A particle of mass \( m \) moves along the internal smooth surface ...

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A particle of mass \( m \) moves along the internal smooth surface of a vertical cylinder of radius \( R \)
\( \mathrm{P} \) as shown. The force which acts on the wall of

W the cylinder if initially the velocity \( \mathrm{v}_{0} \) of the particle makes an angle \( \alpha \) with the horizotal (Assume that particle does not leave contact with the curved surface of the cylinder) is :-
(1) \( \frac{m v_{0}^{2}}{R} \)
(2) \( \frac{m v_{0}^{2} \cos ^{2} \alpha}{\mathrm{R}} \)
(3) \( \frac{m v_{0}^{2} \sin ^{2} \alpha}{R} \)
(4) \( \mathrm{mg} \)
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