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
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
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Transcribed Image Text: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 < N.
(a)
Show that the center of mass of the entire system AB in the x
XCOM,AMA + XCOM,B™B
mẠ + mg
direction can be obtained as xCM,AB =
where
XCOM.A and XCOM.B Stand for the x component of the center of mass of
part A and B, respectively; m, and mg stand for the total mass of the
particles in part A and B, respectively.
(b)
has its center at the origin and the length of its edge is 2a. A circle
centered 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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