Center of Mass of an Object A After Breaking

AI Thread Summary
When Object A breaks into two fragments of mass M/3 and 2M/3, the center of mass of the combined fragments shifts towards the heavier fragment, which is the one with mass 2M/3. This is due to the principle that the center of mass is influenced more by the mass of the objects than their positions. The discussion revolves around understanding how the distribution of mass affects the center of mass after the break. Participants are debating the correctness of the assumption that the center of mass shifts towards the heavier fragment. Ultimately, the consensus leans towards option (b) being the correct answer.
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Homework Statement



An Object A of mass M falls in a vertical plane under gravity. While it is in air, it breaks into two fragments, one having mass M/3 and the other having a mass of 2M/3. The center of mass of the broken fragments taken together shifts compared to that of the object A towards:

a. the fragment with mass M/3
b. the fragment with mass 2M/3
c. Depends on the height of breaking
d. Does not shifts
e. None of the above

Homework Equations



summation Mx/x

The Attempt at a Solution



I feel that the answer is (b) am I right?
 
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Maybe, maybe not. Why do you think that?
 

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