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Q.

If the moment of inertia of a disk kept in xz plane about x and y axis are, respectively, 30 kgm2 and 40 kgm2, then moment of inertia about z-axis (in kgm2) will be

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a

zero

b

50

c

10

d

70

answer is C.

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Detailed Solution

According to the perpendicular axis theorem,
Ix+Iz=Iy
Where Ix and Iz are the moment of inertia of planer object about the x and z axis respectively, which lie in the same plane of the body. Iy is moment of inertia of the object about y axis which is perpendicular to the plane of the body.
According to the given question:

30+Iz=40Iz=10kgm2

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