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  4. If the external forces acting on a system have zero resultant, the center of mass

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Q. If the external forces acting on a system have zero resultant, the center of mass

NTA AbhyasNTA Abhyas 2020

Solution:

According to the equation of motion of the centre of mass
$M \, a_{C M}=F_{e x t}$
If $F_{e x t}=0, \, a_{C M}=0$
$\therefore $ $v_{C M}=constant$
$i.e.$ , if no external force acts on a system the velocity of its centre of mass remains constant. Thus, the centre of mass may move but not accelerate.