Center of Mass of an Object A After Breaking

Have you considered the height at which the object breaks? In summary, an object of mass M falls and breaks into two fragments, one with mass M/3 and the other with 2M/3. The center of mass of the fragments will shift depending on the height at which the object breaks, so the correct answer is c.
  • #1
lowqiumei
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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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  • #2
Maybe, maybe not. Why do you think that?
 

1. What is the center of mass of an object after breaking?

The center of mass of an object after breaking refers to the point in an object where the mass is evenly distributed in all directions. It is the point where an object can be balanced or supported without tipping over.

2. How is the center of mass determined for a broken object?

The center of mass for a broken object can be determined by finding the average position of all the individual masses that make up the object. This can be done by using equations or through experimental methods such as balancing the object on a pivot point.

3. Does the center of mass change after an object is broken?

Yes, the center of mass can change after an object is broken, depending on how the object is broken. If the object is broken into equal pieces, the center of mass will remain in the same location. However, if the object is broken unevenly, the center of mass will shift towards the heavier side.

4. Why is the center of mass important for a broken object?

The center of mass is important for a broken object because it determines the stability and balance of the object. If the center of mass is located outside the base of support, the object will be unstable and likely to tip over. Knowing the center of mass is also important for understanding the motion and forces acting on the object.

5. Can the center of mass of a broken object be outside of the object's physical boundaries?

Yes, the center of mass of a broken object can be outside of the object's physical boundaries. This can occur if the individual pieces of the object have different masses and are arranged in a way that the center of mass falls outside of the original object's boundaries. It is also possible for the center of mass to be located at a point where there is no physical material, such as in a ring or hollow sphere.

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