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andyrk
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Why do we simply add the equations of SHM in case the two SHMs are superimposing?
Superposition of SHM: Adding Two Equations for Understanding
- Thread starter andyrk
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- Shm Superposition
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The discussion centers on the principle of superposition in simple harmonic motion (SHM), highlighting that when two SHMs are superimposed, their equations can be added due to the linearity of the underlying differential equation, ##x''=-kx##. It explains that if ##x=A(t)## and ##x=B(t)## are solutions, then their sum ##x(t)=A(t)+B(t)## also represents a valid solution. This property arises from the linear nature of the differential equation governing SHM. The concept of superposition is crucial for understanding the behavior of systems in SHM. Overall, the linearity of the differential equation allows for the straightforward addition of SHM equations.