Linear Angular Oscillation
Linear Angular Oscillation - Related Videos
01:09
Relating Angular And Linear Quantities - I
0 Views •
2023
If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones. When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
01:05
Relating Angular And Linear Quantities - II
0 Views •
2023
In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation: This could also apply to points on a rigid body rotating about a fixed axis. In a circular motion, both uniform and nonuniform, there exists a centripetal acceleration. The centripetal acceleration vector points inward from the particle executing circular motion toward the axis of rotation. In uniform circular motion, when the...
09:33
Angular Momentum
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Angular momentum is defined as the product of the moment of inertia and the angular velocity of the object. Like its linear analog, angular momentum is conserved, meaning that the total angular momentum of a system will not change if there are no external torques on the system. A torque is the rotational equivalent of a force. Because it is a...
09:10
Fabrication and Testing of Microfluidic Optomechanical Oscillators
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Cited by 10 •
2014
Parametric optomechanical excitations have recently been experimentally demonstrated in microfluidic optomechanical resonators by means of optical radiation pressure and stimulated Brillouin scattering. This paper describes the fabrication of these microfluidic resonators along with methodologies for generating and verifying optomechanical oscillations.
02:39
In Vitro Recording of Theta Oscillations in the Mouse Hippocampus
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2025
This video demonstrates the recording of rhythmic neuronal network activity, also known as theta oscillations, in an isolated hippocampus. Electrodes are inserted into various layers and spatial positions to detect and analyze theta oscillations. This shows the unique neuronal compositions and the connectivity of the neuronal network across different layers of the hippocampus.
FAQs
A restoring force acts against linear displacement, while a restoring torque acts against angular displacement about a fixed axis. Their direction toward equilibrium determines whether the system returns after being disturbed. When either interaction is proportional to the corresponding displacement, the motion follows simple harmonic behavior, allowing physicists to predict periodic motion and its characteristic frequency.
Small oscillations make the restoring force or torque approximately proportional to displacement. This proportional relationship is the condition that produces simple harmonic motion and a well-defined characteristic frequency. If the displacement is not small, that proportionality may no longer describe the system accurately, so predictions based on the simple harmonic model become less reliable.
The comparison uses paired variables: linear displacement corresponds to angular displacement, and restoring force corresponds to restoring torque. Both systems can be examined through equilibrium, periodic motion, characteristic frequency, energy exchange, resonance, and damping. This parallel lets physicists transfer ideas from translational dynamics to rotational dynamics while respecting the different type of displacement involved.
Oscillating systems exchange energy as their motion proceeds, and resonance describes the response associated with a characteristic frequency. Damping influences how that motion changes over time by reducing the persistence of the oscillation. Examining these effects helps physicists predict whether a mechanical system maintains, amplifies, or gradually loses its oscillatory response under relevant conditions.
Start by locating the equilibrium position or orientation, then identify whether displacement is linear or angular and whether the restoring interaction is a force or torque. Determine whether the proportionality needed for simple harmonic motion applies, and then examine characteristic frequency, energy exchange, resonance, and damping. This sequence connects the system's physical setup to its predicted behavior.
Springs provide examples of systems organized around linear displacement, while pendulums and torsional oscillators illustrate angular displacement about an axis. The same framework also supports analysis of mechanical and engineered systems in which restoring interactions, frequency, resonance, energy exchange, or damping determine performance. These applications connect idealized physics principles with practical system behavior.