Net Force and Equilibrium

And the Horizontal components together F1x + F2x = Rx

And the Vertical components together F1y + F2y = Ry

Calculate R =

Find  $\Theta=\tan^{-1}\left(\frac{\ Ry}{Rx}\right)$  

Now Calculate E = R in the opposite direction.

Define conditions of equilibrium for multiple forces acting in 2 dimensions

Determine the equilibrant of two non-coplanar forces.

Calculate unknown forces for objects in static or dynamic equilibrium

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Resultant

Vector resolution

Equilibrium

Equilibrant

How can you find the equilibrant of two forces?

Draw a vector diagram

Find the horizontal component of the first force. F1x = F1 cos $\theta$  

Find the vertical component of the first force. F1 y = F1 sin  $\theta$  

Similarly find the components of the second force.

And the vertical components F1y + F1y = Ry