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Grade 11Mechanics

A glass wind screen whose inclination with the vertical can be changes is mounted on a car. The car moves horizontally with a speed of 2m/sec. At what angle theta with the vertical should the wind screen be placed so that the rain drops falling vertically downwards with velocity 6 m/sec strike the wind screen perpendicularly?

Profile image of AP
11 Years agoGrade 11
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1 Answer

Profile image of Nicho priyatham
11 Years ago
 
take upwards as j and  direction of motion of car as i
find the velocity of rain wrt car  
Vrc=Vr-Vc
     =-6j-2i  
now 3i-j is vector perpencicular to given vector
the acute angle made by the above vector with vertical is tan-1(3)
note:the above question can be done easily with digram but the system dosnt provide us this option 
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