A horizontal plane supports a fixed vertical cylinder of radius \( R \) and a particle is attach...

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A horizontal plane supports a fixed vertical cylinder of radius \( R \) and a particle is attached to the cylinder by a
\( \mathrm{P} \) horizontal thread \( A B \) as shown in figure. The particle

W initially rest on a horizontal plane. A horizontal velocity \( v_{0} \) is imparted to the particle, normal to the threading during subsequent motion. Point out the false statements.
(1) Angular momentum of particle about \( O \) remains constant.
(2) Angular momentum about \( B \) remains constant.
(3) Momentum and kinetic energy both remain constant.
(4) Kinetic energy remains constant.
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