(Journal Article) Fábio M. S. Lima creator text Washington , DC American Association of Physics Teachers May 2023 monographic eng

print

380–384 p. Abstract- A common belief among undergraduates is that the gravitational force exerted by a homogeneous sphere of mass M on an extended body of mass m with arbitrary shape is always given by Newton’s law of gravity F = GMm/rcc2, where rcc is the distance from the center of the sphere to the center of mass (c.m.) of the body. In this note, I introduce the simplest counterexample of a vertical dumbbell to show that, in general, this procedure does not return the correct gravitational force. I also show that not even the center of gravity (c.g.) of the body, determined according to the weighted-average formulae found in textbooks, leads to the correct force. Finally, I present an equation for the c.g. position whose solution always corresponds to the correct force. ***______{For Hard Copy, Please visit Library.}________*** Newtonian mechanics Gravitational force Textbooks 530.071 0031-921X RIEBPL Library https://doi.org/10.1119/5.0060495 https://doi.org/10.1119/5.0060495 231106 20231109111637.0