Question

the moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is I its moment of inertia about an axis coincident with the tangent to it is

Answer 1

Dear student
$$\begin{gathered} 1)Momentofinertiaofadiscaboutthe\tan gentwhichisperpendiculartotheplaneofthediscis \\ Byparallelaxistheorem \\ {I}_{\tan gent}=I_{centeofmass}+M\times R^2(Ristheradiusofthediscthatisperpendiculardis\tan cebetweentheaxispas\sin gthroughcentreofmassandthe\tan gent) \\ {I}_{\tan gent}=I+M\times R^2(Mismassofthedisc) \\ Regards \end{gathered}$$