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Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
Applications of Integration 15-51
In the previous case, we assumed the particles to be situated on the x axis. Now assume that the
particles are located at the points in space ( , ), ( , ), , ( , )
x y x y x y
n n1 1 2 2
with masses
m m m
n1 2
, , , ,
respectively, on the xy plane. Then the moments of masses w.r.t y axis is
M m x
y i i
i
n
=
=1
.
And the moments of masses w.r.t x axis is
M m y
x i i
i
n
=
=1
.
And the coordinates of centre of mass are given as
( , ) , ,x y
M
M
M
M
y
x
=
where
M m
i
i
n
=
=1
is the total mass of the system.
In this section, our main aim is to find the centre of mass of a thin plate with uniform density r.
Let the plate ...
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Publisher Resources

ISBN: 9789353948221