Clicks principle

Click's principle is expressing ax + by from (a+b)(x+y). If a+b is C and x+y is D:CD - (ay+bx)=ax+by. This is not the distributive property because this arrangement allows for using the distributive property to get ax + by on one side of an equation.It only works if you know the total of a+b and x+y in variables or quantity.
Application
It has been applied to express the sum of velocities before a two object linear collision.
(m1 + m2)(v1+ v2)----> MtotalVtotal -(m1v2+m2v1)
V1 + V2= 1/M(m1v2+m2v1+m1v1+m2v2)
V1 and V2 are the velocities before the collision. m1 and m2 are the masses. v1 + v2 are the velocities before the collision.
Note that the velocities of the other mass and the mass of the other objects can be involved in the sum of the velocities before the collision. If one velocity is O say v1: 1/M(m2v2+m1v2)=v2
This promotes the use of systems theory because of the influence of one mass on another mass's velocity. This means that one velocity is not a completely independent variable.

Main Menu

See Also

Main Menu