Centre of mass is independent on das of the reference chosen to locate it
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(A) The position of centre of mass of a system is dependent on the choice of co-ordinate system.
(B) Newton's second law of motion is applicable to the centre of mass of the system.
(C) When no external force acts on a body, the acceleration of centre of mass is zero.
(D) Internal forces can change the state of centre of mass.
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Acceleration of center of mass occurs due to external forces acting on the body only.
Thus a
cm
=
m
F
ext
Hence statements B and C are correct and statement D is wrong.
Also the position of center of mass is determined by the mass distribution in the body, hence being independent of coordinate system.
Hence correct answer is option D.
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