A pendulum of length 3.2 m is free to rotate in a vertical circle. Let the velocity of pendulum at its lowest position be v 0 then match the following-
Column – I | Column – II |
(i) If v0 = 4m/s, maximum height attained by pendulum (in meter) | [A] Zero |
(ii) If v0 = m/s, minimum velocity of pendulum (in meter/sec) | [B] 2 |
(iii) If v0 = 8 m/s, maximum height attained by pendulum (in meter) | [C] 3.2 |
(iv) If v0 = 8 m/s, minimum velocity of pendulum (in meter/sec) | [D] 5.4 |
Text Solution
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Ans.
(i) [D]
(ii) [B]
(iii) [C]
(iv) [A]
Sol. Tension in pendulum is given by
when, 
When 
Pendulum will undergo projectile motion beyond this
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