# Does the center of mass of a body always lie inside the body?

In general centre of mass lie within the body but it may lie outside the system as its the hypothetical point where the entire mass of system is assumed to be concentrated during translational motion.Few examples where the centre of mass lies outside the system are as follows

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The position of the center of the mass depends upon the shape and size of the body and the distribution of its mass. Hence, it may lie inside or outside the material of the body.

i don't  want this type of answer since i am preparing for iit and so i need a deep explanation of a case where the centre of mass of body lies outside its mass distribution

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Yes it can be outside the body. Think of a flat 'V' shaped piece of metal, for example. The centre of mass will be somewhere along the centre line (i.e. somewhere along the line running from the point of the 'V' to the mid-point between the ends of the two arms). You can see straightaway that this centre of mass is outside the body.