Q27 / 223 · NTA Abhyas (NEET) 2020 · Physics · Rotational Motion
For the same total mass of the following will have the largest moment of inertia an axis passing through the centre of mass and perpendicular to the plane of the body
- AA disc of radius
- BA ring of radius
- CA square lamina of side
- Correct answerDFour rods forming a square of side
Solution
MI of disk of radius about given axis is
MI of ring of radius about given axis is
MI of square of side about given axis is
MI of four rods forming square of side about given axis is
So among all options four rods forming square of side has highest moment of inertia of about an axis passing through its center of mass and perpendicular to the plane of body.
MI of ring of radius about given axis is
MI of square of side about given axis is
MI of four rods forming square of side about given axis is
So among all options four rods forming square of side has highest moment of inertia of about an axis passing through its center of mass and perpendicular to the plane of body.
Hence, the correct answer is option: 'D'.