Simple Harmonic Motion

Simple Harmonic Motion is a type of periodic motion where the restoring force is directly proportional to the displacement. It can serve as a mathematical model of a variety of motions, such as the oscillation of a spring. In addition, other phenomena can be approximated by simple harmonic motion, including the motion of a simple pendulum as well as molecular vibration.periodic motionmathematical modelsimple pendulummolecular vibration

spring constant Units: N/m

Example 1 A Tire Pressure Gauge The spring constant of the spring is 320 N/m and the bar indicator extends 2.0 cm. What force does the air in the tire apply to the spring?

A spring experiencing simple harmonic motion behaves as indicated in the following equation: T s = Period of the spring m = mass k = spring constant

A simple pendulum consists of a particle attached to a frictionless pivot by a cable of negligible mass. T p = the Period of the pendulum L = length of cable g = acceleration due to gravity