question_answer

The moment of inertia of a circular disc of radius 2 m and mass 1 kg about an axis passing through the centre of mass but perpendicular to the plane of the disc is\[2\text{ }kg\text{ }{{m}^{2}}\]. Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure).

A) \[8\text{ }kg\text{ }{{m}^{2}}\]                

B) \[4\text{ }kg\text{ }{{m}^{2}}\]

C) \[10\text{ }kg\text{ }{{m}^{2}}\]                              

D) \[6\text{ }kg\text{ }{{m}^{2}}\]

Correct Answer: D

Solution :

According to parallel axis theorem