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What is the need of centre of mass?


Newton’s second law of motion is strictly applicable to point masses only. To apply the Newton's law of motion to rigid bodies, the concept of centre of mass is introduced.

The concept of centre of mass of a system enables us to discuss overall motion of the system by replacing the system by an equivalent single point object. 
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Is it necessary for centre of mass to lie within the body?

Is it necessary that there should be matter at the centre of mass of system?

What is the significance of defining the center of mass of a system?

A body at rest explodes in three fragments. What is the velocity of the centre of mass of exploded part?

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