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jishitha
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What is moment of mass of system of particles? And how it relates centre of mass...?
The centre of mass is a point in an object or system where the entire mass can be concentrated. It is the point at which the object is perfectly balanced, and all the external forces acting on it can be thought of as acting through this point.
The centre of mass and centre of gravity are often used interchangeably, but there is a slight difference. The centre of mass is the point where the entire mass of an object is concentrated, while the centre of gravity is the point where the entire weight of an object is concentrated. This distinction only becomes significant in cases where the gravitational field is not uniform.
The location of the centre of mass depends on the distribution of mass within an object or system. It can be affected by the shape, size, and density of the object, as well as any external forces acting on it. For example, changing the shape of an object can shift its centre of mass.
The moment of mass is a measure of the rotational force of an object or system. It is calculated by multiplying the mass of the object by its distance from a specified axis of rotation. The unit of measurement for moment of mass is kilogram-meters squared (kg*m^2).
The centre of mass and moment of mass are important concepts in fields such as physics, engineering, and biomechanics. They are used to analyze the stability and balance of objects and systems, and to design structures that can withstand external forces. In sports, understanding the centre of mass and moment of mass is crucial for optimizing performance and preventing injury.