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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.
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What does center of mass define?
The center of mass represents a point in a system or object where its mass can be considered to be concentrated, and behaves as if all external forces are acting at that point. It helps in analyzing the motion of the system as a whole, disregarding internal complexities of individual parts.
How can one determine the velocity of the center of mass of a system of particles?
To determine the velocity of the center of mass of a system of particles, you can use the formula: velocity of center of mass (total momentum of the system) / (total mass of the system). This formula takes into account the individual velocities and masses of all the particles in the system.
What is the definition of the center of mass in physics and how does it relate to the overall motion of a system?
The center of mass in physics is the point where the mass of an object or system is concentrated. It is the average position of all the mass in the system. The center of mass plays a crucial role in determining the overall motion of a system because it moves as if all the mass of the system were concentrated at that point. This simplifies the analysis of the system's motion, making it easier to predict how the system will move or behave.
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)
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.
Do galaxies orbit an object?
Galaxies form groups called galaxy clusters, so they would orbit the center of mass of the galaxy clusters, just as our Solar System orbits the center of mass of our galaxy.Galaxies form groups called galaxy clusters, so they would orbit the center of mass of the galaxy clusters, just as our Solar System orbits the center of mass of our galaxy.Galaxies form groups called galaxy clusters, so they would orbit the center of mass of the galaxy clusters, just as our Solar System orbits the center of mass of our galaxy.Galaxies form groups called galaxy clusters, so they would orbit the center of mass of the galaxy clusters, just as our Solar System orbits the center of mass of our galaxy.
Does a solar system orbit a star in the center and the star?
The rest of the solar system orbits a star (the Sun) which stays at the centre. To be precise, the whole solar system revolves around its center of mass. The Sun has about 99.85% of the entire mass of the solar system. So, its not surprising that the center of mass of the solar system is close to the surface of the Sun and that the Sun more or less stays at the center.
When is the earth in the center of the solar system?
Never. The center of the Solar System is basically the Sun. Actually, the Solar System's center of mass is outside the Sun, but very near to it.
How the sun was formed at the center of the Solar System?
Well the Sun has the most mass in the entire solar system, so it would naturally be found in the center, with objects of lesser mass orbiting it.
Define laws of conservtion of mass?
The law of conservation of mass, or principle of mass conservation, states that for any system closed to all transfers of matter and energy (both of which have mass), the mass of the system must remain constant over time, as system mass cannot change quantity if it is not added or removed.
In the solar system where sun is present?
The Sun is near the center of the Solar System. Basically, planets, etc. move around the center of mass of the Solar System, which is near the Sun - but not exactly so, because the planets (especially Jupiter) also have some mass.
When two objects of unequal mass orbit each other where is the center of mass?
The center of mass is closer to the more massive object. It is the point at which the two objects orbit each other as if they were one system. The location of the center of mass is influenced by the masses and distances of the objects.
