The density of a linear rod of length L varies as ρ = A+Bx where x is the distance from the left end. Locate the centre of mass.© BrainMass Inc. brainmass.com February 24, 2021, 2:05 pm ad1c9bdddf
Let us take the cross sectional area of the rod as α. Now we will determine the mass of a small element of length dx distant x from the left end.
It is given that the density varies as A+Bx , thus the mass of this small element would be (A+Bx) α dx (density X vol gives the mass, ...
Step by step explanations to this tricky problem. A center of mass of a rod with varying densities are determined.