Mathematical calculation

Calculating the assignment as "force times beeline aisle segment" can alone be done in the simple affairs declared above. If the force is changing, if the anatomy is affective forth a arced path, possibly alternating and not necessarily rigid, again alone the aisle of the appliance point of the force is accordant for the assignment done, and alone the basic of the force alongside to the appliance point acceleration is accomplishing assignment (positive assignment back in the aforementioned direction, and abrogating back in the adverse administration of the velocity). This basic of the force can be declared by the scalar abundance alleged scalar borderline basic (\scriptstyle F\cos\theta, area \scriptstyle \theta is the bend amid the force and the velocity). And again the best accepted analogue of assignment can be formulated as follows:

Assignment of a force is the band basic of its scalar borderline basic forth the aisle of its appliance point.

Simpler (intermediate) formulas for assignment and the alteration to the accepted analogue are declared in the argument below.