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Chapter 15
Oscillations

Simple Harmonic Motion
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…
Characteristics of Simple Harmonic Motion
The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the…
Oscillations about an Equilibrium Position
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the…
Energy in Simple Harmonic Motion
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…
Frequency of Spring-Mass System
One interesting characteristic of the simple harmonic motion (SHM) of an object attached to a spring is that the angular frequency, and the period…
Simple Harmonic Motion and Uniform Circular Motion
While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic…
Problem Solving: Energy in Simple Harmonic Motion
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…
Simple Pendulum
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…
Torsional Pendulum
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…
Physical Pendulum
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…
Measuring Acceleration Due to Gravity
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…
Damped Oscillations
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its…
Types of Damping
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence…
Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients.…
Concept of Resonance and its Characteristics
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
A strategy based on doped liquid crystalline networks is described to create mechanical self-sustained oscillations of plastic films under continuous…
Fabrication and Testing of Microfluidic Optomechanical Oscillators
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
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…

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