Understanding Center of Mass: Exploring Its Location and Impact on Objects

In summary, the center of mass of an object can lie outside the surface of the object if the object is not spherically symmetric and has a complicated form. It can also lie at the geometrical center of multiple objects. The location of the center of mass can differ depending on the shape of the object. For example, a donut's center of mass is not located within the object itself. The center of mass is not necessarily one of the numbers used to calculate it.
  • #1
pras_quantum
15
0
can some one explain me why,center of mass of an object can lie outside the surface of the object also?
 
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  • #2
Why don't you explain why you think it cannot?
 
  • #3
actually i want to know when will it lie inside or outside the objects..so please explain.
 
  • #4
pras_quantum said:
can some one explain me why,center of mass of an object can lie outside the surface of the object also?

If the body is not so spherically symmetric, for example, two equal balls touching, then the center of inertia is between them (at the touching point). If there are three balls, the center of inertia will be at the geometrical center of this figure. So it is possible if the body is not spherically symmetric but has a complicated form.
 
  • #5
pras_quantum said:
actually i want to know when will it lie inside or outside the objects..so please explain.
Consider a donut (with a hole in the middle). Where is its center of mass?
 
  • #6
thank you people for helping me...
 
  • #7
Just another comment:

If you take the average of 10 (or some other quantity) numbers, pras_quant, must the average of those numbers be one of those numbers?
 

1. What is the center of mass?

The center of mass is a point within an object or system where the entire mass of the object or system can be considered to be concentrated. It is the average position of all the individual particles that make up the object.

2. How is the center of mass calculated?

The center of mass can be calculated by taking the sum of the mass of all the individual particles in the object, multiplied by their respective distances from a chosen reference point, and then dividing by the total mass of the object.

3. What factors affect the location of an object's center of mass?

The location of an object's center of mass is affected by the distribution of mass within the object. Objects with more evenly distributed mass will have a center of mass closer to the geometric center, while objects with uneven mass distribution will have a center of mass closer to the heavier side.

4. How does the center of mass impact an object's stability?

The stability of an object is directly affected by its center of mass. If an object's center of mass is above its base of support, it will be more stable and less likely to tip over. However, if the center of mass is outside of the base of support, the object will be less stable and more likely to topple.

5. Can the center of mass be outside of an object?

Yes, the center of mass can be outside of an object. This can occur if an object has an irregular shape or if it is suspended in the air. In these cases, the center of mass will still follow the same principles of being the average position of all the mass, but it may not be located within the physical boundaries of the object.

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