A uniform thin rectangular plate of mass lies in the -plane with its centre at O

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform thin rectangular plate of mass

5.0\,\text{kg}

lies in the

xy

-plane with its centre at O. The moment of inertia about the

z

-axis through O is

1.50\,\text{kg m}^2

. About a line

L

parallel to the

x

-axis and passing through a point P located

0.30\,\text{m}

from O along the

y

-direction, the moment of inertia is

1.20\,\text{kg m}^2

. (i) Calculate the moment of inertia of the plate about the

x

-axis through O. (ii) Hence find its moment of inertia about the

y

-axis through O.