Two identical semicircular discs of mass \( m \) each and radius \( R \) are placed in the \...

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Two identical semicircular discs of mass \( m \) each and radius \( R \) are placed in the \( X Y \) (horizontal) plane and the \( Y Z \)
\( \mathrm{P} \) (vertical) plane, respectively. They are so placed that they

W have their common diameter along the \( Y \)-axis. Then, the moment of inertia of the system
(1) \( I_{X}=\frac{1}{2} m R^{2} \)
(2) \( I_{Y}=\frac{1}{2} m R^{2} \)
(3) \( I_{Z}=\frac{3}{4} m R^{2} \)
(4) \( I_{X}=I_{Z} \)
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