A question about Centre of Gravity

In summary, the conversation discusses finding the distance between the center of gravity of a uniform disc before and after it is cut into a smaller disc. The method for finding the center of gravity of the smaller disc is suggested using a mathematical trick of adding and subtracting discs.
  • #1
clevermartin
3
0

Homework Statement


A uniform disc A of radius 2m is cut as shown in the figure. The cut out is also a disc of radius 1m. O is the centre of gravity of disc A before cutting and O' is its centre of gravity after cutting. Find the distance between O and O'


Homework Equations





The Attempt at a Solution


I know how to find the CG of disc A and the CG of the new disc respectively..
But i don't know how to find out the CG of the newly cut disc A...
I don't know what approach should I use in this question

Can anyone help me please?
 

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  • #2
can someone help me please?
 
  • #3
clevermartin said:
can someone help me please?

Without viewing your attachment nobody can help you.
 
  • #4
clevermartin said:
can someone help me please?

First question: How do you find the center of gravity of an object?
 
  • #5
clevermartin said:
I know how to find the CG of disc A and the CG of the new disc respectively..
But i don't know how to find out the CG of the newly cut disc A...
I don't know what approach should I use in this question
I assume you can find the center of mass of two overlapping solid discs. Hint: What kind of disc would you have to add to disc A to get a hole of the right size and placement? Hint2: A + -B = A - B (It's a mathematical trick!)
 
  • #6
Doc Al said:
I assume you can find the center of mass of two overlapping solid discs. Hint: What kind of disc would you have to add to disc A to get a hole of the right size and placement? Hint2: A + -B = A - B (It's a mathematical trick!)

I know how to do it now~ Thanks a lot
 

FAQ: A question about Centre of Gravity

1. What is the Centre of Gravity?

The Centre of Gravity (COG) is the point at which an object's weight is evenly distributed in all directions, causing it to remain in a state of equilibrium.

2. How is the Centre of Gravity determined?

The Centre of Gravity can be determined by finding the point at which the weight of an object can be considered to act, taking into account the distribution of weight and the forces acting upon it.

3. Why is the Centre of Gravity important?

The Centre of Gravity is important because it helps determine the stability and balance of an object. It is also crucial in understanding the motion and behavior of objects in various situations.

4. How does the Centre of Gravity affect objects?

The position of the Centre of Gravity affects how an object behaves when subjected to external forces. If the COG is high, the object will be less stable and more prone to tipping over, while a low COG provides more stability.

5. Can the Centre of Gravity be changed?

Yes, the Centre of Gravity can be changed by altering the distribution of weight in an object. This can be done by adding or removing weight from different areas, or by changing the shape or position of the object.

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