Answer to Question #201066 in Mechanics | Relativity for karen

Question

The magnitide of the three forces are F1 = 1.6 kN, F2 = 1.2 kN, and F3 = 1.0 kN. Compute their resultant in the form (a) R = Rxi + Ryj + Rzk; and (b) R = Rλ

Answer 1

a) consider the forces being arranged as shown

In simplified form the diagram appears as shown below.

$R=2.288i+1.4056j+0.9063k$

b) $|R|=\sqrt{2.288^2+1.4056^2+0.9063^2}=2.834KN$

$R=R\lambda=2.834[\frac{2.288i+1.4056j+0.9063k]}{2.834}$

$=2.834[0.8073i+0.496j+0.32k]$