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A man is coming down an incline of 30 degree. When he walks with speed 2√3m/s he has to keep his umbrella vertical to protect himself from rain. The actual speed of rain is 5 m/s. At what angle with vertical should he keep his umbrella when he is at rest so that he does not get drenched?

A man is coming down an incline of 30 degree. When he walks with speed 2√3m/s he has to keep his umbrella vertical to protect himself from rain. The actual speed of rain is 5 m/s. At what angle with vertical should he keep his umbrella when he is at rest so that he does not get drenched?

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Grade:11

1 Answers

Arun
25750 Points
3 years ago
velocity of man is along the incline plane
 
so we have
 
 
 
 
 
speed of rain is given as 5 m/s
 
now we know that velocity of man with respect to rain must be along Y direction as we know that man holds his umbrella vertical when he is moving on inclined plane
 
so we know that
 
 
 
 
 
so we have
 
 
 
 
 
 
 
so when man is at rest then he must have to hold his umbrella at 37 degree with the vertical
 
 

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