For implicit differentiation, is dy/dx of x2+y2 = 50 the same as y2 = 50 - x2 ?
From what I can take it, it'd be a no since.
For x2+y2 = 50,
d/dx (x2+y2) = d/dx (50) --- will eventually be ---> dy/dx = -x/y
Where,
y2 = 50 - x2
y = sqrt(50 - x2)
dy/dx = .5(-x2+50)-.5*(-2x)
I = 1/2 ρ v ω2 A2
I don't know what "I" is nor do I know what "A" is but it has to do with sound waves.
May you also please correct me if I am wrong but is:
ρ = density of air
v = velocity of sound = 343 m/s
ω = angular frequency of the sound wave = 2πƒ
And also may you please answer what is...
In a RC circuit is voltage through a capacitor always consider negative no matter if you're going with or against the current when setting up a voltage equation?
Homework Statement
Homework Equations
Vab = ∫ E*dr
The Attempt at a Solution
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For part (b) I am not sure if I should set the upper and lower bound of the integral from "R" to "2R" or "2R" to "3R". If done so, this would give me V2R = Vab * ln|3R/2R| / ln |3| instead of what is on the...
Homework Statement
Homework Equations
.Q = CVab
The Attempt at a Solution
I am having a hard time understanding when to put the capacitance in the denominator. I get that Voltage = Charge/Capacitance, but for the equation circled in red "q1/c + q2/c = q3c" ... I don't get why each of...
I don't understand what is meant by a force being conservative. Is it where the force moves in an easier to calculate manner with straight lines; whereas, non-conservative moves in a curves where you'd have to use integration?
So it's like the picture down below where at any point (position) in that picture the electric field = 0 just as long as those two charges are either 0, 90, 180, and 270 degrees from each other? Anything that does not make their magnitude different from one another. In that case 45 degrees, the...
Let's say you have two particles that are the same in magnitude but have opposite charges like the equation down below:
E1 = -q*k/r^2
E2 = q*k/r^2
ETotal = q*k/r^2 + -q*k/r^2 = 0
Does this mean that the electric field of both these charges cancel out each other? Then what is the electric...
At this point I was given rho, sigma and landa to hold value of these three different kinds of density
ρ = Charge/Volume -------------- Volume Density
σ = Charge/Area ----------------- Area Density
λ = Charge/Length ---------------- Length Density
How do I know which type of density to use over...
Thank you, I will keep in mind to integrate the variables of dA and to be mindful of the upper and lower bounds of each problem.
However to clear things up, let's say if I were to re-do the φTop, would it equal to:
Etop = -5x E0/L i + 3z E0/L k
= -5x E0/L...
Homework Statement
I need help in figuring out if I have done this problem correctly. From what I understand ∫E * dA = E*A, where E is the electric field and A is the area of a side. My biggest concern is if I can plug in the length "L" for the "x" and "z" variables within "E = -5x * E0/L i +...
For an equations such as this what goes into the θ?
θ = sinθ or θ = θ?
Let's say if the angle of displacement = 45° do I just plug 45° as θ into the equation below or should it be sin(45°)?
Or is it θ = S/R ?
ωf2 = ωi2 + 2 α (θf - θi)
so m*L2/12 + m* (2L/3)2
where Ic = m*L2/12
and md^2 = m* (2L/3)2when you said "MI about CM" you mean the mass around the center mass which is the entire rod? As for d is the "distance between parallel axes passing through CM and pivot" meaning the length between the end of the stick pass the...