A small block of mass \( m \) is pushed on a smooth track from position \( A \) with a velocity ...
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A small block of mass \( m \) is pushed on a smooth track from position \( A \) with a velocity \( 2 / \sqrt{5} \) times the minimum velocity required to reach point \( D \). The block will leave the contact with track at the point where normal force between them becomes zero.
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W
At what angle \( \theta \) with horizontal does the block gets separated from the track?
(1) \( \sin ^{-1}\left(\frac{1}{3}\right) \)
(2) \( \sin ^{-1}\left(\frac{3}{4}\right) \)
(3) \( \sin ^{-1}\left(\frac{2}{3}\right) \)
(4) Never leaves contact with the track
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