Can any body be uniform in the universe?

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If take any body in the shape of a rod and Stretch that, after it reaches breaking dress it breaks at one point.even though we apply same stress on each and every part of the rod it broke at one point. If it's uniform it should break at all points because breaking stress is same for all the parts of body as it's uniform










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    If take any body in the shape of a rod and Stretch that, after it reaches breaking dress it breaks at one point.even though we apply same stress on each and every part of the rod it broke at one point. If it's uniform it should break at all points because breaking stress is same for all the parts of body as it's uniform










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      If take any body in the shape of a rod and Stretch that, after it reaches breaking dress it breaks at one point.even though we apply same stress on each and every part of the rod it broke at one point. If it's uniform it should break at all points because breaking stress is same for all the parts of body as it's uniform










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      If take any body in the shape of a rod and Stretch that, after it reaches breaking dress it breaks at one point.even though we apply same stress on each and every part of the rod it broke at one point. If it's uniform it should break at all points because breaking stress is same for all the parts of body as it's uniform







      stress-strain






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      asked 15 mins ago









      Sai Charan Reddy

      15219




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          Uniform bodies are idealizations like frictionless surfaces or no air resistance. They make the work easier. In reality there will be slight deviations in material properties (such as density) along various parts of the body. In your example this deviations become more and more important as the body is stretched (which the stretching method will also have some asymmetries as well) until we get a single breaking point.






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            You could consider it as one more demonstration of the underlying quantum mechanical frame keeping atoms and molecules bonded together. Quantum mechanics is a probabilistic theory, and which bond will "break" depends on the square of the wavefunction describing the rod, with a probability which manifests in this one instance of breakage.



            To get the probability curve for the rod would be a laborious process, as it consists of order of 10^23 atoms/molecules and the number of experiments needed to plot a probability of which atom or group of atoms "breaks" will take forever.






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            • I'll take macroscopic, you take microscopic :) +1
              – Aaron Stevens
              7 mins ago











            • @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
              – anna v
              4 mins ago











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            2 Answers
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            2 Answers
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            up vote
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            Uniform bodies are idealizations like frictionless surfaces or no air resistance. They make the work easier. In reality there will be slight deviations in material properties (such as density) along various parts of the body. In your example this deviations become more and more important as the body is stretched (which the stretching method will also have some asymmetries as well) until we get a single breaking point.






            share|cite|improve this answer
























              up vote
              1
              down vote













              Uniform bodies are idealizations like frictionless surfaces or no air resistance. They make the work easier. In reality there will be slight deviations in material properties (such as density) along various parts of the body. In your example this deviations become more and more important as the body is stretched (which the stretching method will also have some asymmetries as well) until we get a single breaking point.






              share|cite|improve this answer






















                up vote
                1
                down vote










                up vote
                1
                down vote









                Uniform bodies are idealizations like frictionless surfaces or no air resistance. They make the work easier. In reality there will be slight deviations in material properties (such as density) along various parts of the body. In your example this deviations become more and more important as the body is stretched (which the stretching method will also have some asymmetries as well) until we get a single breaking point.






                share|cite|improve this answer












                Uniform bodies are idealizations like frictionless surfaces or no air resistance. They make the work easier. In reality there will be slight deviations in material properties (such as density) along various parts of the body. In your example this deviations become more and more important as the body is stretched (which the stretching method will also have some asymmetries as well) until we get a single breaking point.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 10 mins ago









                Aaron Stevens

                5,3432828




                5,3432828




















                    up vote
                    1
                    down vote













                    You could consider it as one more demonstration of the underlying quantum mechanical frame keeping atoms and molecules bonded together. Quantum mechanics is a probabilistic theory, and which bond will "break" depends on the square of the wavefunction describing the rod, with a probability which manifests in this one instance of breakage.



                    To get the probability curve for the rod would be a laborious process, as it consists of order of 10^23 atoms/molecules and the number of experiments needed to plot a probability of which atom or group of atoms "breaks" will take forever.






                    share|cite




















                    • I'll take macroscopic, you take microscopic :) +1
                      – Aaron Stevens
                      7 mins ago











                    • @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                      – anna v
                      4 mins ago















                    up vote
                    1
                    down vote













                    You could consider it as one more demonstration of the underlying quantum mechanical frame keeping atoms and molecules bonded together. Quantum mechanics is a probabilistic theory, and which bond will "break" depends on the square of the wavefunction describing the rod, with a probability which manifests in this one instance of breakage.



                    To get the probability curve for the rod would be a laborious process, as it consists of order of 10^23 atoms/molecules and the number of experiments needed to plot a probability of which atom or group of atoms "breaks" will take forever.






                    share|cite




















                    • I'll take macroscopic, you take microscopic :) +1
                      – Aaron Stevens
                      7 mins ago











                    • @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                      – anna v
                      4 mins ago













                    up vote
                    1
                    down vote










                    up vote
                    1
                    down vote









                    You could consider it as one more demonstration of the underlying quantum mechanical frame keeping atoms and molecules bonded together. Quantum mechanics is a probabilistic theory, and which bond will "break" depends on the square of the wavefunction describing the rod, with a probability which manifests in this one instance of breakage.



                    To get the probability curve for the rod would be a laborious process, as it consists of order of 10^23 atoms/molecules and the number of experiments needed to plot a probability of which atom or group of atoms "breaks" will take forever.






                    share|cite












                    You could consider it as one more demonstration of the underlying quantum mechanical frame keeping atoms and molecules bonded together. Quantum mechanics is a probabilistic theory, and which bond will "break" depends on the square of the wavefunction describing the rod, with a probability which manifests in this one instance of breakage.



                    To get the probability curve for the rod would be a laborious process, as it consists of order of 10^23 atoms/molecules and the number of experiments needed to plot a probability of which atom or group of atoms "breaks" will take forever.







                    share|cite












                    share|cite



                    share|cite










                    answered 9 mins ago









                    anna v

                    153k7146436




                    153k7146436











                    • I'll take macroscopic, you take microscopic :) +1
                      – Aaron Stevens
                      7 mins ago











                    • @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                      – anna v
                      4 mins ago

















                    • I'll take macroscopic, you take microscopic :) +1
                      – Aaron Stevens
                      7 mins ago











                    • @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                      – anna v
                      4 mins ago
















                    I'll take macroscopic, you take microscopic :) +1
                    – Aaron Stevens
                    7 mins ago





                    I'll take macroscopic, you take microscopic :) +1
                    – Aaron Stevens
                    7 mins ago













                    @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                    – anna v
                    4 mins ago





                    @AaronStevens yes, the macroscopic defects would have to be added to the probability also, and would be more important as a break has to cover a plane replete with atoms and molecules. I just thought it fun to go back to the basic quantum mechanical nature. even if it were completely uniform, there would still be a "random" probability of breakage due to the probabilistic nature of quantum mechanics.
                    – anna v
                    4 mins ago


















                     

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