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

Question

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 (A)  5 kg m2  (B)  45 kg m2  (C) 12.5 kg m2  (D)  500 kg m2

Tardigrade Admin · Accepted Answer

Perpendicular axis theorem Iz= Ix +Iy = 20 + 25 = 45 kg m2

Q. Moment of inertia of a body about two perpendicular axes X and Y in the plane of lamina are $20 k g m^{2}$ and $25 k g m^{2}$ 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

$5 k g m^{2}$

$45 k g m^{2}$

$12.5 k g m^{2}$

$500 k g m^{2}$

Perpendicular axis theorem
$I_{z} = I_{x} + I_{y}$
$= 20 + 25 = 45 k g m^{2}$

Q. Moment of inertia of a body about two perpendicular axes X and Y in the plane of lamina are 20kgm2 and 25kgm2 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

5kgm2

45kgm2

12.5kgm2

500kgm2