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25 Nov 2021
Given information
When the circular hole is cut from the circular plate, the total moment of the plate is equal to the moment of the white portion and the orange portion.
is the radius of the total circle.
distance between centres of both the circles=
Thus, the mass of the plate
And the mass of the removed portion of the plate
Step-by-step explanation
Step 1.
Let 
be the thickness of the plate and the density be 
.
Then, the mass of the plate
And the mass of the removed portion of the plate
The goal of this problem is to find the location of the centre of mass of a uniform circular plate under the specified parameters.
Centre of mass of the remaining plate after removing the smaller plate can be obtained as
where
and, 
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14a
- Problem 14b
- Problem 15
- Problem 16a
- Problem 16b
- Problem 17a
- Problem 17b
- Problem 18
- Problem 19a
- Problem 19b
- Problem 19c
- Problem 20
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 21d
- Problem 22
- Problem 23a
- Problem 23b
- Problem 24a
- Problem 24b
- Problem 24c
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29a
- Problem 29b
- Problem 30
- Problem 31a
- Problem 31b
- Problem 32a
- Problem 32b
- Problem 32c
- Problem 32d
- Problem 33
- Problem 34a
- Problem 34b
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 42
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 45
- Problem 46
- Problem 47a
- Problem 47b
- Problem 47c
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61a
- Problem 61b
- Problem 62
- Problem 63a
- Problem 63b
- Problem 63c
- Problem 64a
- Problem 64b
- Problem 65
- Problem 66