A) may move but not accelerate
B) may accelerate
C) must not move
D) None of die above
Correct Answer: A
Solution :
According to the equation of motion of the centre of mass \[M{{\vec{a}}_{CM}}={{\vec{F}}_{ext}}\] If \[{{\vec{F}}_{ext}}=0,{{\vec{a}}_{CM}}=0\] \[\therefore \] \[{{\vec{v}}_{CM}}=\text{constant}\] ie, 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.
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