Newton's second law of montion

Newton's second law of motion is a second-order differential equation hat establishes the relationship between an object's mass its acceleration and the applied force.

• AKA: Newton's Second Law.
• Context:
  • It can be generally defined as

[math]\displaystyle{ m\;\frac{d^2y}{dt^2}=F(y,y, \frac{dy}{dt}) }[/math]

where [math]\displaystyle{ m }[/math], [math]\displaystyle{ \frac{dy}{dt}=v(t) }[/math] and [math]\displaystyle{ \frac{d^2y}{dt^2}=a(t) }[/math] are the object's mass, velocity and acelaration, repectively, and [math]\displaystyle{ F }[/math] is the applied Force

• Example(s):
  • Harmonic Oscillator.
• Counter-Example(s):
  • Newton's First Law.
  • Newton's Third Law.
• See: Newton's laws of motion.

---

---

References

2015

• (Wikipedia, 2015) ⇒http://wikipedia.org/wiki/Newton%27s_laws_of_motion

---