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In physics, the center of mass of a system of particles is a specific point at which, for many purposes, the system's mass behaves as if it were concentrated. The center of mass is a function only of the positions and masses of the particles that comprise the system. In the case of a rigid body, the position of its center of mass is fixed in relation to the object (but not necessarily in contact with it). In the case of a loose distribution of masses in free space, such as, say, shot from a shotgun, the position of the center of mass is a point in space among them that may not correspond to the position of any individual mass. In the context of an entirely uniform gravitational field, the center of mass is often called the center of gravity - the point where gravity can be said to act. Center of gravity is the sum (or the integral) of the moments of force from the weight of an object divided by the total weight. COG = [w1*r1 + w2*r2 + w3*r3 + ... + wnrn ] / Σwi (i = 1 to n).
COM = [m1*r1 + m2*r2 + m3*r3 + ... + mnrn ] / Σmi (i = 1 to n). In a uniform gravitational field (which is what you usually have), mass is proportional to weight everywhere, so the center of gravity and the center of mass are the same point.
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Where is center of mass of a sphere?
The center of mass of a sphere is its geometric center.
What is the center of mass of an equilateral triangle?
Center of mass of an equilateral triangle is located at its geometric center (centroid).
How do you calculate center of mass of a solid?
Center of mass is defined as the point about which the sum of mass moment vectors of all the points of the body is equal to zero. Center of mass = [(mass of a point object)*(distance of that point from origin)]/(Total mass) For a rigid body we need to integrate this expression.
Which center of a triangle is also the center of mass?
The centroid - where the medians meet.
How do you find the center of rotation?
you can find center of earth by using only the formulas
Why is the center of mass of a baseball bat not at its midpoint?
The center of mass of a baseball bat is not necessarily at its midpoint because the bat is not uniformly dense. The shape and distribution of the material in the bat can cause the center of mass to be offset from its geometric center.
Where is center of mass of a sphere?
The center of mass of a sphere is its geometric center.
Where is the center of mass of a ball?
The center of mass of a soccer ball is its geometric center.
What is the relationship between center of mass and mass distribution?
The center of mass is the point where an object's mass is considered to be concentrated. The mass distribution refers to how the mass is distributed within the object. The position of the center of mass depends on the mass distribution of the object.
How heavy is the black hole at the center of your galaxy?
A black hole has a typical mass of around 4 times the mass of the sun at the time of formation. Mass has very little meaning for a blackhole otherwise.
Can the center of mass of a body lie where there is no mass absolutely and give an example.?
No, the center of mass of a body cannot lie where there is no mass. The center of mass is a point that represents the average position of all the mass in a system. In the absence of mass, there is no center of mass.
How do you maintain center of mass when mass is added?
The simplest answer is to add the mass at the center of mass. In that case, the total mass will increase, but not the center of mass. If the additional mass is not added at the center of mass, then it must be balanced with more mass at a location on the object that depends upon the object's shape. That's where things get complicated.
What is the distance from the center of earth to its center of mass?
The geometric center and the center of mass of the Earth are essentially the same point.
What is the center of the mass of an object?
The center of mass of an object is the point at which its mass can be considered to be concentrated. It is the average position of all the mass in the object. It is the point around which the object will balance in any orientation.
What is the main difference between center of mass and center of gravity?
The main difference is that center of mass refers to the average location of mass distribution in an object, while center of gravity refers to the point where the force of gravity can be considered to act on an object. In a uniform gravitational field, the center of mass and center of gravity coincide.
Can centre of mass of a body can exist at point where there is no mass of the object?
No, the center of mass of a body is a point where the entire mass of the body can be considered to be concentrated. If there is no mass at a point, the center of mass cannot exist at that point.
Is it necessary to have matter at the center of mass?
No, it is not necessary to have matter at the center of mass. The center of mass is a point in an object or system where its mass can be considered concentrated for certain calculations. The distribution of mass around the center of mass affects the stability and balance of the object or system.
