Newton's Second Law

up:: 031 MOC Classical Mechanics

Newton’s second law says that, under any Inertial Frame of Reference, a particle’s movement is governed by the equation

$$\sum _i\overrightarrow{F_i}=m\frac{d^2\vec{x}}{d{t}^2}$$

where $\sum _i\overrightarrow{F_i}$ is the total sum of forces acting upon this particle.

This pressuposes that all particles have the same mass on all inertial frames of reference. Under this hypothesis, this is the same to

$$\sum _i\overrightarrow{F_i}=\frac{d\vec{p}}{dt}$$

which $\vec{p}$ the Classical Linear Momentum.

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References

• LEMOS, Nivaldo A. Mecânica analítica. Editora Livraria da Física, 2007.