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Related Concept Videos

Forced Oscillations01:06

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. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Concept of Resonance and its Characteristics01:19

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 piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...
Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Mechanical Systems01:22

Mechanical Systems

Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically described...
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...

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Related Experiment Video

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Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

A macroscopic mechanical resonator driven by mesoscopic electrical back-action.

Joel Stettenheim1, Madhu Thalakulam, Feng Pan

  • 1Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA.

Nature
|July 3, 2010
PubMed
Summary
This summary is machine-generated.

Quantum tunneling electrons cause macroscopic crystal vibrations. This study reveals how microscopic quantum fluctuations in electron transport can drive the motion of a large mechanical oscillator, demonstrating a macroscopic quantum effect.

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Area of Science:

  • Quantum mechanics
  • Mesoscopic physics
  • Nanomechanics

Background:

  • Coupled systems with mechanical and optical/electrical degrees of freedom exhibit complex dynamics.
  • Macroscopic quantum phenomena offer insights into the classical-quantum transition.
  • Electron and photon back-action on mechanical oscillators can influence motion (cooling/amplification).

Purpose of the Study:

  • To investigate the mesoscopic back-action of electron tunneling on mechanical resonators.
  • To demonstrate macroscopic manifestations of quantum behavior in electron transport.
  • To explore feedback effects on detector noise coupled to mechanical oscillators.

Main Methods:

  • Utilized noise measurements to detect mechanical vibrations.
  • Employed radio-frequency quantum point contacts for electron tunneling.
  • Studied carbon nanotube nanomechanical resonators.

Main Results:

  • Observed driven vibrations of a host crystal caused by electron tunneling.
  • Demonstrated that statistical fluctuations of tunneling electrons determine crystal motion.
  • Showcased a macroscopic manifestation of microscopic quantum behavior.

Conclusions:

  • Mesoscopic back-action of tunneling electrons can induce macroscopic mechanical motion.
  • This phenomenon highlights the interplay between quantum transport and mechanical systems.
  • The study provides a unique platform for exploring quantum effects in macroscopic objects.