In the picture above, static equilibrium is shown when both of them fight over the same toy. The angles shown using the arrows are a better view of what is taking place. When this happens there is an invisible arrow connecting the two. The force of the dog to the right + the force of the dog to the left =the resultant. But to place the toy into a state of static equilibrium, a third force would have to be added. Shown in blue, the static equilibrium + the force of the two dogs will balance out which also equals to zero.
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