I'd just like to check my understanding of the branches of mechanics. I suspect dynamics is not just concerned with accelerating systems. Doesn't dynamics just generally deal with systems in motion? Those systems can either be accelerating or in dynamic equilibrium (constant velocity), right? Or am I thinking of kinematics?
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"Dynamics" comes from the Ancient Greek δύναμις which meant power, ability. Dynamics deals with forces, the power behind forces, and their effects on motion.
The basis of dynamics is Newton's second law of motion, which deals with acceleration. Since the initiation of motion and changes in motion always involve acceleration, you generally will find that acceleration is a part of most issues covered by dynamics.
Kinematics deals with motion alone rather than with the forces that cause motion.
Ernie
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