A heavy particle is tied to the end \( A \) of a string of length \( 1.6 \mathrm{~m} \). Its oth...

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A heavy particle is tied to the end \( A \) of a string of length \( 1.6 \mathrm{~m} \). Its other end \( O \) is fixed. It revolves as a conical pendulum with the string making \( 60^{\circ} \) with the vertical. Then
(1) its period of revolution is \( 4 \pi / 7 \mathrm{~s} \).
(2) the tension in the string is doubled the weight of the particle
(3) the velocity of the particle \( =2.8 \sqrt{3} \mathrm{~m} / \mathrm{s} \)
(4) the centripetal acceleration of the particle is \( 9.8 \sqrt{3} \mathrm{~m} / \mathrm{s}^{2} \).
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