Why center of mass constant is zero? (1) P → ′ = ∑ ( m i v → i ′ ) = ∑ [ m i ( v → i − u → ) ] = P → − M u → = 0

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Why center of mass constant is zero?                    (1)                                                        P              →                                ′                =        ∑        (                  m          i                                                    v              →                                i          ′                )        =        ∑                              [                                    m          i                (                                            v              →                                i                −                              u            →                          )                              ]                          =                              P            →                          −        M                              u            →                          =        0

Angel Burton · Accepted Answer

You write                     R        →                    C      M      , but think about what is actually meant by this?A frame of reference has no specific position. Its positional vector can be arbitrary because different frames of reference vary in velocity or acceleration. Therefore, if you take                     R        →                    C      M       as a position of the CM, you have the freedom of             C      →      .            C      →       can be chosen   =            0      →      , so that                     R        →                    C      M       is equal to the centre of mass of the set of point masses, which is nothing more than a convenient choice.

Why center of mass constant is zero?

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