Lissajou's Figure: Name for Distorted Eight?

  • Thread starter Thread starter Amith2006
  • Start date Start date
  • Tags Tags
    Figure
AI Thread Summary
When two simple harmonic motions are applied at right angles with a time period ratio of 1:2, a figure resembling a distorted eight is produced. The phase differences of (pi)/4 and 3(pi)/4 result in variations that deviate from a perfect figure of eight. The discussion seeks a universally accepted nomenclature for this distorted figure. Additionally, the visual representation of these motions can create intricate 3-D rotating patterns, often observed using oscilloscopes with audio inputs. The exploration of these figures highlights the fascinating interplay between sound and visual motion.
Amith2006
Messages
416
Reaction score
2

Homework Statement


When 2 simple harmonic motions are applied to a particle at right angles to each other having time periods in the ratio 1:2, you get a figure of eight. When the phase difference is (pi)/4,3(pi)/4,... you don't get a perfect figure of eight.Can it be called a distorted eight or is there any other name? I would like to follow the nomenclature that is universally accepted.That is why I asking.Thanx in advance.

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
It's a 3-D rotating figure 8, isn't it? We used to put 60Hz into the horizontal of an oscilloscope and rock music into the vertical channel. Great stuff. Especially on the loud, hard bass guitar notes... Lots of rotating lissajou figures with fine treble detail fuzzing it all up...
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top