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Byju's Answer
Standard XII
Physics
Center of Mass as an Average Point
Find the posi...
Question
Find the position of centre of mass of the uniform planner sheet shown in figure with respect to the origin.
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Solution
Let us consider a contractile mass
m
of square
O
A
C
E
of center at point
P
And a negative mass
(
−
m
4
)
of
B
C
D
P
of center at
N
(
39
2
,
39
2
)
Now center of mass of
O
A
B
P
D
E
O
is
(
x
,
y
)
x
=
m
a
−
m
4
×
39
2
m
−
m
4
=
5
m
a
8
3
m
4
=
5
6
a
y
=
5
6
a
(
x
,
y
)
=
(
5
6
a
,
5
6
a
)
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