oscillations Flashcards
periodic motion
repeats itself in equal time intervals
oscillation
periodic motion where the particle moves back and forth over the same path about a fixed equilibrium point.
period
time taken to complete 1 oscillation in a vibrating/oscillating system.
frequency
number of oscillations completed per unit time.
angular frequency
angular frequency, w, is a measurement related to the frequency, f, of a sinusoidal motion by the relation w = 2pi x f
simple harmonic motion
oscillatory motion in which the body’s acceleration is directly proportional to its displacement from its fixed equilibrium position, and, is always in opposite direction to its displacement. (when acceleration +ve, displacement -ve)
free oscillation
oscillations in the absence of external dissipative forces.
damped oscillations
oscillations in which the amplitude of oscillations diminishes with time as a result of dissipative forces that reduces the total energy of the oscillations.
damping
process in which the amplitude of oscillations diminishes with time as a result of dissipative forces that reduced the total energy of the oscillations.
degree of damping
degree of damping determines the form of the decay of the amplitude of vibration of an oscillating body.
light damping
object undergoes a number of complete oscillations with the amplitude of vibration decreasing exponentially with time. the greater the amount of damping, the greater the rate of decay.
critical damping
the displacement from equilibrium position is reduced to 0 (i.e. the system, when displaced and released, returns to its equilibrium position) in the least time possible, WITHOUT any oscillations occurring.
heavy damping
the displacement reduces exponentially with time. there are NO OSCILLATIONS and the time for the displacement to decrease by a certain fraction is longer than critical damping. this time increases as damping increases.
forced oscillations
a periodic driving force is applied on a system to cause it to oscillate at the frequency at which the periodic force is applied.
forced frequency
the frequency at which a body is made to vibrate by imposing a periodic force on it.