Oscillations are the repetitive variation, disturbance or fluctuation over the time measure about a central value or system. A particle oscillates periodically when it moves relative to its equilibrium position.
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. There are several key concepts in the study of harmonic motion:
- – Amplitude (A): maximum elongation which a stroke has.
- – Period (T): time that a complete swing is done.
- – Frequency (f): Number of oscillations per unit time.
The driving force acting on a particle of mass m so that it oscillates with simple harmonic motion, must be proportional to the displacement x and opposite to it.
Mobile position that it describes
Mobile velocity which is subjected to a harmonic force
Mobile accelerating mobile subjected to a harmonic force
Force that has to act on a particle so that it oscillates with simple harmonic motion
Harmonic motion of translation
Harmonic motion of rotation
Period of simple pendulum (L = pendulum length)
Period of physic pendulum (d = distance between the center of gravity and the point of suspension)
Reduced length of a physical pendulum
ENERGY OF SIMPLE HARMONIC MOTION
The forces involved are central and conservative; therefore, the mechanical Energy is constant
You can download the App BioProfe READER to practice this theory with self-corrected exercises.