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Overdamping occurs when the system achieves the desired result without overshooting, but takes longer than necessary to do so, as the critical elements require a slower response time.

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16y ago

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What is the formula for Damping frequency?

The formula for damping frequency is ω_d = ω_n * sqrt(1 - ζ^2), where ω_d is the damping frequency, ω_n is the natural frequency, and ζ is the damping ratio. It represents the rate at which the amplitude of a damped oscillator decreases over time.


When there is reduction in amplitude over every cycle of vibration then the body is said to have?

Damping. Damping is the phenomenon where the amplitude of oscillation gradually decreases over each cycle of vibration, resulting in the dissipation of energy in the system. It is commonly seen in mechanical systems and structures.


What is negative damping?

It is the opposite of normal damping (oscillation decreases), so in negative damping to get even bigger oscillation.


Advantage of critical damping over under damping and over damping?

A system that is critically damped will return to zero more quickly than an overdamped or underdamped system. Underdamping will result in oscillations for an extended period of time, and while overdamped things will return to zero without much (or any, I think) oscillations they will get there more slowly.


When a wave is acted upon by an external damping force what happens to the energy of the wave?

When a wave is acted upon by an external damping force, the energy of the wave decreases over time. The damping force absorbs energy from the wave, causing it to lose amplitude and eventually dissipate.


How can you decrease the degree of damping?

You can decrease the degree of damping by reducing the amount of friction or resistance in the system. This can be achieved by using lighter weight damping materials, adjusting the damping coefficients, or using a less viscous damping fluid.


What is damping coefficient of a pendulum?

The damping coefficient of a pendulum is a measure of how quickly the pendulum's oscillations dissipate over time due to external influences like air resistance or friction. A larger damping coefficient means the pendulum's motion will decay more rapidly, while a smaller damping coefficient means the motion will persist longer. The damping coefficient is typically denoted by the symbol "b" in the equation of motion for a damped harmonic oscillator.


When damping is occur in the system?

Damping occurs in a system when energy is dissipated and the amplitude of the oscillations gradually decreases over time. This can be due to factors such as friction, air resistance, or material properties absorbing the energy of the system. Damping helps stabilize the system and prevent it from oscillating indefinitely.


What is the damping ratio formula used to calculate the damping ratio of a system?

The damping ratio formula used to calculate the damping ratio of a system is given by the equation: c / (2 sqrt(m k)), where is the damping ratio, c is the damping coefficient, m is the mass of the system, and k is the spring constant.


How can one determine the damping factor in a system?

The damping factor in a system can be determined by analyzing the rate at which the system's oscillations decrease over time. This can be done by measuring the amplitude of the oscillations and comparing it to the system's natural frequency. The damping factor is then calculated using a formula that takes into account these measurements.


What is the significance of the damping constant in the context of oscillatory systems?

The damping constant in oscillatory systems determines how quickly the oscillations decay over time. It is important because it affects the stability and behavior of the system, influencing factors such as amplitude and frequency of the oscillations. A higher damping constant leads to faster decay of oscillations, while a lower damping constant allows for more sustained oscillations.


How does damping effect wavelength?

Damping reduces the amplitude of a wave over time, but it does not directly affect the wavelength of the wave. The wavelength of a wave is determined by the frequency of the wave and the speed at which it propagates through the medium. However, damping can affect the propagation speed of a wave, which in turn may indirectly influence the wavelength.