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9.6 Exercise 13

Avg difficulty 2.5

Find the center of mass of a rectangular material of length a and width b made up of a material of nonuniform density. The density is such that when the rectangle is placed in the xy-plane, the density is given by ρ(x,y)=ρ0xy\rho \left(x , y\right) = \rho_{0} x y.

OpenStax University Physics Volume 1, 9.6 Center of Mass, exercise 13

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.