Any scientisty ppl?

[leviathane]

Anyone able to give a quick summary of the following?

• why frictional damping produces an exponential decrease in oscillations
• why electromagnetic damping produces a linear decrease in oscillations at low voltages
• And why electromagnetic damping produces an exponential decrease in oscillations at higher voltages?

Heh any help would be just super xD Wheres Cadelin when you need him

 

[Dukat]

Anyone able to give a quick summary of the following?

• why frictional damping produces an exponential decrease in oscillations
• why electromagnetic damping produces a linear decrease in oscillations at low voltages
• And why electromagnetic damping produces an exponential decrease in oscillations at higher voltages?

Heh any help would be just super xD Wheres Cadelin when you need him

The answer may be too shocking for some people, therefore look only if you have protection against your head asploding.

Spoiler

SCIENCE BACON!

 

[Cadelin]

Heh any help would be just super xD Wheres Cadelin when you need him

Lurking as always. I don't think I can improve on Dukat's awesome bacon related answers tbh.

The solution to these problems can be found by solving second order differential equations.

The solution to the frictional one is simply a Damped Harmonic Oscillator (If this is too complicated I can explain in Layman's terms too)

I would guess the electromagnetic question refers to the Transmission Line problem. In this case the wiki page makes the approximation that R is small in order to get the case for the exponential decrease. However R is relative to V and I so if R is small then V can be assumed to be big.

 

[leviathane]

i could kiss you boyo

 

[leviathane]

i've basic put down that frictional damping is a frictional force which acts proportional to the velocity of the mass and naturally opposes the motion. Amplitude decays with time.

 

[Jugvayne]

Lurking as always. I don't think I can improve on Dukat's awesome bacon related answers tbh.

The solution to these problems can be found by solving second order differential equations.

The solution to the frictional one is simply a Damped Harmonic Oscillator (If this is too complicated I can explain in Layman's terms too)

I would guess the electromagnetic question refers to the Transmission Line problem. In this case the wiki page makes the approximation that R is small in order to get the case for the exponential decrease. However R is relative to V and I so if R is small then V can be assumed to be big.

WOah, I swear the waveguides section of my electromagnetics course skipped on that.

 

[Ingafgrinn Macabre]

Friction, or any kind of dampening, turns kinetic energy into electrical energy or heat.
The formula for kinetic energy is
Ek=½mv²

Speed (v) has a power in that formula.
If you halve the energy in the system, due to friction, you only lower the speed by a factor of SQRT(2)

It's been a while since I worked with these calcs, but it had something to do with that.

About low voltage.... No idea. How is the voltage applied? Does the moving object have an aluminium plate, and the track magnetic coils? In that case, you wanna look up on eddy currents. If the moving object has a permanent magnet, you're looking at magnetic repulsion. You'll have to look into that