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A glass wind screen whose inclination wi...

A glass wind screen whose inclination with the vertical can be changed, is mounted on a car as shwon in figure. The cart moves uniformly along the horizontal path with a speed of `6m//s`. At what maximum angle a to the vertical can be wind scrren be placed so that the rain drops falling vertically downwards with velcoity `2m//s`, do not enter the cart?

Text Solution

Verified by Experts

The correct Answer is:
`2tan^(-1) (1//3)`
`tan(alpha)/(2) = (v_(R))/(v_(C)) rArr tan(alpha)/(2) = (2)/(6)`

`(alpha)/(2)= tan^(-1) ((1)/(3)) rArr alpha = 2 tan^(-1) ((1)/(3))`
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