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  4. Moment of inertia of a body about two perpendicular axes X and Y in the plane of lamina are 20 kg m2 and 25 kg m2 respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of X and Y axes is

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Q. Moment of inertia of a body about two perpendicular axes X and Y in the plane of lamina are $20 \, kg \, m^2$ and $25 \, kg \, m^2$ respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of X and Y axes is

KCETKCET 2018System of Particles and Rotational Motion

Solution:

Perpendicular axis theorem
$I_z= I_x +I_y $
$= 20 + 25 = 45 \,kg\, m^2$