Conceptual Dynamics - Independent Learning

Linear Impulse-Momentum Principle

 

Lecture content

 

Linear impulse-momentum principle for a system of particles

 

The linear momentum for a system of particles is the sum of the individual momenta of each particle.

 

Lecture content

 

Linear momentum: G = ∑mivi

 

Linear impulse: I = ∫∑F dt

 

The impulse of all the resultant forces acting on the system of particles is equal to a system's change in linear momentum.

 

∫∑Fdt = ∑mi,2vi,2 - ∑mi,1vi,1

 

Conservation of linear impulse-momentum principle for a system of particles

 

If the resultant force on a system of particles is zero during an interval of time, linear momentum must remain constant.

 

mi,2vi,2 - ∑mi,1vi,1 = 0