Physics
Physics
Problem
Two horizontal forces act on a small ring. • Force 1: magnitude directed above the positive -axis. • Force 2: magnitude directed counter-clockwise from the positive -axis. Determine the magnitude and direction (angle measured counter-clockwise from the positive -axis) of a single additional horizontal force that will keep the ring in static equilibrium.Intuitive explanation
The key to equilibrium is that all forces must sum to zero—so your third force must exactly cancel the net effect of the first two. Resolve each given force into and components, add them to find the resultant, then recognize that the equilibrium force is simply the negative of that resultant (opposite magnitude, opposite direction). This transforms a geometry problem into straightforward component arithmetic.
Intuitive explanation
The key to equilibrium is that all forces must sum to zero—so your third force must exactly cancel the net effect of the first two. Resolve each given force into and components, add them to find the resultant, then recognize that the equilibrium force is simply the negative of that resultant (opposite magnitude, opposite direction). This transforms a geometry problem into straightforward component arithmetic.