The concept of the center of mass was used by Archimedes more than 2,400 years ago.¹ Much later Euler introduced another mass-related concept, that of the moment of inertia (see section A.9), which in turn suggested some very nice solutions of mathematical problems [BB]. Here I solve several other mathematical problems using the center of mass.

Recall that the center of mass of a body is the body’s point of balance; the body suspended on that point is in equilibrium in any orientation. Full details can be found in the appendix (section A.8).

As an interesting aside, we take it

EP - 98 PB - Princeton University Press PY - 2009 SN - 9780691154565 SP - 84 T1 - PROOFS AND SOLUTIONS T2 - The Mathematical Mechanic T3 - Using Physical Reasoning to Solve Problems UR - http://www.jstor.org/stable/j.ctt7rjgk.7 Y2 - 2021/05/13/ ER -