# Why is critical damping important?

Critical Damping is important so as to prevent a large number of oscillations and there being too long a time when the system cannot respond to further disturbances. Instruments such as balances and electrical meters are critically damped so that the pointer moves quickly to the correct position without oscillating.
A.

### What is the damping coefficient?

A damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system. For example, a basketball has a low damping coefficient (a good bounce back).
• #### How is the damping constant related to the decay of the oscillations?

We conclude that the effect of a relatively small amount of damping, parameterized by the damping constant , on a system that exhibits simple harmonic oscillation about a stable equilibrium state is to reduce the angular frequency of the oscillation from its undamped value to , and to cause the amplitude of the
• #### What is damping of oscillations?

While simple harmonic motion oscillates with only the restoring force acting on the system, damped harmonic motion experiences friction. In many vibrating systems the frictional force Ff can be modeled as being proportional to the velocity v of the object: Ff = −cv, where c is called the viscous damping coefficient.
• #### What is damping frequency?

If a resonant mechanical structure is set in motion and left to its own devices, it will continue to oscillate at a particular frequency known as its natural frequency, or "damped natural frequency". The resonant frequency is also called the "undamped natural frequency".
B.

### What is meant by critically damped?

With less damping (underdamping) it reaches the zero position more quickly, but oscillates around it. With more damping (overdamping), the approach to zero is slower. Critical damping occurs when the damping coefficient is equal to the undamped resonant frequency of the oscillator. Damped Oscillator.
• #### What is meant by the natural frequency of vibration of a body?

Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.
• #### What are forced vibration and resonance?

This is an example of resonance - when one object vibrating at the same natural frequency of a second object forces that second object into vibrational motion. The result of resonance is always a large vibration. Regardless of the vibrating system, if resonance occurs, a large vibration results.
• #### What is the resonant frequency?

In sound applications, a resonant frequency is a natural frequency of vibration determined by the physical parameters of the vibrating object. It is easy to get an object to vibrate at its resonant frequencies, hard to get it to vibrate at other frequencies.
C.

### What is a critically damped system?

The system returns (exponentially decays) to equilibrium without oscillating. Critically damped. The system returns to equilibrium as quickly as possible without oscillating. Underdamped. The system oscillates (at reduced frequency compared to the undamped case) with the amplitude gradually decreasing to zero.
• #### How is the damping constant related to the decay of the oscillations?

We conclude that the effect of a relatively small amount of damping, parameterized by the damping constant , on a system that exhibits simple harmonic oscillation about a stable equilibrium state is to reduce the angular frequency of the oscillation from its undamped value to , and to cause the amplitude of the
• #### How does damping effect resonance?

If an object is being forced to vibrate at its natural frequency, resonance will occur and you will observe large amplitude vibrations. The resonant frequency is fo. The amplitude of the resonance peak decreases and the peak occurs at a lower frequency.
• #### What is the damping of a wave?

A damped wave is a wave whose amplitude of oscillation decreases with time, eventually going to zero, an exponentially decaying sinusoidal wave. Damped waves were the first practical means of radio communication, used during the wireless telegraphy era which ended around 1920.

Updated: 16th October 2019