Answer to Question #314064 in Atomic and Nuclear Physics for roy

Question #314064

Compute algebraically the resultant of the

following coplanar forces: 100 N at 30O

, 141.4


N at 45O

, and 100 N at 240O


. Check your


answer graphically.


1
Expert's answer
2022-03-20T18:51:05-0400

Fx=F1cosα1+F2cosα2+F3cosα3=136.6 N,F_x=F_1\cos\alpha_1+F_2\cos\alpha_2+F_3\cos\alpha_3=136.6~N,

Fy=F1sinα1+F2sinα2+F3sinα3=63.4 N,F_y=F_1\sin\alpha_1+F_2\sin\alpha_2+F_3\sin\alpha_3=63 .4~N,

F=Fx2+Fy2=150.6 N,F=\sqrt{F_x^2+F_y^2}=150.6~N,

ϕ=arctanFyFx=25°.\phi=\arctan\frac{F_y}{F_x}=25°.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment