Cut at center of mass

A baseball bat is not uniformly shaped, which is why its center of mass is not at the midpoint between its two ends.

Suppose we cut a baseball bat (perpendicular to its axis) into two pieces through its center of mass, as shown above. Which piece will have greater mass?

Hint: if you're not familiar with the idea of the center of mass, it is the position about which we could balance the bat if we placed it on a knife's edge.

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