Damped (or free) oscillation occurs when an object is set to vibrate at its natural frequency while forced oscillation involves the application of a force to keep an object in constant or repetitive motion.
Underdamped oscillations occur when a system returns to equilibrium after being disturbed with a smaller number of oscillations. Overdamped oscillations occur when the system returns to equilibrium without any oscillations.
In underdamped oscillations, the system oscillates around its equilibrium position before settling, while in overdamped oscillations, the system returns to equilibrium without any oscillation.
Underdamped oscillations display a decaying amplitude over time, while overdamped oscillations involve a much slower return to equilibrium.
Free oscillation takes place due to vibrations in the body itself (internal periodic force).In forced oscillations, the body vibrates with an external periodic force.
In underdamped oscillations the response of the system decays exponentially while in overdamped oscillations the system doesn't exhibit any oscillations.
if the amplitude of oscillation decreases with time in presence of friction such oscillation are called damped oscillation and the oscillation maintained by external forces are called forced oscillation.
A transverse wave is one where the oscillations are perpendicular to the direction of wave propagation, like a wave on a string. A compression wave, or longitudinal wave, is where the oscillations are parallel to the direction of wave propagation, like sound waves in air.
A beat in oscillations occurs when two waves with slightly different frequencies interfere with each other. This interference results in a pattern of alternating constructive and destructive interference, causing the amplitude of the resulting wave to oscillate over time. The frequency of the beat is equal to the difference between the frequencies of the two original waves.
Three properties of oscillations that are also found in waves are amplitude (maximum displacement from equilibrium), frequency (number of oscillations or cycles per unit time), and wavelength (distance between two consecutive points that are in phase).
Convergent oscillations refer to a phenomenon where multiple oscillating systems or signals gradually synchronize their frequencies or phases over time. This can result in increased coherence and coordination between the oscillators, leading to a more organized and structured pattern of oscillation. Convergent oscillations are commonly observed in complex systems such as neural networks, coupled pendulums, and synchronized firefly flashes.
A ballistic galvanometer measures charge by letting current flow through a coil and measuring the extent of its deflection. A deadbeat galvanometer is designed to quickly dampen the coil's movement to minimize oscillations, making it more suitable for accurately measuring steady currents.
In transient heat transfer, the rate of heat transfer is changing with time. By definition, in steady-state heat transfer, the rate of heat transfer does NOT change with time. In the real world, heat transfer starts out as transient and then approaches steady-state with time until the difference between the actual and the ideal becomes negligible or until thermal equilibrium is approached.
A transverse wave is a moving wave that consists of oscillations occurring perpendicular to the direction of energy transfer. where as compressional waves (also known as Longitudinal waves) are waves that have the same direction of oscillations parallel to their direction of travel I hope this clears it out...
Distance between the peakes and troughs in a waves oscillations.
Electromagnetic waves are generated through frequency oscillations which usually involve a coil of wire or in an extension such as a transmitting antenna. Lasers are light, formed in a coherent beam and generally don't exhibit electromagnetic waves.
Consider the function y = an If a < -1 it oscillates between negative and positive values, with the oscillations increasing. If a = -1, it oscillates between -1 and 1. If -1 < a < 0 it oscillates between negative and positive values, with the oscillations deceasing. if 0 < a < 1, it is decreasing. If a = 1, it is 1 for all n If a > 1, it is increasing.
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