A vector D = [ 30 cm , 50 degree ] and vector F = [ 45 cm , 150 degree ]
Use the graphic method to find the magnitude and direction of the sum R = D + F ?
1
Expert's answer
2011-06-22T13:41:54-0400
In Cartesian coordinates D={ρ1 cosφ;ρ1 sinφ} = {30*cos50;30*sin50} = {13.3;23}. F={ρ2 cosφ;ρ2 sinφ} = {45*cos150;45*sin150} = {-39;22.5}. D+F = {13.3-39;23+45.5} = {-25.7;45.5}. The magnitude of vector is M = √(-25.72 +22.52) = 52.26 cm. The same you can get depicting D as vector that originates at {0;0}, has length of 30 cm, angle between positive x direction is 50; and depicting F as vector that originates at {0;0}, has length of 45 cm, angle between positive x direction is 150
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment