A) a circle of radius \[\left( \frac{Ma}{m} \right)\]
B) a circle of radius \[\left( \frac{ma}{M+m} \right)\]
C) a circle of radius \[\left( \frac{ma}{M} \right)\]
D) a straight line
Correct Answer: B
Solution :
[b] The initial position of the centre of mass of the system (ring + insect) is supposed at a distance x from the centre of the ring. Then \[x=\frac{ma}{M+m}.\] Now, net external force on the system is zero. Hence, the centre of mass will remain stationary. Hence, the centre of the ring will move in a circle of radius \[-\frac{ma}{M+m}\] and the insect will move in a circle of radius \[\frac{Ma}{M+m}\]
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