Recent content by Elmer Correa

Could you elaborate on the force pair at play here? And since this is a force pair, is it even accurate to consider both directions of tension 1 or 2 the same force? If so, is this just the result of naming conventions that make problems like these easier to solve?

Homework Statement The scenario I'll use specifically is in the attached file. I can understand why the pulley can have two different tensions, one for each side of the pulley, but what I don't get is why the direction of each individual tension reverses direction? For example, in the free body...

I'm not quite sure why I didn't look at your original post more closely, thanks.

Fair enough. Starting with my assumed form of a particular equation: y= e^(-2t)*(At+B) y'=-2e^(-2t)(At+B)+A*e^(-2t) y''=4e^(-2t)(At+B)-4Ae^(-2t) Plugging this all back into the original differential equation: e^(-2t)*(4At+4B-4A-8At-8B+4A+4At+4B)=e^(-2t)*t 4At+4B-4A-8At-8B+4A+4At+4B=t+0 The...

Homework Statement Finding the general solution: y”+4y’+4y=t*e^(-2t) Homework EquationsThe Attempt at a Solution So I got the complementary solution pretty easily as y= c1*e^(-2t)+c2*te^(-2t) I haven’t been able to find a particular solution using the method of undetermined coefficients. I...

Hmmm ok. Can you also say whether my interpretation that the electric and magnetic waves propagate infinitely in either direction along their respective axis is correct for transverse waves?

Could you elaborate on what exactly about a transverse wave assumes Gauss’s Law?

For the proof I've read that verifies transverse electromagnetic waves are consistent with Gauss' Law, there seems to be the suggestion that the magnetic and electric field at a given small length c(dt), along which the waves travel, propagate infinitely backwards and forwards in their...

I've tried, the formula is too complicated to graph

I don't need to graph a vector field, just level curves in 2D

Positive

Homework Statement The stream function Ψ(x,y) = Asin(πnx)*sin(πmy) where m and n are consitive integers and A is a constant, describes circular flow in the region R = {(x,y): 0≤x≤1, 0≤y≤1 }. Graph several streamlines with A=10 and m=n=1 and describe the flow. Explain why the flow is confined to...

What confused me was the part of the relationship that suggests that an electric field’s strength can change based on the properties of the material it passes through. It’s not particularly intuitive to me, but accept it I shall.

I see. So in a simple circuit with a single resistor and battery, an electric field will only exist inside the resistor component? This seems pretty bizarre to me; is this aspect of Ohm’s Law grounded mostly in experimental evidence, or does theory actually exist that explains why resistance is...

That equation was presented, but my teacher described it in terms of a given electric field causing a certain current density, not the other way around which you described. If resistivity is the ratio of electric field over current density, and the reisitivity is zero, that simple relationship...