the greatest and the least resultant of two force acting at a point are 12Nand 8N respectively find out the force
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heya friend!!☺
here's your answer!!☺☺
In this problem you are adding two vectors whose direction differs by 90 degrees. You can consider the magnitude of each vector to be the force it is applying in its own direction (in this case 8N and 12N, respectively). So then you need to find the magnitude of the sum of the two vectors. Since they are 90 degrees apart you can do this easily because the resultant vector is the hypotenuse of a right angle triangle with two other sides of length 8 and 12.
So applying the pythagorean theorem. C^2=A^2+B^2
C^2=8^2+12^2 -> C^2=64+144=208
then C=sqrt(208)=14.422
in this case 14.422N.
hope it helps you!!☺☺
here's your answer!!☺☺
In this problem you are adding two vectors whose direction differs by 90 degrees. You can consider the magnitude of each vector to be the force it is applying in its own direction (in this case 8N and 12N, respectively). So then you need to find the magnitude of the sum of the two vectors. Since they are 90 degrees apart you can do this easily because the resultant vector is the hypotenuse of a right angle triangle with two other sides of length 8 and 12.
So applying the pythagorean theorem. C^2=A^2+B^2
C^2=8^2+12^2 -> C^2=64+144=208
then C=sqrt(208)=14.422
in this case 14.422N.
hope it helps you!!☺☺
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