Question #5b790

1 Answer
Apr 4, 2017

Answer:

#"x-component :-3.73 ; y-component :+2.20"#
#"Choice 2"#

Explanation:

#A_x=+ A*cos(60^o)=+6*0.5=+3#
#A_y=+A*sin(60^o)=+6*0.866=+5.196#

#B_x=-B*cos(0^o)=-5*1=-5#
#B_y=B*sin(0^o)=5*0=0#

#C_x=-C*cos(30^o)=-4*0.866=-3.464#
#C_y=-C*sin(30^o)=-4*0.5=-2#

#D_x=+D*cos(30^o)=+2*0.866=+1.732#
#D_y=-D*sin(30^o)=-2*0.5=-1#

#Sigma x=A_x+B_x+C_x+D_x#
#Sigma x=+3-5-3.464+1.732#
#color(red)(Sigma x=-3.73)#

#Sigma y=A_y+B_y+C_y+D_y#
#Sigma y=5.196+0-2-1#
#color(green)(Sigma y=+2.20)#