Line Definition and 1000 Threads

Homework Statement \int xydx+ 4ydy where C is the curve from (1,2) to (3,5) made up of the twoline segments parallel to the coordinate axes. c_1:(1,2)\rightarrow(3,2) c_2:(3,2)\rightarrow(3,5) Homework EquationsThe Attempt at a Solution i got c2 correct, y=2+3t, and x = 0, for t goes from 0...

Homework Statement In the argand plane z lies on the line segment joining # z_1 = -3 + 5i # and # z_2 = -5 - 3i # . Find the most suitable answer from the following options . A) -3∏/4 B) ∏/4 C) 5∏/6 D) ∏/6 2. MY ATTEMPT AT THE SOLUTION We get two points ( -3 , 5 ) & ( -5 , -3 ) => The...

Hi guys. I'm looking into the modelling of a transmission line model (TLM) and feel that I'm understanding it fairly well. Although, one parameter keeps popping up with very little explanation as to what it actually is. It seems that to characterize contact resistance for a e.g. GaAs TLM with...

Homework Statement An archerfish hunts by dislodging an unsuspecting insect from its resting place with a stream of water expelled from the fish's mouth. Suppose the archerfish squirts water with a speed of 2.00 m/s at an angle of 50 degrees above the horizontal, and aims for a beetle on a...

Hi guys. I'm looking into the modelling of a transmission line model (TLM) and feel that I'm understanding it fairly well. Although, one parameter keeps popping up with very little explanation as to what it actually is. It seems that to characterize contact resistance for a e.g. GaAs TLM with...

Hello. I have questions for transmission line and please see the image below. This is the circuit what I made in which ZO and ZL are output and load impedances, respectively. The commercial voltage probe with oscilloscope is used to measure VL, voltage over ZL . VO, the voltage difference...

There is a sentence In the electric field E⃗ =(4iˆ+4jˆ) N/C, electric potential at A(4 m, 0) is more than the electric potential at B(0, 4 m) I want to know what does it mean electric field E⃗ =(4iˆ+4jˆ) N/CIs it equation of electric field line?But how will it represent electric field...

Hi, I'm new to the forum and have a maths question. So basically, X is the time axis (per minute) and Y is the price axis. I have a data set of 200,000 Y values in excel. If I were to draw two horizontal lines through the sine like wave, how many times will the line travel between A and B?? I...

Homework Statement A line source of strength 2##\pi##m is located ##a## distance a above a horizontal plate. Find the force per unit width on the plate, ignoring gravity and taking the pressure below the plate to be uniform and equal to the stagnation pressure of the fluid. (You may nd the...

I'm trying Zipgenius because it has excellent reviews from many sources, and it is free. The problem is, I can't find any documentation at all. In the program and on the official web site, the FAQ and Help links go to dead web addresses. In particular, I would like to know the syntax to zip and...

Is there a topologist out there that wants to explain why exactly a branched line in R2 is not not a topological manifold? I know it's because there doesn't exist a chart at the point of branching, but I don't understand why not. I'm just starting to self study this, so go easy on me :).

In deriving the lifting line theory Prandtl used the Biot-Savart Law - now from the definition of a vortex filament, it is a line where each point generates a vortex flow in the surrounding fluid. Considering a particular point, if the surrounding fluid is inviscid then shouldn't the vortex...

We just started going over line integrals in calculus, and have been told that the integral over any closed surface is 0. What I don't get is then why can we do the line integral of a circle to get 2##\pi##r? Since a circle is a closed surface, shouldn't the line integral then be 0?

Bacterial antibiotic resistance gene found in China likely to spread worldwide, researchers say http://www.cbc.ca/news/health/antibiotic-resistance-colistin-1.3325942

Hi all I am running a NVT simulation for some structure and want to draw the phase diagram for T vs V. In my code I set some special value for temperature and also for volume. Also I have the analytic formula for my interaction potential. But I don't know how I can draw the binodal line for...

Homework Statement Three loads ZA = 10∠0° Ω; ZB = 15∠-30° Ω and ZC = 20∠45° Ω are connected in star across a balanced, 3 phase, 400 V, RYB supply. Determine (a) line currents (b) Phase Voltages (c) Neutral shift voltage, VON Homework EquationsThe Attempt at a Solution My query is that in...

Homework Statement Calculate the integral ##\oint_C \vec F \cdot d\vec S##, where ##C## is the closed curve constructed by the intersection of the surfaces ##z = \frac{x^2+y^2}{4a}## and ##x^2+y^2+z^2=9a^2##, and ##\vec F## is the field ##\vec F = F_0\left( \frac{a}{\rho}+\frac{\rho^2}{a^2}...

Homework Statement Hi! I'm trying to find the points of intersection of a sinusoidal function and a line. The line is y=x/7. The function is y=sinx. Can someone tell me how to determine the number of intersections and exact intersections. I would also like to know if the same method can be...

I am between selecting two gear pumps. One with .25 cu in at 2000 RPM or .38 cu in at 2000 RPM. In order for .25 cu into get the right flow, I will need to increase the speed to 3000 RPM. Gotta belt drive it either way. I have sized up a suction line of 7/8" I.D. that will get me a velocity...

Homework Statement [/B] Consider ##\mathbb{R}^3## in standard Cartesian co-ordinates, and the surface ##S^2## embedded within it defined by ##(x^2+y^2+z^2)|_{S^2}=1##. A particular set of co-ords on ##S^2## are defined by ##\zeta = \frac{x}{z-1}##, ##\eta = \frac{y}{z-1}##. Express...

I am having issues figuring out how to do the "in the direction of the vector" part of my problem I have found the equation of the tangent line but i do not know how to the the next part. My question asks: Find the equation of the tangent line to the surface defined by the function f(x,y) =...

Dear all, I am simulation a lossy transmission line like this: http://www.ece.uci.edu/docs/hspice/hspice_2001_2-2878.jpg with G having zero conductance (open). So it is a standard lossy transmission line with RLC components. All R, L, and C values are the same, so there is no variation from...

When using Bernoulli's equation and calculating Reynold's number which one do we use?

can a line (thickness only in 1 dimension ) be observed in real life ? since ,at micro level , even atoms have thickness, is it even possible to really construct a line or point or plane in reality?

Homework Statement The vector field ##\vec B## is given in spherical coordinates ##\vec B(r,\theta,\phi ) = \frac{B_0a}{r\sin \theta}\left( \sin \theta \hat r + \cos \theta \hat \theta + \hat \phi \right)##. Determine the line integral integral of ##\vec B## along the curve ##C## with the...

why do we consider normal line in expressing a plane,say in ##R^3## ,of the form ## ax + by + cz = d ##? What is the logic behind this normal line selection? Plz provide intuitive explanations.Thanks

axis A is always normal to plane of the circle and passes thru centre of circle axis B is always parallel to plane of circle and is always parallel to y- axis of lab frame. axis B passes thru centre of the circle the infinitely long line MN always lies on the plane of the circle and passes thru...

For a circle with radius R centered at R along the X-axis so that the edge of the circle touches the origin, what is the length of a line drawn between the origin and an edge of the circle in terms of the angle between that line and the X-axis? This isn't a homework problem, just something I'm...

Homework Statement A cup is represented by the surface -(z-1)2 + x2 + y2 = 1 and it is on a table represented by the plane z=0 a) find the angle at which the cup intersects the table b) find the equation of the normal line to the cup at the point (0, √2 , 2) c) find the equation the tangent...

Hello! I've encountered a problem of find all points (x,y) on $f(x)=\frac{x-\sqrt{\pi}}{x+1}$ where there are tangent lines perpendicular to $y=-(1+\sqrt{\pi}x+7\pi e^{e^{{\pi}^{110}}})$ So I first found derivative and ended up with $f'(x)=\frac{1(x+1)-(x-\sqrt{\pi})(1)}{x^2+2x+1}$ and then...

Hello In this problem I tried to find the voltage at 2Z0 (load) that is (landa/4) from generator.My result it is different from teacher's result.what is my mistake? (I named V1e as A point and V2e as B point so the voltage across the B point is (Vs/4) according to Zin=Z0 that is the same as Z0...

Two normal equations are given : 5a + 10b = 40 10a + 25b = 95 What is the regression line of y on x? I can easily find the common points from both the equations but how do I find the regression coefficeint?

Homework Statement Show that the component of the jerk along the line of centres of two gravitating bodies has magnitude 2G(m1+m2)r(dot)/r3. Homework Equations (Eq. 1) r(double dot) = - G(m1+m2)r(hat)/r2 (acceleration of body 2 relative to body 1) The Attempt at a Solution Sorry for the...

Homework Statement There is a rectangle in the x-y plane with dimensions H=1, L=2. Find a line or diagonal in the rectangle in which for every point in the shaded area below that line x>y. Homework EquationsThe Attempt at a Solution The line has to intersect a point in y=1 in which x>y. This...

from a bit of googling, i realize it's because the frame rate of the camera and the projector are different. however, i have tried recording videos with cameras of 60fps, 30fps and 15fps, and the projector is likely 60 fps. That's why I'm curious about this - which frame rate is faster (the...

Why is 1/3 considered a number line point when the decimal expansion never seems to stop at a point (if this is indeed the case)?

Homework Statement Find an equation of the line where the planes Q and R intersect. Q: -2x + 3y - z = 1; R: x + y + z = 0 Homework Equations Equation of a Plane: ax + by + cz = d, where \vec{n} = <a, b, c> Equation of a Line in R^{3}: \vec{r}(t)=<x_{0}, y_{0}, z_{0}> + t<x,y,z> The Attempt at...

I was doing some course work earlier today and noticed that I've seen two different equations for a line in 3D space. Usually the equation I use is: \vec r(t)=<x_{0}, y_{0}, z_{0}> + t<x, y, z> You plug in the various points with what the problem provides. However, a few times I have seen a...

Homework Statement Line perpendicular to a plane Plane: z(x,y)= 0.882531*x-0.346494*y+0.383108 P1(0.5;0.1;Z) P2(0.4;0.15;Z) Homework EquationsThe Attempt at a Solution z(0.5,0.1) = 0.7897 z(0.4,0.15) = 0.68414 vector n=ai+bj+ck vector P2P1 = (0.5-0.4)i + (0.1-0.15)j +(0.7897-0.68414)k...

Homework Statement I'm having problem of finding the point where the line of action intersect with CD , hot to do it ? Fx = -500cos60 - 250(4/5) Fy = 300 + 500sin60 + 250(3/5) FR = 991N Homework EquationsThe Attempt at a Solution

I was given the equation of a polynomial told to find the derivative. easy enough. Then asked to give the equation of the tangent line which I've only learned how to get in the form of the question: "find the equation of the tangent line at x=" They gave me the equation of a line parallel to...

Homework Statement [/B] A baseball pitcher throws a ball at a speed of 47m/s. When the catcher receives the ball, he pulls his hand back through a distance of 0.035m in the process of making the catch. What was the acceleration of the ball as it was being caught, assuming the acceleration was...

Homework Statement Hello, I have this function z(x,y) = sin(2*x)*cos(2*y)*e-(x^2+y^2)/6 I need to find an equation of any curve line that lies on that z(x,y) function. Homework EquationsThe Attempt at a Solution Sorry, I really have no idea how to proceed on this, been looking on my note book...

Homework Statement Could you help me with this one? "In a particle accelerator, an electron enters a region in which it accelerates uniformly in a straight line from a speed of ##4.00x10^5## m/s to a speed of ##6.00x10^7## m/s in a distance of 3.00 cm. For what time interval does the electron...

My professor did this question in class and I am a little confused. I wrote it down in my notes but I kind of don't understand it. The question is: Find theta 1/4 of the way through the flight of a projectile in time He does not give us numbers. Everything has to be solved algebraically. My...

Homework Statement Electrical force on a small positive charge q when it is placed in an electric field is given by F(r) = qE(r). Electric field is tangent at every point on a line of force. An analytical expression to plot electric field lines is given by E x dl = 0 Derive the following...

Homework Statement A student investigates the motion of a trolley as it rolls down a ramp ... a data logger records the time the beam was broken for and uses this to calculate the speed of the trolley. Experiment results are: Height of ramp (cm) / Momentum of trolley at the bottom 15...

Homework Statement An ideal transmission line is terminated with a load impedance of 90 ohms and has a characteristic impedance of 50 ohms. Why does it's S11 response trace out a circle on the smith chart? Homework Equations Z_{\text{in}}=Z_0\frac{Z_0+j Z_L \tan(\beta l)}{Z_L+j Z_0 \tan(\beta...

Homework Statement The figure below represents part of the performance data of a car owned by a proud physics student. (The horizontal axis is marked in increments of 2 seconds and the vertical axis is marked in increments of 10 m/s.) (a) Calculate the total distance traveled by computing the...

Find the equation of the line tangent to $$\sin\left({xy}\right)=y$$ At point $$\left(\frac{\pi}{2 },1\right)$$ Answer $y=1$ I didn't know how to deal with xy. No example given