Based on the figure, determine the x and y components of the resultant of OA , BC and DE .

Step-by-step solution

Resolving the given vectors into their x and y components: For vector OA : OA_x = 2.0 30^ = 2.0 3 2 1.732 m OA_y = 2.0 30^ = 2.0 1 2 = 1.0 m For vector BC : The vector makes an angle of 60^ with the negative x -axis. BC_x = -1.5 60^ = -1.5 1 2 = -0.75 m BC_y = 1.5 60^ = 1.5 3 2 1.5 0.866 = 1.299 m For vector DE : The vector is directed along the negative y -axis. DE_x = 0 m DE_y = -1.0 m The x -component of the resultant vector is: R_x = OA_x + BC_x + DE_x = 1.732 - 0.75 + 0 = 0.982 m 0.98 m The y -component of the