# Oscillations

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.

FORMULA SUMMARY:

Mobile position that it describes Bioprofe |Oscillations theory|01

Mobile velocity which is subjected to a harmonic force Bioprofe |Oscillations theory|02

Mobile accelerating mobile subjected to a harmonic force Bioprofe |Oscillations theory|03

Force that has to act on a particle so that it oscillates with simple harmonic motion Bioprofe |Oscillations theory|04

Harmonic motion of translation Bioprofe |Oscillations theory|05

Harmonic motion of rotation Bioprofe |Oscillations theory|06

Period of simple pendulum (L = pendulum length) Bioprofe |Oscillations theory|07

Period of physic pendulum (d = distance between the center of gravity and the point of suspension) Bioprofe |Oscillations theory|08

Reduced length of a physical pendulum Bioprofe |Oscillations theory|09

ENERGY OF SIMPLE HARMONIC MOTION

The forces involved are central and conservative; therefore, the mechanical Energy is constant Bioprofe |Oscillations theory|10

Potencial Energy Bioprofe |Oscillations theory|11

Kinetic Energy Bioprofe |Oscillations theory|12