Question

There are two rods each of length L. They are arranged like in the figure. Calculate centre of mass of system.

Answer 1

Hi Vikt. Firstly remember that Integral is an additive operation \[\int\limits m*r*dr = \int\limits_{rod1} mr*dr +\int\limits_{rod2} mr*dr\]

Answer 2

ok

Answer 3

So you can compute CM for each rod separately and then use Vector addition and average

Answer 4

so L/2 is Cm for each of them