Answer to Question #80425 in Mechanics | Relativity for Nitesh kumar

Question

What is centre of mass?

Answer 1

The center of mass is the unique point at the center of a distribution of mass in space that has the property that the weighted position vectors relative to this point sum to zero. In analogy to statistics, the center of mass is the mean location of a distribution of mass in space. In the case of a system of particles Pi, i = 1, …, n , each with mass mi that are located in space with coordinates ri, i = 1, …, n , the coordinates R of the center of mass satisfy the condition. ∑_(i=1)^n▒m_i ((r_i ) ⃗-R ⃗ )=0.