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 \( \left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right) \)
(a) Its period of revolution is \( \frac{4 \pi}{7} \mathrm{sec} \).
(b) The tension in the string is double the weight of the particle
(c) The speed of the particle \( =2.8 \sqrt{3} \mathrm{~m} / \mathrm{s} \)
(d) The centripetal acceleration of the particle is \( 9.8 \sqrt{3} \mathrm{~m} / \mathrm{s}^{2} \).
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