What is the center of gravity for different shapes in blanking calculations?

In summary, the centre of gravity is the point of balance for an object where its weight is concentrated. For a line, the centre of gravity is determined by finding the midpoint where the weight is evenly distributed on both sides. Factors such as length and weight distribution affect the centre of gravity. It is important in physics as it determines an object's stability and balance. In some cases, the centre of gravity for an object may be located outside of its physical boundaries.
  • #1
vin300
603
4
what is the centre of gravity of an arc(as opposed to sector) and that of the periphery of triangle(not the area of the triangle)? I'm supposed to use it for calculating blank diameter before drawing and for calculating centre of pressure during blanking.
 
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  • #2
You can evaluate those shapes with the usual integral for the center of gravity (should be easy to find in any textbook, wikipedia or other web pages). For the triangle, it is easier: Calculate the position for each side, and calculate the weighted average (with mass as weight) of them afterwards.
 

1. What is the definition of centre of gravity?

The centre of gravity is the point at which the weight of an object can be considered to be concentrated and acts as the single point of balance for the object.

2. How is the centre of gravity of a line determined?

The centre of gravity of a line can be determined by finding the midpoint of the line. This is the point where the weight of the line is evenly distributed on both sides, making it the centre of gravity.

3. What factors affect the centre of gravity of a line?

The length and weight distribution of the line are the main factors that affect the centre of gravity. The longer the line, the more it will shift towards the middle, and the heavier the line, the more it will shift towards the heavier end.

4. Why is the centre of gravity important in physics?

The centre of gravity is important in physics because it helps determine the stability and balance of an object. The lower the centre of gravity, the more stable the object is, and the higher the centre of gravity, the more prone it is to tipping over.

5. Can the centre of gravity of a line be outside of the object?

Yes, the centre of gravity can be outside of the object if the object is irregularly shaped or has a non-uniform weight distribution. In this case, the centre of gravity may be located at a point outside of the physical boundaries of the object.

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