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For example, in 1742, Émilie du Châtelet wrote, "Dead force consists of a simple tendency to motion: such is that of a spring ready to relax; living force is that which a body has when it is in actual motion." In modern terminology, "dead force" and "living force" correspond to potential energy and kinetic energy respectively. [136]
F 2. gravitational force by object on earth (upward) F 3. force by support on object (upward) F 4. force by object on support (downward) Forces F 1 and F 2 are equal, due to Newton's third law; the same is true for forces F 3 and F 4. Forces F 1 and F 3 are equal if and only if the object is in equilibrium, and no other forces are applied ...
2: By its intrinsic force (alone) every body would progress uniformly in a straight line to infinity unless something external hinders that. (Newton's later first law of motion is to similar effect, Law 1 in the Principia.) 3: Forces combine by a parallelogram rule. Newton treats them in effect as we now treat vectors.
In such a situation, a force is applied in the direction of motion while the kinetic friction force exactly opposes the applied force. This results in zero net force, but since the object started with a non-zero velocity, it continues to move with a non-zero velocity. Aristotle misinterpreted this motion as being caused by the applied force.
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
In physics, a number of noted theories of the motion of objects have developed. Among the best known are: Classical mechanics. Newton's laws of motion; Euler's laws of motion; Cauchy's equations of motion; Kepler's laws of planetary motion ; General relativity; Special relativity; Quantum mechanics
A single force acting at any point O′ of a rigid body can be replaced by an equal and parallel force F acting at any given point O and a couple with forces parallel to F whose moment is M = Fd, d being the separation of O and O′. Conversely, a couple and a force in the plane of the couple can be replaced by a single force, appropriately ...
The fictitious force that has been called an inertial force [7] [8] [9] is also referred to as a d'Alembert force, [10] [11] or sometimes as a pseudo force. [12] D'Alembert's principle is just another way of formulating Newton's second law of motion.
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