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The forces 20N ,30N,40N,50N and 60N are acting at one of the angular points of a regular hexagon, towards the other five angular point , taken in order. Find the magnitude and direction of the resultant force.

The forces 20N ,30N,40N,50N and 60N are acting at one of the angular points of a regular hexagon, towards the other five angular point , taken in order. Find the magnitude and direction of the resultant force.
 

Grade:12th pass

3 Answers

Arun
25750 Points
4 years ago
Dear student
 
I have attached the image. Please go through it. And in case of any difficulty, please feel free to ask again.
564-748_20.JPG
 
Regards
Vikas TU
14149 Points
4 years ago
aswanth nayak
100 Points
4 years ago
Dear Student,
Please find the following solution,
 
Summation of forces in x direction= 20 + 30 cos 30 + 40 Cos 60 - 60 Cos 60 = 35.98
Animation of forces in wind direction is equal to 30 sin 30 + 40 sin 60 + 50 + 60 sin 60= 151.60
Resultant of a force acting is
R=√(fx)*(fx)+(fy)*(fy)
R=155.80
Alpha =tan(inverse(fy/fx))
Alpha=76.64
 
 
Hope this helps you
Regards

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