Question

Find the magnitude, giving the answer to 3 significant figures, and the direction,giving the answer as an angle from the positive x axis in degrees to 1 decimal place,of the resultant of the forces shown in the diagram.

Answer 1

`\begin{gathered} \rightarrow+ \\ R_x=30Ncos\left(65°\right)+50Nsin\left(40°\right)-55N \\ Rx=-10.2N \\ \uparrow+ \\ Ry=30Nsin(65\text{\degree})-50Ncos(40\text{\degree}) \\ Ry=-11.1\text{ N} \\ R=√(Rx^2+Ry^2) \\ R=√((-10.2N)^2+(-11.1N)^2) \\ R=15.1N \\ \theta=\tan^(-1)((Ry)/(Rx)) \\ \theta=\tan^(-1)(\frac{-11.1\text{ N}}{-10.2N}) \\ \theta=227.4° \\ The\text{ resultant is 15.1N and its angle is 227.4\degree} \end{gathered}`