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amjadmuhd
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Please help me in derivation of the cetre of mass of truncated sphere
Centre of mass of truncated sphere
- Thread starter amjadmuhd
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In summary, the centre of mass of a truncated sphere is the average position of all the mass in the object and can be calculated by finding the average position of all the mass in the object. The centre of mass does not change if the object is tilted or rotated and is important in physics for determining balance and calculating motion. The location of the centre of mass also affects the stability of a truncated sphere.
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tiny-tim
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amjadmuhd said:
Hint: divide the truncated sphere into discs of height dz … what is the mass of each disc?
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arildno
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He has already been given the answer to this question in a previous thread
https://www.physicsforums.com/showthread.php?t=305272
https://www.physicsforums.com/showthread.php?t=305272
Related to Centre of mass of truncated sphere
1. What is the centre of mass of a truncated sphere?
The centre of mass of a truncated sphere is the point at which the entire mass of the object can be considered to be concentrated. It is the average position of all the mass in the object and is often referred to as the balance point.
2. How is the centre of mass of a truncated sphere calculated?
The centre of mass of a truncated sphere can be calculated by finding the average position of all the mass in the object. This can be done by dividing the total mass of the object by the total volume and finding the coordinates of the resulting point.
3. Does the centre of mass of a truncated sphere change if the object is tilted or rotated?
No, the centre of mass of a truncated sphere does not change if the object is tilted or rotated. This is because the centre of mass is a fixed point that only depends on the distribution of mass within the object, not its orientation.
4. Why is the centre of mass important in physics?
The centre of mass is important in physics because it is the point where the object's weight is evenly distributed, making it the point where the object can be balanced. It is also used to calculate the object's motion and stability.
5. How does the centre of mass affect the stability of a truncated sphere?
The centre of mass plays a crucial role in determining the stability of a truncated sphere. If the centre of mass is located within the base of the object, it will be stable. However, if the centre of mass is outside the base, the object will be unstable and may topple over.
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