ROTATIONAL INERTIAOF SOLID BODIES
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Rotational Motion

269631 The moment of inertia of a hollow sphere of mass \(M\) having internal and external radii \(R\) and \(2 R\) about an axis passing through its centre and perpendicular to its plane is

1 \(\frac{3}{2} M R^{2}\)
2 \(\frac{13}{32} M R^{2}\)
3 \(\frac{31}{35} M R^{2}\)
4 \(\frac{62}{35} M R^{2}\)
Rotational Motion

269632 Find moment of inertia of half disc of radius \(R_{2}\) and mass \(M\) about its centre. A smaller half disc of radius \(R_{1}\) is cut from this disc.

1 \(\frac{M}{4}\left(R_{1}{ }^{2}+R_{2}{ }^{2}\right)\)
2 \(\frac{M}{8}\left(R_{1}^{2}+R_{2}^{2}\right)\)
3 \(\frac{M}{16}\left(R_{1}^{2}+R_{2}^{2}\right)\)
4 \(\frac{M}{32}\left(R_{1}^{2}+R_{2}^{2}\right)\)
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Rotational Motion

269631 The moment of inertia of a hollow sphere of mass \(M\) having internal and external radii \(R\) and \(2 R\) about an axis passing through its centre and perpendicular to its plane is

1 \(\frac{3}{2} M R^{2}\)
2 \(\frac{13}{32} M R^{2}\)
3 \(\frac{31}{35} M R^{2}\)
4 \(\frac{62}{35} M R^{2}\)
Rotational Motion

269632 Find moment of inertia of half disc of radius \(R_{2}\) and mass \(M\) about its centre. A smaller half disc of radius \(R_{1}\) is cut from this disc.

1 \(\frac{M}{4}\left(R_{1}{ }^{2}+R_{2}{ }^{2}\right)\)
2 \(\frac{M}{8}\left(R_{1}^{2}+R_{2}^{2}\right)\)
3 \(\frac{M}{16}\left(R_{1}^{2}+R_{2}^{2}\right)\)
4 \(\frac{M}{32}\left(R_{1}^{2}+R_{2}^{2}\right)\)
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