Difference Between Shm & Oscillation

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    Oscillation Shm
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Simple harmonic motion (SHM) is a specific type of oscillation characterized by motion that follows a sinusoidal function. In contrast, oscillation encompasses a wider range of alternating motions, which can be periodic or non-periodic, as long as the displacement remains bounded between two extremes. SHM is defined by a restoring force that is proportional to the negative displacement from equilibrium. This means that in SHM, the force acting on the object is directly related to how far it is from its rest position, acting in the opposite direction. Overall, while all SHM is oscillation, not all oscillation qualifies as SHM.
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What is the difference between simple harmonic motion and oscillation?
 
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In simple harmonic motion, the motion of the body in question can be simply described as following sinusoidal function. Oscillation covers broader range of alternating motion, both periodic and non-periodic, as long as the displacement is bounded between two extrema.
 
SHM is a kind of oscillation. The oscillations where the restoring force F is proportional to the displacement of the particle oscillating from equilibrium and in opposite direction is SHM.

That is for SHM, F is proportional to (-x)
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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