• Damping?an oscillator affects its?amplitude?of oscillation:
  • When?damping?is?increased?the?amplitude decreased
  • damping?and?amplitude?are?inversely proportional?to each other

As damping is increased, resonance peak lowers, the curve broadens and moves slightly to the left

• A?Ductile?material can be stretched for a long time before it snaps
  • We can say it undergoes a large amount of?plastic deformation?before it is?permanently deformed

• Examples of ductile materials include:
  • Most metals (particularly copper, gold and silver)
  • Non-metals are generally not ductile

Brittle and ductile materials on a stress-strain graph. These are the same on a force-extension graph too

• The?amplitude of oscillations?can be reduced due to the?plastic deformation?of a?ductile material
• This happens because energy from the oscillations is used to deform the material
  • The kinetic energy of the oscillator is reduced and transferred into the deformation of the material
• A climbing rope is different from a rescue rope or a bungee cord:
  • A climbing rope is designed to extend when loaded suddenly
  • The rope stretches to reduce the amplitude of the oscillation when a climber falls onto it
  • It provides critical damping by immediately stopping the climber from bouncing

A climber uses a dynamic rope that stretches when she falls onto it. This reduces the amplitude of her oscillation and the force she experiences reducing injury.