1. Simple Harmonic Motion
Chapter 11
Part 1

2. (measured in N/m, N/cm or lb/in)
Hooke’s Law
Hooke’s Law applies to springs, bows etc.
Every spring has a Hooke’s constant for that spring “k”
It is a measure of the strength of the spring
(measured in N/m, N/cm or lb/in)
To extend or compress a “Hookean spring “ with a constant “k” from equilibrium
Fext = kx
X = displacement from equilibrium

3. Frestore = - kx Restoring Force
A Hookean spring will pull back with an equal but opposite force that tries to restore equilibrium
Frestore = - kx

4. Simple Harmonic Motion
When an extended or compressed spring is released the restoring force will try to restore equilibrium.
Momentum makes it overshoot
So it tries again, overshoots ,tries again..a repeating or
Simple Harmonic Motion
Stings on musical instruments, & Pendula also move in SHM

5. Measuring SHM
Every SHM has the following measurable properties: Amplitude(A): Maximum displacement from Equilibrium. Period(T): The time it takes to complete a cycle Frequency (f): The number of cycles in one second (Measured in “Hertz” (Hz) or “cycles/second”)

6. Period of a Simple Pendulum
The period (T) of a pendulum with a length (L) on a planet with an acceleration do to gravity (g) is:

7. The Period of a Mass-Spring System
The Period of a mass (m) attached to a spring with strength of (k) is: