The resultant.
Coplanar or not, the two conditions for equilibrium are:The sum of all forces must be zeroThe sum of all torques must be zero.
Just area. Since there is no available term for the sum of the areas of all surfaces of a figure, we call that area of the "irregular" figure.
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In that case, the sum of all forces must be zero.
Balanced: the vector sum of all forces on an object is zero. Unbalanced: this sum it is not zero.
I'd call it the resultant, but "net force" is a good name too.
When the (vector) sum of all forces equal zero.
No, the magnitude of the resulting force when forces are combined is at MOST equal to the sum of forces, this is when they are all in the same direction. Else its magnitude will always be less than the sum of magnitudes of the individual forces involved (some forces will be oposing or "fighting" others).
Net force is a vector sum because it considers both the magnitude and direction of the individual forces acting on an object. When multiple forces are applied to an object in different directions, the net force provides a single resultant force that accounts for the combined effect of all the forces.
Net force.
Coplanar or not, the two conditions for equilibrium are:The sum of all forces must be zeroThe sum of all torques must be zero.
In a system in equilibrium, the sum of all forces acting on an object must be zero according to Newton's first law of motion. Additionally, for a system in rotational equilibrium, the sum of all torques must also be zero.
That simply means that the sum (vector sum) of all forces acting on an object is not equal to zero.
* Balanced: The vector sum of all forces on an object is zero. The object does not accelerate.* Unbalanced: The vector sum of all forces on an object is NOT zero, the object DOES accelerate.
The term that describes the vector sum of all forces acting on an object is "net force." Net force takes into account both the magnitude and direction of all individual forces acting on the object.