Question

Please help

Multiple Concept Example 9 provides background pertinent to this problem. The magnitodes of the four displacement vectors shown in the drawing are A 18.0 m, B 11.0 m, C- 10.0 m, and D 22.0 magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis. ermine the (a) ty +x (a) NumberT12.3 UnitsT m (b) N um 72.5

Answer 1

here ,

for the net x component

x = 22 * cos(50) - 18 * cos(20) - 10 * cos(35)

x = -10.96 m

for the y component

y = 18 * sin(20) + 11 - 10 * sin(35) - 22 * sin(50)

y = -5.4 m

NOw, for the net displacement

magnitude = sqrt(10.96^2 + 5.4^2) = 12.28 m

the magnitude of displacement is 12.3 m

as the net displacement is in third quardart

direction of net displacement = 180 + arctan(5.4/10.96)

direction of net displacement = 206 degree

the direction of net displacement is 206 degree