Question

The moment of inertia of a thin uniform circular disc about one of its diameter is I. Its moment of inertia about an axis tangent to it and perpendicular to its plane is

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Answer 1

Answer:

The moment of inertia of thin uniform circular disc about one of the diameter is I. Its moment of inertia about an axis perpendicular to the circular surface and passing through its centre is. Id=I+I=2I.13-Aug-2020

Answer 2

Answer:

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Explanation:

Let mass of circular disc is M and radius R.

Given, Moment of Inertia (MOI) about one of its diameter=l, ⇒4MR2=l  ⇒MR2=4l  ....1

MOI about an axis passing through the centre of the disc=2MR2

Using parallel theorem of MOI, I=Icm+mx2 , Where Icm is MOI of centre of mass and x is the distance between centre of mass  and axis of rotation. 

MOI about an axis tangent to disc and perpendicular to its plane=2MR2+MR2=23MR2=6l   (Using equation 1, MR2=4l