Center of Mass of an Object A After Breaking

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SUMMARY

The center of mass of an object A, which breaks into two fragments of mass M/3 and 2M/3 while falling under gravity, shifts towards the fragment with mass 2M/3. This conclusion is based on the principle of the center of mass, where the position is determined by the weighted average of the masses. The relevant equation used in the discussion is the summation of Mx/x, which indicates that the center of mass will move towards the larger mass fragment.

PREREQUISITES
  • Understanding of center of mass concepts
  • Knowledge of basic physics principles related to gravity
  • Familiarity with mass distribution and its effects
  • Ability to apply equations of motion in a vertical plane
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  • Study the principles of center of mass in multi-body systems
  • Learn about the effects of mass distribution on motion
  • Explore advanced topics in dynamics related to breaking objects
  • Review equations of motion under gravitational forces
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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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