While studying Newtonian mechanics, we are concerned with only three laws of motion that describes force and it's relations. But when we switch to rotational dynamics, we are presented with torque and moment of inertia as being the rotational analogue of force and mass. With no laws other than Newton's laws describing motion of this type. How, did we actually arrived at the idea of torque and moment of inertia from force and other related concepts?
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$\begingroup$ Related: Rigid body dynamics derivation from Newton's laws for higher dimensions. (In that question, "higher dimensions" means "more than one dimension.") The answers at least partly explain how the concepts of torque and moment of inertia arise from more-familiar concepts. $\endgroup$– Chiral AnomalyCommented Aug 25, 2019 at 12:46
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$\begingroup$ Look here $\endgroup$– BioPhysicistCommented Aug 25, 2019 at 12:50
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2$\begingroup$ Possible duplicate of Rigid body dynamics derivation from Newton's laws for higher dimensions $\endgroup$– BioPhysicistCommented Aug 25, 2019 at 12:51
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$\begingroup$ If you are interested in the historical context, History of Science and Mathematics might be a more suitable location to ask. $\endgroup$– Kyle KanosCommented Aug 27, 2019 at 11:56
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