# 6-Simple Harmonic Motion

**Slideshow**: SHM and oscillations notes

**Textbook**: Chapter 19 in Mastering Physics (get online code for registration on about page of google classroom)

### Objectives:

Objectives:

- Explain how restoring forces can cause oscillations; how linear restoring forces cause simple harmonic motion
- predict, plan data collection, analyze data and explain oscillatory motion

- A system with internal structure can have internal energy (aka potential energy). Changes in a system's structure can change the energy
- Spring mass oscillators:
*T*increases with*m*and decreases with*k*(spring stiffness)- Calculate force & acceleration for any location along an object oscillating along a spring. (Especially consider minima, maxima and zeroes for position, velocity and acceleration)
- mass-spring systems convert kinetic energy into elastic potential and vice versa based on energy conservation.

- Simple pendulums:
*T*increases with*L*and decreases with the*g*(magnitude of gravitational field).- Potential energy exists within a system if the objects have conservative forces (springs & gravity)
- Pendulums convert kinetic energy into gravitational potential energy and vice versa based on energy conservation.

### Equations:

Equations:

And the restoring force of a simple harmonic oscillator can be found using

|F_{s}|=k|x|

### Common Misconceptions: (these statements all have flaws)

Common Misconceptions: (these statements all have flaws)

- The period of oscillation depends on the amplitude.

- The heavier a pendulum bob, the shorter its period.
- All pendulum motion is perfect simple harmonic motion, for any initial angle.
- Harmonic oscillators go forever.
- A pendulum accelerates through lowest point of its swing.
- Amplitude of oscillations is measured peak-to-peak.
- The acceleration is zero at the end points of the motion of a pendulum.
- The restoring force is constant at all points in the oscillation.