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What Patterns Emerge in Graphical Representations of SHM Over Time?

Understanding Simple Harmonic Motion (SHM)

When we look at Simple Harmonic Motion (SHM) using graphs, we can see some interesting patterns. Let’s break these down:

  1. Position vs. Time:
    This graph looks like a wave. It shows how an object moves back and forth. The highest point is called maximum displacement, or AA. The wave goes through zero when the object is at the middle point, known as equilibrium.

  2. Velocity vs. Time:
    This graph also looks like a wave but shifts a little to the side. The speed is the highest when the object is at the middle point (equilibrium) and goes down to zero when the object is at the highest or lowest points.

  3. Acceleration vs. Time:
    This graph looks a lot like the position graph but is upside down. The acceleration is the strongest at the highest and lowest points and is zero when the object is at the middle point. This shows that there is a steady force pulling the object back to the middle.

These patterns make it easier to see how SHM works!

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What Patterns Emerge in Graphical Representations of SHM Over Time?

Understanding Simple Harmonic Motion (SHM)

When we look at Simple Harmonic Motion (SHM) using graphs, we can see some interesting patterns. Let’s break these down:

  1. Position vs. Time:
    This graph looks like a wave. It shows how an object moves back and forth. The highest point is called maximum displacement, or AA. The wave goes through zero when the object is at the middle point, known as equilibrium.

  2. Velocity vs. Time:
    This graph also looks like a wave but shifts a little to the side. The speed is the highest when the object is at the middle point (equilibrium) and goes down to zero when the object is at the highest or lowest points.

  3. Acceleration vs. Time:
    This graph looks a lot like the position graph but is upside down. The acceleration is the strongest at the highest and lowest points and is zero when the object is at the middle point. This shows that there is a steady force pulling the object back to the middle.

These patterns make it easier to see how SHM works!

Related articles