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Hace 3 días · His pioneering book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, consolidated many previous results and established classical mechanics.
Hace 4 días · Isaac Newton computed in his Philosophiæ Naturalis Principia Mathematica the acceleration of a planet moving according to Kepler's first and second laws. The direction of the acceleration is towards the Sun.
Hace 5 días · His main work was the Philosophiæ Naturalis Principia Mathematica, which he published in 1687. This work consisted of three books. He lived up until 84 years of age and never married. His father died 3 months before his birth.
Hace 1 día · Nicolaus Copernicus [b] (19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated a model of the universe that placed the Sun rather than Earth at its center.
Hace 3 días · Euler--Lagrange Equations. Lagrangian mechanics is a reformulation of classical mechanics that expresses the equations of motion in terms of a scalar quantity, called the Lagrangian (that has units of energy).
Hace 3 días · Pendulum Equations. A simple pendulum consists of a single point of mass m (bob) attached to a rod (or wire) of length ℓ ℓ and of negligible weight. We denote by θ the angle measured between the rod and the vertical axis, which is assumed to be positive in counterclockwise direction.
Hace 3 días · Simple Pendulum. The motion of the pendulum is, evidently, completely characterized by the variable θ, measured in counterclockwise direction as positive. We call θ the generalized coordinate for this system. It arises because the motion is constrained by x2 +y2 =ℓ2. x 2 + y 2 = ℓ 2.
