Damper Oscillator dropping amplitude to half the original value

In summary: He also asks for help understanding the equations and finding resources to help him solve the problem. The responder suggests looking at a website and textbook for help, and also provides an equation for the general case.
  • #1
Hypnos_16
153
1

Homework Statement



Consider a damped oscillator
Assume that the mass is 318g, the spring constant is 104 N/m, and b = 0.106 kg/s. How long does it take for the amplitude to drop to half its initial value?

M = 318 g Or 0.318 kg
K = 104 N/m
b = 0.106 kg/s

Homework Equations



n / a

The Attempt at a Solution



I have no sweet clue how to even start something like this! Help would be greatly appreciated!
 
Physics news on Phys.org
  • #3
Do you know the equations of (damped) oscillatory motion?
Have you tried solving:
[itex] a\ddot{x}(t)+b\dot{x}(t)=-cx(t) [/itex]?
I'd refer you hither, and you can simply plug in if you like, but I recommend actually solving for the general case, it's fairly trivial, and very instructive...
http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator"
Daniel
 
Last edited by a moderator:

What is a damper oscillator?

A damper oscillator is a type of mechanical oscillator that consists of a mass attached to a spring and a frictional or damping force. This system exhibits oscillatory motion due to the interplay between the restoring force of the spring and the damping force.

What causes the amplitude of a damper oscillator to decrease?

The amplitude of a damper oscillator decreases due to the damping force, which dissipates energy from the system. This energy loss leads to a decrease in the amplitude of the oscillatory motion over time.

How does the damping force affect the amplitude of a damper oscillator?

The damping force is directly proportional to the velocity of the mass in a damper oscillator. This means that as the velocity increases, the damping force also increases, resulting in a greater loss of energy and a decrease in the amplitude of the oscillatory motion.

What happens to the amplitude of a damper oscillator over time?

The amplitude of a damper oscillator decreases over time due to the continuous dissipation of energy by the damping force. Eventually, the amplitude will decrease to half of its original value and continue to decrease until the oscillations come to a stop.

How can the amplitude of a damper oscillator be increased?

The amplitude of a damper oscillator can be increased by reducing the amount of damping force acting on the system. This can be achieved by adjusting the design of the oscillator or by adding a supplemental force that counteracts the damping force.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
21
Views
4K
  • Introductory Physics Homework Help
Replies
17
Views
362
  • Introductory Physics Homework Help
Replies
15
Views
4K
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
892
  • Introductory Physics Homework Help
Replies
11
Views
2K
Back
Top