disc is    Rate this question :

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