1.Consider the system shown on the right that contains altogetherN particles. Part A contains particles 1, 2, ... j, while part B containsparticles j + 1, j+ 2, ... N, where 1 < j < N.(a)Show that the center of mass of the entire system AB in the xXCOM,AMA + XCOM,B™BmẠ + mgdirection can be obtained as xCM,AB =whereXCOM.A and XCOM.B Stand for the x component of the center of mass ofpart A and B, respectively; m, and mg stand for the total mass of theparticles in part A and B, respectively.(b)has its center at the origin and the length of its edge is 2a. A circlecentered at (a /2, 0) with a diameter of a is cut out of the square.Determine XCOM Oof the remaining part of the plate (colored in gray).Čonsider a uniform square plate shown on the right, which(c)Determine YCOM of the part described in (b).

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Answered: 1. Consider the system shown on the…

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1. Consider the system shown on the right that contains altogether N particles. Part A contains particles 1, 2, ... j, while part B contains particles j + 1, j+ 2, ... N, where 1 < j