First slide

Motion of centre of mass

Question

Consider the following two statements.
A) Linear momentum of the system remains constant.
B) Centre of mass of the system remains at rest.

Easy

A

A implies B and B implies A
B

A does not imply B and B does not imply A
C

A implies B but B does not imply A
D

B implies A but A does not imply B

Solution

When Linear momentum of a system is constant , its magnitude may be zero or non - zero . So if centre of mass of a system is at rest , its linear momentum is zero which is a constant.
Hence option - (4) is right.

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