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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?
Wood is an anisotropic material, meaning some parts of it are heavier than others. Wooden baseball bats thus have an uneven distribution of mass along the axis, which moves the center of mass away from the midpoint.
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 main difference between center of mass and center of gravity?
Since gravity is produced by mass, the center of mass is also the center of gravity. The only difference between these two concepts is that mass is a more basic quantity, so the center of mass would also be the center of inertia, as well as the center of gravity. In practice, these terms can be used interchangeably.
Can centre of mass of a body can exist at point where there is no mass of the object?
Yes. For example, the center of mass of a hollow sphere would be at the empty center of that sphere.
What is the center of mass of an equilateral triangle?
Center of mass of an equilateral triangle is located at its geometric center (centroid).
Is it necessary to have matter at the center of mass?
No, many objects have no mass (at least no mass that is part of the body concerned) at their centre of mass. Not ,necessarily. Center of mass is an imaginary point.(at least no mass that is part of the body concerned)
