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Question: If the moment of inertia of a disc about an axis tangential and paralled to its surface be I, then w...

If the moment of inertia of a disc about an axis tangential and paralled to its surface be I, then what will be the moment of inertia about the axis tangential but perpendicular to the surface:

A

6/5 I

B

3/4 I

C

3/2 I

D

5/4 I.

Answer

6/5 I

Explanation

Solution

M.I. of disc about tangent in a plant

=54mR2= \frac { 5 } { 4 } m R ^ { 2 }= I

mR2=45I\therefore m R ^ { 2 } = \frac { 4 } { 5 } I

M.I. of disc about tangent to plane

Substituting the value of mR2 from equation (i) we get