## Action, energy, entropy

Among of the most truly singular developments of classical mechanics are Lagrangian and Hamiltonian mechanics. This observation has been made many times by folks much more well known than yours truly, and so my humble voice is but a whisper in a chorus of lions, as it were. Still, the observation is true. Up to the formulation of Lagrangian and Hamiltonian mechanics, the equations of physics were presented as differential equations. This implies that the motion of a particle is given as a highly local interaction of forces acting instantaneously. The trajectory of a particle is solved...

Read More## Work and Energy

Another central concept in classical mechanics is that of work. The physical expression for work is the product of force through distance, with the understanding that it is the force that is parallel to the direction of motion that is relevant to the calculation. The concept of work is bound together with that of energy, from the Greek ἐνέργεια meaning an activity or operation. In physics, energy is a capacity to do work, and the measure and units of work and energy are the same. It is perhaps worth considering the units of work and energy at this point. They are on the basis that force is...

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