PH100-ENGINEERING PHYSICS : Simple Harmonic Motion-Slides

Simple Harmonic Motion

PH100-ENGINEERING PHYSICS : Simple Harmonic Motion-Slides
Simple Harmonic Motion
Back and forth motion that is caused by a force that is directly
proportional to the displacement. The displacement centers
around an equilibrium position.

Springs – Hooke’s Law
One of the simplest type
of simple harmonic
motion is called
Hooke's Law. This is
primarily in reference to
SPRINGS.
The negative sign only
tells us that “F” is what is
called a RESTORING
FORCE, in that it works in
the OPPOSITE direction
of the displacement.
Hooke’s Law
Common formulas which are set equal to
Hooke's law are N.S.L. and weight
Example
A load of 50 N attached to a spring hanging vertically stretches the
spring 5.0 cm. The spring is now placed horizontally on a table
and stretched 11.0 cm. What force is required to stretch the
spring this amount?

Frequency
The FREQUENCY of a wave is the inverse of the
PERIOD. That means that the frequency is the
#cycles per sec. The commonly used unit is
HERTZ(HZ).
SHM and Uniform Circular Motion
•The radius of a circle is symbolic of the
amplitude of a wave.
•Energy is conserved as the elastic
potential energy in a spring can be
converted into kinetic energy. Once
again the displacement of a spring is
symbolic of the amplitude of a wave
•Since BOTH algebraic expressions
have the ratio of the Amplitude to the
velocity we can set them equal to each
other.

•This derives the PERIOD of a SPRING