A small mass \( m \) is attached to a massless string whose other e...

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A small mass \( m \) is attached to a massless string whose other end is fixed at \( P \) as shown in the figure. The mass is undergoing circular motion in the \( x \) - \( y \) plane with centre at \( O \) and constant angular speed \( \omega \). If the angular momentum of the system, calculated about \( O \) and \( P \) are denoted by \( \mathbf{L}_{O} \) and \( \mathbf{L}_{P} \) respectively, then
P
W
(a) \( \mathbf{L}_{O} \) and \( \mathbf{L}_{P} \) do not vary with time
\( (2012) \)
(b) \( \mathbf{L}_{O} \) varies with time while \( \mathbf{L}_{P} \) remains constant
(c) \( \mathbf{L}_{O} \) remains constant while \( \mathbf{L}_{P} \) varies with time
(d) \( \mathbf{L}_{O} \) and \( \mathbf{L}_{P} \) both vary with time
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