Kindly, show working for credit. Three forces shown act at point 0. Determine th
ID: 1838726 • Letter: K
Question
Kindly, show working for credit.
Three forces shown act at point 0. Determine the resultant force obtained by adding all the forces. Express the resultant force as a Cartesian vector in kilonewtons. (Assume F_2 = 6.36 kN and F_3 = 5.12 kN.) bar R = () kN Express the resultant force in terms of its magnitude in kilonewtons and direction in degrees counterclockwise from the +x-axis. magnitude kN direction degree counterclockwise from the +x-axis Finally, determine unit vectors in the directions of each of the component forces as well as in the direction of the resultant force. (Express your answers in vector form.) bar u_F_1 = bar u_F_2 = bar u_F_3 = bar u_R =Explanation / Answer
F1 = 3 i + 4j kN
F2 = 6.36 (- 5/13 i + 12/13 j) = - 2.45 i + 5.87 j kN
F3 = - 5.12 j kN
R = F1 + F2 + F3
R = 0.55i + 4.75j kN ..............Ans
magnitude = sqrt(0.55^2 + 4.75^2) = 4.78 kN ........Ans
direction = tan^-1(4.75 / 0.55) = 83.4 deg .......Ans
u1 = (3i + 4j)/ sqrt(3^2 + 4^2) = 0.6i + 0.8 j .........Ans
u2 = -5/13 i + 12/13 j = - 0.385 i + 0.923 j .......Ans
u3 = - j
R = (0.55i + 4.75j ) / 4.78 = 0.115 i + 0.994 j
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