What is Line: Definition and 1000 Discussions

http://postimg.org/image/onxjqc26l/ I have found the shear stress of the inner cylinder to be 405 Pa like in the solution but I am having trouble visualizing the total moment of this stress about the center line. I was wondering if someone could explain where that d(theta) in the moment...

Could someone please check my work? Thanks :) A cyclist rode east for 1.0 x 10^2 m with a constant velocity of 25.0m/s. She then accelerated down a hill, and 5.0s later reached the bottom of the hill with a velocity of 50.0m/s. a)How long did the cyclist ride before reaching the hill...

for the line y=4x-2 there is one perpendicular line of which will enclose a triangle on the lines and the values of the y-axis whose area is 8. What is the equation of this line? Well, I chose the x value to be the height of the triangle and that would make the base B=(4x-2)+2+\frac{1}{4}x or...

Homework Statement On pages 65-66 of Calculus An Intuitive And Physical Approach, Mr. Kline discusses Inclinations of lines. In illustration 3A-7 he uses the substitution method to create a proof. But there is one step that I think he leaves out. He shows the equation tan A = tan(180 - B) =...

I have been told that if the line connects breaker to breaker, it is considered to be radial; but, this doesn't make sense to me. If a line is connected by two feeders then there would be two sources of power, hence "Radial". I'm not sure if I'm missing some minute detail that makes the whole...

Homework Statement At time t=0, a particle is located at the point (1,2,3). It travels in a straight line to the point (4,1,4), has speed 2 at (1,2,3) and constant acceleration 3i-j+k. Find an equation for the position vector r(t) of the particle at time t. Homework Equations The...

Hi, I'm working on a project to make a fault locating system on HV and MV (11kv to 220kv, 33kv first). I'm try to make a device that can be directly mounted to the line (Mount on live bare conductors) to detect the fault in the power line and send a radio signal to devise mounted on the pole...

"In a private project of mine, I have come across a challenging problem. I have 3 points: A, B and C. A is the motionless point of origin and C is the orbital point of destination. B is the linear transmission between the two; it must intersect with the changing position of C after leaving A...

Homework Statement Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Homework Equations x = 1+2 \sqrt{t}, \quad y = t^3 - t, \quad z = t^3 + t, \quad (3, 0, 2) The Attempt at a Solution I began by...

I have a rotated ellipse, not centered at the origin, defined by x,y,a,b and angle. Then I have a segment defined by two points x1,y1 and x2,y2 Is there a quick way to find the intersection points? I used wolfram alpha equation solver, I tried to insert the equation of a line into the one of a...

So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve, however, I really do not see how you can obtain each infinitesimal rectangle from the dot product. I have understood the typical work example, that is, the line integral as the sum...

Homework Statement Determine the magnitude of the projection of force F = 700N along the u axis. Homework Equations Cosθ = (A • B)/(||A|| * ||B||) The Attempt at a Solution I'm guessing I have to use the above equation, but my problem is finding the B vector. A is easy enough...

I am not talking about Digital circuit ground bounce on PCB. How do I simulate a Ground bounce for a system that runs on 220V AC. In real field conditions, the system might be connected to different grounds. How do i replicate this in the lab. Can I have a SPDT relay between GND1 & GND2...

Homework Statement A line is inclined at equal angles to the x-, y-, z- axes and passes through the origin. Another line passes through the points (1,2,4) and (0,0,1). Find the minimum distance between the two lines.Homework Equations d=|(r2-r1).n(hat)| The Attempt at a Solution r1=i+j+k...

Say we have two functions with the following properties: f(x) is negative and monotonically approaches zero as x increases. g(x,y) is a linear function in x and is, for any given y, tangent to f(x) at some point x_0(y) that depends on the choice of y in a known way. Additionally, for any...

I would like to think that I understand how 4-velocity is defined in special relativity. It makes sense to me that one takes a differential segment of the world line ##(dt, d\vec x)## and translates it into a frame in which its spatial component disappears, leaving only ##(d\tau, 0) =...

Please help, how do I do this? Find the parametric and symmetric equation for a line through (1,-1,1) and parallel to $x+2= \frac{1}{2}y=z-3$ So confused

while drawing the dc load line , , we take VCE = 0 and mark it as saturation point but but in saturation state VCE is very small but not zero..! I actually want to make clear that whether its a fact or is it just an assumption to find out saturation point..?? similarly for the cutoff point we...

Homework Statement Starting from rest, a particle moves along an x-axis from point A to point B with constant acceleration a1 = 2.20 m/s2 through displacement d1 = 500 m. Then it slows at constant acceleration a2 through displacement d2 = 300 m from point B to point C where it is again at...

Hi guys, I was playing around with conductor configurations and observed this phenomenon. Mind you these are for the High voltage transmission (138 kV) lines that span kms. So apparently, the orientation of the conductor relative to North will change the ampacity of the transmission line. Can...

Homework Statement Problem statement: An infinitely long, straight line has a uniform charge distribution of ρ C/m. Use Gauss' law to find the electric field at a point r m away from it. Solution: Consider a cylindrical volume of height ℓ with circular cross sectional area of radius r...

Homework Statement Find the mutual inductance between a coil with N loops and an infinite straight line with current I on its axis. Homework Equations M12 = M21 = flux 1/I 2 = flux 2/ I 1 emf = -d/dt flux i = emf /R R = eta*l/S The Attempt at a Solution I have done this...

I know it's long but I really need help. I'm terrible at math. Anyway, given only a start and end point, I'm trying to draw a line by creating a number of points at regular intervals between those start and end points. This is what I have so far (it's from C# code so I hope it's not too hard to...

Is there a formula that will give me the equation for the line of best fit of a data set, the line being a 6th degree polynomial? I know how to graph the table and add a line of best fit while showing the equation but as far as I know the equation cannot be used in the given format in excel. If...

Homework Statement Figure shows a 50 Hz, high-voltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations: V_S = V_R (A_1+jA_2)+I_R (B_1+jB_2) I_S = V_R(C_1+jC_2)+I_R(D_1+jD_2) where 'S' stands...

Can two objects have same world line in Minkowski Space, if they are having same speeds ?

Hi all, Firstly, hope I'm posting in the right place! I'm working with a company that works with air filters. Without going into specifics etc, I have 4 data points: | x | y | |0mm|21%| |150mm|59.6%| |300mm|83%| |550mm|90%| where x is Filter Height and y is Filtration...

Hi Here is the number for the measured frequency for hydrogen 1s to 2s transition: 2 466 061 413 187 035 Hz By way of interest, what is our most accurate theoretical calculation of this number? I've tried the ordinary Bohr formula and it is only accurate to about 4 places. I'm also...

Homework Statement ##\nabla{F} = <2xyze^{x^2},ze^{x^2},ye^{x^2}## if f(0,0,0) = 5 find f(1,1,2)Homework Equations The Attempt at a Solution my book doesn't have a good example of a problem like this, am I looking for a potential? ##<\frac{\partial}{\partial x},\frac{\partial}{\partial...

In need of help. Ill write it is how it is in the textbook. Find the equation of the line having gradient 3/4, that passes through 7,11. Express your answer in the form i) ax + by + c =0 and ii) y = mx + c As one point and the gradient are known, use the formula: y - y1 = m(x-x1)...

Homework Statement ##\int_\mathscr{C} \vec{F}(\vec{r})\cdot d\vec{r}; \vec{F}(x,y,z) = <sin z, cos \sqrt{y}, x^3>## I am assuming ##\vec{r}## is the usual ##\vec{c}## used, so maybe this is where I am incorrect The Attempt at a Solution C goes from (1,0,0) to (0,0,3) Parametrizing...

find the values of k and m so that the line x+1/k = y-2/m = z+3/1 is perpendicilar to the plane through the points U(1,3,8) , W(0,1,1) , and v(4,2,0).PLEASE HELP ME THANKS ALOT :)

I could not find a thread about this (and I hope I don't start a duplicate one :smile:). I got a mail from a friend today about this: Detection of An Unidentified Emission Line in the Stacked X-ray spectrum of Galaxy Clusters Esra Bulbul, Maxim Markevitch, Adam Foster, Randall K. Smith...

Continue reading...

Definition/Summary In Euclidean coordinate geometry, a Line usually means the whole (infinitely long) Line. (In ordinary Euclidean geometry, a Line usually means a line segment between two points.) The equation of a Line in n dimensions is a combination of n-1 linear equations of the...

I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached image shows, all three integrals (with respect to dx, dy, dz) are evaluated as follows: $$\int_{x_a, y_a, z_a} ^ {x_b, y_b, z_b}$$ . I am not sure how to proceed with such limits...

I have an object (A) at some altitude above the Earth ellipsoid, and a point (B) on the surface of the Earth. Since you're not confined to the surface of the Earth as you travel from A (at altitude), to B, I'm getting confused. If I were to create a (Cartesian) vector pointing from object...

Homework Statement Hi! I am doing some problems to practice for a math competition, and I'm wondering if I did this correctly. I don't really have an answer sheet, so I have no way of knowing whether I'm right. If you would please review it, that would be cool! It reads: There are...

Hi All, Thank you for taking your time to look at my question. I am a web developer and have created a online system that produces graphs but cannot understand how the line of best fit (trend line) is calculated. On paper its easy, just draw it with your hand in between the two lines. But I...

It is given in my book that " If the spectral lines are expresses in terms of Wavenumber, then the visible lines of the Hydrogen spectrum obey the following formula: Wavenumber = 109,677(1/22 - 1/n2) Here, I cannot understand that how can the visible lines be expressed in terms of...

I have found the 2D Fourier transform of a figure and then changed it to a binary image (attached). I want to find the line of best fit through the longest "axis"? of this figure. What would be the simplest way to accomplish this?

Homework Statement Q: Does the graph of f(x) = x^(1/2) have a point of tangency with the line y = (x/4) + 1? Homework Equations lim x->a (f(x) - f(a)) / (x-a) The Attempt at a Solution If the limit exists of the relevant equation than there is a point of tangency. So I'm...

Homework Statement Show that if σ(t) for (t in I) is a parametrization of a line, then σ''(t) is parallel to σ'(t). Homework Equations The Attempt at a Solution I thought that if σ(t) is a parametrization of a line then it could be expressed as σ(t) = vt + a, but then σ'(t) = v...

Homework Statement Three point charges, q1, q2 and q3 all on x-axis (i.e y=0 and z=0) +q1 at x = 0 -q2 at dist from origin x = a +q3 at dist from origin x = -2a where q1, q2 and q3 are magnitudes of the charges. Assuming q1 = q2 derive magnitude of q3 in order for there to be zero net force on...

Hi guys & girls, I'm using Google maps coordinates to draw a line and want to divide the line by its length, giving segments where the length of each segment is equal to 1. EG: P1 p1.lat = 54.97435323116719 p1.lng = 54.9742647135445 P2 p2.lat = -1.6116368025541306 p2.lng =...

Hi guys, I have a really tricky problem here and I'm hoping that there is a math guru here who can help. The problem Using Google maps, I need to allow a user to draw a line. This line can be in any direction and basically, I need to determine if the user has drawn the line over a road and if...

Homework Statement Erik’s disabled sailboat is floating stationary 3 miles East and 2 miles North of Kingston. The sailboat has a radar scope that will detect any object within 3 miles of the sailboat. A ferry leaves Kingston heading toward Edmonds at 12 mph. Edmonds is 6 miles due east of...

The base of a solid is the region bounded by the parabola y^2=4x, and the line x=2 . Each plane section perpendicular to the x-axis is square. (I assume this means the cross-section of the solid will be square) then we are not revolving but slicing. The volume of the solid is? (the ans is...

The line starting at $\displaystyle \begin{align*} \left( 0, 0, 0 \right) \end{align*}$ and ending at $\displaystyle \begin{align*} \left( \frac{1}{3}, \frac{\pi}{2}, 1 \right) \end{align*}$ can be expressed in a parametric (vector) form as $\displaystyle \begin{align*} \left( x, y, z \right) =...

given: a plane with normal N and a point on the plane P. a line from A to B that intersects the plane but is not coplanar. Find the point C on the line that is X distance away from the plane (along the plane's normal, meaning the shortest line that can be drawn from the point to the plane)...