# 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 F_{f}can be modeled as being proportional to the velocity v of the object: F_{f}= −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 f_{o}. 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