diff --git a/docs/sph3u7.md b/docs/sph3u7.md index 29b400e..37d7a8e 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -543,6 +543,27 @@ Note that that is also equal to $\Delta \vec{P}$ above. ## 3.2 - Modelling a gas +## 4.1 - Oscillations + +!!! definition + - Oscillation is defined as a cyclical motion of an object around a central point. + - The **amplitude** ($A$) of an oscillation is the greatest displacement from its equilibrium ($\Delta x$). + - An object at an **equilibrium position** is at rest. + +### Simple hormonic motion + +In **simple harmonic motion** (SHM), an object oscillates in a fixed time interval around a central **equilibrium point** with a **linear restoring force** directed toward that equilibrium point. +$$\vec{F} \propto -\Delta \vec{x}$$ + +Alternatively, simple harmonic motion can be motion from a linear restoring force always directed to a fixed equilibrium point. + +!!! example + A spring has a restoring force equal to $\vec{F}=-k\vec{x}$. + +The position/velocity/acceleration-time graphs of an object in this type of motion are all **sinusoidal**. + +(Source: Kognity) + ## 6.1 - Circular motion Circular motion is any motion along a circular path. The instantaneous velocity of an object in circular motion at any point is always tangent to its point on the circle, so the difference between any two velocities ($\Delta \vec{v}$) is radial (lies along the radius).