A pipe which can rotate in a vertical plane is mounted on a cart. The cart moves uniformly along a horizontal path with a speed v 1 = 2 m/s. At what angle α to the horizontal should the pipe be placed so that drops of rain falling vertically with a velocity v 2 = 6m/s move parallel to the axis of the pipe without touching its walls ? Consider the velocity of the drops as constant due to the resistance of the air.

Text Solution
Verified by ExpertsThe correct answer is:
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α = tan -1 3
Sol.

tan α =
= 3 α = tan –1 3
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