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Question

For the body shown in the figure:


Statement 1:Iz=Ix+Iy
Statement 2:Ix=Iz+Iy and Iy=Ix+Iz
where x, y and z are the axes of rotation of the body.
Choose the correct option.

A
Statement 2 is correct and statement 1 is incorrect.
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B
Statement 1 is correct and statement 2 is incorrect.
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C
Both statements are correct
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D
None of these
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Solution

The correct option is B Statement 1 is correct and statement 2 is incorrect.

Using Perpendicular axes theorem,
Iz=Ix+Iy

But Ix=Iz+Iy is incorrect as z and y are not in the plane of the body.
Similarly,
Iy=Ix+Iz is incorrect as x and z are not in the plane of the body.
Statement 1 is correct and statement 2 is incorrect.

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