Linear Impulse-Momentum Principle

 

 

Linear momentum: G = mv

 

Linear impulse: I = ∫∑F dt

 

The resultant of all forces acting on a particle equals the time rate of change of linear momentum.

 

Newton's 2nd law: ∑F = ma = mdv/dt = d(mv)/dt = dG/dt

 

Principle of linear impulse and momentum

 

 

The impulse of all the resultant forces acting on a particle is equivalent to a particle's change in linear momentum.

 

∑F = dG/dt

 

∫∑Fdt = ∫(dG/dt)dt

 

Impulse-momentum principle: ∫∑Fdt = ΔG