A) \[\frac{M{{R}^{2}}\omega }{2}\]
B) \[M{{R}^{2}}\omega \]
C) \[\frac{3}{2}\,M{{R}^{2}}\omega \]
D) \[2\,M{{R}^{2}}\omega \]
Correct Answer: C
Solution :
\[{{\vec{L}}_{o}}={{\vec{L}}_{1}}\] [due to rotational motion of body about an axis passing through the centre of mass] \[{{\vec{L}}_{2}}=\][due to translational motion of the centre of mass about O] \[\Rightarrow \]\[{{\vec{L}}_{o}}=\frac{M{{R}^{2}}}{2}\omega +MR(R\omega )=\frac{3}{2}M{{R}^{2}}\omega \] in clockwise direction.
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