Two forces act simultaneously at a point: and .

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Two forces act simultaneously at a point:

\mathbf{F}_{1}=6\,\hat\imath - 2\,\hat\jmath\,\text{N}

and

\mathbf{F}_{2}=-4\,\hat\imath + 8\,\hat\jmath\,\text{N}

. (a) Obtain the magnitude and direction of the resultant force

\mathbf{F}_{\text{res}}=\mathbf{F}_{1}+\mathbf{F}_{2}

. Give the direction as an angle measured from the positive x–axis. (b) A third force

\mathbf{F}_{3}

is applied so that the point remains in translational equilibrium. Determine the magnitude and direction of

\mathbf{F}_{3}