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A particle \( \mathrm{P} \) of mass \( \mathrm{m} \) is attached by two strings \( \mathrm{AP} \) and BP, each of length \( l \) to a vertical axis.
\( \mathrm{P} \) The saparation \( \mathrm{AB}=l \). Particle \( \mathrm{P} \) is rotated about

W the axis \( \mathrm{AB} \) with angular velocity \( \omega \). The tension in the two strings AP and BP are \( T_{1} \) and \( T_{2} \) respectively. Then :-
(1) \( T_{1}=T_{2} \)
(2) \( \mathrm{T}_{1}+\mathrm{T}_{2}=m \omega^{2} l \)
(3) \( T_{1}+T_{2}=2 \mathrm{mg} \)
(4) \( T_{1}+T_{2}=\frac{1}{2} m \omega^{2} \ell \)
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