A small sphere is given vertical velocity of magnitude \( v_{0}=5 \mathrm{~m} \mathrm{~s}^{-1} \...
A small sphere is given vertical velocity of magnitude \( v_{0}=5 \mathrm{~m} \mathrm{~s}^{-1} \) and it swings in a vertical plane about the end
\( \mathrm{P} \) of a massless string. The angle \( \theta \) with the vertical at which
W string will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere, is
(1) \( \cos ^{-1}\left(\frac{2}{3}\right) \)
(2) \( \cos ^{-1}\left(\frac{1}{4}\right) \)
(3) \( 60^{\circ} \)
(4) \( 30^{\circ} \)
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