Chapter 15
Oscillations
Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force…
The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the…
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the…
To determine the energy of a simple harmonic oscillator, consider all the forms of energy it can have during its simple harmonic motion. According to…
One interesting characteristic of the simple harmonic motion (SHM) of an object attached to a spring is that the angular frequency, and the period…
While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic…
Simple harmonic motion (SHM) is a type of periodic motion in time and position, in which an object oscillates back and forth around an equilibrium…
A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our…
A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the…
When a rigid body is hanging freely from a fixed pivot point and is displaced, it oscillates similar to a simple pendulum and is known as a physical…
Consider a coffee mug hanging on a hook in a pantry. If the mug gets knocked, it oscillates back and forth like a pendulum until the oscillations die…
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its…
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence…
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients.…
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing…
Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
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A strategy based on doped liquid crystalline networks is described to create mechanical self-sustained oscillations of plastic films under continuous…
Cavity optomechanics experiments that parametrically couple the phonon modes and photon modes have been investigated in various optical systems…
Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
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The purpose of this study was two-fold: 1) demonstrate a technique that can be used to directly estimate the inertial properties of a below-knee…
