Centre of Mass

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Hey,

There is a question in my textbook that I dont understand the answer too. THey show a diagram of a baseball bat and say if the baseball bad it cut at the location of its center of mass, do the two pieces have the same mass? They say no, the piece with the handle will have less mass than the piece of the other end.

I really dont understand why. I think Im missing out on an important concept of centre of mass. If someone could explain the reasoning behind this answer Id really appreciate it!
 
Think about it , does the c.m location of an object is such that it always divides the object into two equal masses? . C.M depends on distribution of masses at different distances from a reference point. So the c.m would be placed nearer to greater mass distribution in a confined area.

BJ
 

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