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Simple Harmonic Motion and Uniform Circular Motion01:42

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While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.
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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...
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Humans have been making ships, shelters, pyramids, weapons, agricultural equipment, and many more items without recording the process or theory behind them for centuries. It would be challenging to document the evolution of mechanics from its origin to the present.
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Motion draws our attention. Motion itself can be beautiful, causing us to marvel at the forces needed to create spectacular sights, such as that of a dolphin jumping out of the water, the flight of a bird, or the orbit of a satellite. The study of motion is kinematics, but kinematics only describes the way objects move—their velocity and acceleration. Dynamics considers the forces that affect the motion of moving objects and systems. Newton's laws of motion are the foundation of...
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A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
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Simple Harmonic Motion01:21

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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 can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
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Related Experiment Video

Updated: Nov 27, 2025

Controlled Rotation of Human Observers in a Virtual Reality Environment
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Observable and Unobservable Mechanical Motion.

J Gerhard Müller1

  • 1Department of Applied Sciences and Mechatronics, Munich University of Applied Sciences, D-80335 Munich, Germany.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

Energy dissipation is crucial for observing mechanical motion, as seen in charged particle radiation. Minimum action principles minimize this energy dissipation, optimizing mechanical motion observation.

Keywords:
Hamilton’s equations of motionenergy dissipationinformation gainmechanical motionprinciple of least action

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Area of Science:

  • Thermodynamics
  • Classical Mechanics
  • Quantum Mechanics

Background:

  • Mechanical motion is typically observed through its interaction with the environment.
  • Energy dissipation plays a critical role in the observability of mechanical processes.
  • Radiation emission from charged particles can be conceptualized as a frictional force.

Purpose of the Study:

  • To present a thermodynamic framework for understanding mechanical motion.
  • To investigate the role of energy dissipation in the observation of mechanical motion.
  • To explore the connection between minimum action principles and energy dissipation.

Main Methods:

  • Analysis of charged particles in conservative central force fields.
  • Thermodynamic modeling of radiation emission as a dissipative process.
  • Application of Hamilton's equations of motion to macroscopic and microscopic systems.

Main Results:

  • Radiation emission acts as friction, transferring mechanical energy to the environment.
  • Observation events, resulting from radiation detection, constitute a physical overhead on mechanical motion.
  • Hamilton's equations minimize this overhead by selecting trajectories with minimal curvature and reduced dissipation.

Conclusions:

  • Minimum action principles are equivalent to principles of minimum energy dissipation and/or information gain for single particles.
  • These principles govern macroscopic particle motion but are challenged in complex microscopic systems.
  • Understanding energy dissipation is key to comprehending the observability and fundamental principles of motion.