Curve Definition and 1000 Threads

Hello, I'm currently working on an assignment which requires me to choose an optimal curve of power generation based on data points generated by a script I wrote (attached for reference, TideHeight1s is the source data for the script, the txt file contains the code for the .m script). The...

Hello all I am trying to work out the forces involved of a moving train around a curve traveling at a constant speed. I have the following:- The image on the left is a cross section of a train traveling around a curve, you can think of the train moving away from you. The image on the right...

Hello, I'm trying to obtain a polarization curve for a fuel cell (two electrodes in HCl). From what I've seen in literatures, current is applied and the voltage is measured. Is it still the same to change the voltage and measure the current instead? For some reason our equipment only have the...

I was solving problems about the period of a pendulum inside an elevator. They're all the same. If the elevator accelerates upwards you have that the period is shorter and it's longer if the direction is downwards. But I tried to solve something more difficult and I thought about a pendulum...

Summary: Consider a train carriage rolling along a curve that forms a left turn on the track. The carriage speed is directed along the y-axis (into the plane of the paper) in the figure. The trolley will have a tendency to curl in the curve in the specified direction. A flywheel is inserted...

Ok so I think that the equation for centripetal force is the mv^2/r and this SHOULD equal the horizontal component of the normal force on the car. Vertical component of normal force and gravity would cancel out. However, when I input the numbers into the equations I don't get equivalent values...

Honestly I don't know where to begin. I started differentiating alpha trying to show that its absolute value is constant, but the equation got complicated and didn't seem right.

This question has been bothering me for a long time. It is simple enough to determine whether or not a curve is timelike. You simply use this formula: gab(dxa/ds)(dxb/ds) (where x(s) is our parameterized curve). Assuming a (- + + +) signature, if the answer to the above summation is negative...

Continuing on from the summary, the chapter has given a graphed example. We are shown a regular cosine wave with phase angle 0 and another with phase angle (-Pi/4) in order to illustrate that the second curve is shifted rightward to the regular cosine curve because of the negative value. Now, my...

Homework Statement: Below graph shows the I - Vg curve for different MOSFET, which curve is impossible for MOSFET? Homework Equations: I - Vg I am inclined to select 1), as it is not likely to have a sharp transition from subthreshold to Quadritica region. However, graph 5 also looks strange...

Find the slope of the tangent line to the graph of $$f(x)=-x^2+4\sqrt{x}$$ at $x=4$ (A) $8-$ (B) $-10$ (C) $-9$ (D) $-5$ (E) $-7$

I've been refurbishing my understanding of some relativistic concepts and I've been specifically studying the concepts of spacelike, timelike and lightlike curves. According to the notes that I have been reading, curves on a Lorentzian manifold can be classified as follows: If you have a...

So ##T+U=\frac{1}{2}m(\dot{x}^{2}+\dot{y}^{2})-mgy=constant##. If I derive this with respect to ##t## $$\dot{x}\ddot{x}+\dot{y}\ddot{y}-g\dot{y}=0$$ Then I use ##\dot{y}=\dot{x}\frac{dy}{dx},\ddot{y}=\ddot{x}\frac{dy}{dx}+\dot{x}^{2}\frac{d^{2}y}{dx^{2}}## to get...

This is just a conceptual question. I get that when a car is turning on an unbanked curve, the friction provides the centripetal force. I don't understand why this is though. I thought friction is supposed to oppose the direction of motion. But that would imply that the direction...

The question says that the process is melting, so temperature must increase. Hence, Delta T > 0. Also, it is given that the slope for its fusion curve is -ve, which means that as we increase temperature, the pressure will decrease. So, Delta P < 0. The question asks to prove that the substance...

Please see attached illustration (from Discover September 2004. Einstein 100 years special issue). Is it correct that one key to Einstein's thinking is to analyze a spnning disk. That "Since the rim of the disk travels faster than the center of the disk, the theory of relativity states that the...

Hi, consider the following curve: f(\theta) = \frac {I_0sin^2(n\theta/2)}{sin^2(\theta/2)} When the area over a cycle from ##0## to ##2π## is evaluated it gives ##(2πnI_0)##. This is exactly ##\frac {I_{max} + I_{min}}{2}## , since ##I_{min}## is ##0##. Is this a coincidence, or is...

I only need help with how to find the component of gravity along the curve. See image.

I would like to use a known area and values on the x-axis to generate a gamma curve to obtain y values. Please point me in the right direction. A = 0.07 m^2 Values on x axis 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.3 1.4 1.5 1.6 1.7 Thank you!

Hello guys (and girls), I'm trying to determine the dark phase of a type Ia supernovae. In order to do that I need to calculate the photosphere's velocity. So I'm trying to determine the redshift of the Si II in the spectra, by finding the minima in the absorption line. But what kind of...

I am trying to develop an equation or algorithm to determine the roulette curve that results from rolling a curve over another fixed curve. A general method to determine the roulette using any two curves, rolling and fixed, seems to be presented here...

Homework Statement Use Desmos to graph the spiral ##r=\theta## on the interval ##0\leq\theta\leq4\pi##, and then determine the exact length of the curve and a four decimal approximation. Hint: ##\int \sec^3(x)dx=\frac{1}{2}\sec(x)tan(x)+\frac{1}{2}\ln\left|\sec(x)+\tan(x)\right|+C## Homework...

COD stands for co-ordinate. As the title says, you have two co-ordinates of a point, x and y, on a unit square. What's the formula for converting these two co-ordinates into a single Hilbert curve co-ordinate? Which represents the percentile along the length of the Hilbert Curve that point is on.

<Moderator's note: Member has been informed to separate different question into different threads in the future.> 1. Homework Statement Please see picture attached... The diagram shows the curve with equation y = f (x) The coordinates of the minimum point of the curve are (–2, –1) (a) Write...

Homework Statement Homework EquationsThe Attempt at a Solution I don’t have a clue on how to do the calculations. I know the equivalency point is at the steepest part of the derivative graph. Please don’t say just figure it out, I truly need help. I haven’t learned titrations in lecture yet...

Recently I have studied that from the rotation curve of spiral galaxies, the nearly constt. behaviour of velocity of the stars situated far away from the central core suggests mass(r) ~ r ,rather than 1/√r as expected. Are there any other theory which proves the existence of dark energy ??

In 2-D Cartesian coordinate system let's there exist a scaler field Φ(x1,x2) ,now we want to find how Φ changes with a curve which is described by the parameter(arc length) s dΦ/ds=(∂Φ/∂xi)dxi/ds Can we say for Cartesian coordinate system that along the curve at any s dxi always points in the...

Homework Statement I have to find length of the curve: y2 = (x-1)3 from (1,0) to (2,1) Homework Equations s = ∫ √(1 + (f '(x) )2 ) dx where we have integral from a to b The Attempt at a Solution I'm bit confused: I'm thinking of writing function regarding x, f(x)...

I'd like to plot a Bragg curve for an alpha particle in air. I'd like to make one plot for 239Pu (5.156 MeV alpha) and one plot for 238U (4.267 MeV). Does anyone know how I can do this? I would like a basic plot of stopping power (MeV/cm) vs path length (cm). Thank you

Hi all I was wondering if someone could help explain what the area under a load vs deflection curve tells you. I have a concrete sample which I loaded until it failed. I plotted the load (kN) and deflection (mm) as shown below. My question is; if the curve in red can be represented as a...

Homework Statement Let ##U## be a plane given by ##\frac{x^2}{2}-z=0## Find the curve with the shortest path on ##U## between the points ##A(-1,0,\frac{1}{2})## and ##B(1,1,\frac{1}{2})## I have a question regarding the answer we got in class. Homework Equations Euler-Lagrange ##L(y)=\int...

is it possible to draw a random curve on a piece of graph paper and find the function that defines that curve? Assuming smooth curves. And if so,is it possible to do so with complex curves? tex

I drew a diagram in order to help figure out something for a tabletop game I'm putting together. My question is about the physics of materials, and is not directly about the fictitious psychic/magic abilities in my game world. I drew a diagram consisting of dots representing particles and...

Hi people, I am looking for a database where I can get raw data to plot the Bragg's curve for alpha particles energy loss vs range in Silicon, Germanium and CZT. Your help will be much appreciated. Cheers, Shri

Homework Statement Parameterize the part of the curve which allows an equilateral triangle, with the height 3R, to roll from one vertex to the next one, while its center travels at a constant height. Homework Equations I will include some pictures to show what I'm doing The Attempt at a...

Please see attached image. When we want to find the area under a curve, we can use the formula ##A = \int_a^b\left|g(x)-f(x)\right|dx## where g(x) is greater than f(x) and both are continuous over the closed interval ##[a,b]## My text, as seen in the picture, described the area under the curve...

I know that scanning tunneling microscopy (STM) I-V curve is exponential for a conducting sample. How would it look like if I had a semiconductor and a non-conductor sample?

May I know how to solve the equation as below: (1) y2 = x3 + x + 1 mod 17 Finding Inverses Finding Points on the Curve (2) y2 = x3 + 3x + 1 mod 13 Finding Inverses Finding Points on the Curve

Please help in the explanation of BH curve (See attached file). At the starting point, more current is required to bring the material to its magnetic saturation point( in fig form origin to pt.a shown by purple line ) as compared to when the material is fully demagnetized and then brought to...

Homework Statement Write the equations of tangent lines to the curve of the implicit function x2+2x+2y2-4y=5 that are normal to the line y=x+122. The attempt at a solution I know that the slope has to be m=-1 I found the derivative using implicit differentiation: dy/dx=(-2x-2)/(4y-4) Now I am...

Homework Statement If I have the two curves ##\phi (t) = ( \cos t , \sin t ) ## with ## t \in [0, 2\pi]## ##\psi(s) = ( \sin 2s , \cos 2s ) ## with ## s \in [\frac{\pi}{4} , \frac{5 \pi}{4} ] ## My textbook says that they are equivalent because ##\psi(s) = \phi \circ g^{-1}(s) ## where ##...

Homework Statement I need to obtain the equation of 2 paraboloids separated by a distance L. Homework Equations I think that the equations should be: z_1=x^2+y^2 z_2=x^2+y^2-L The Attempt at a Solution The problem is that when I plot the region between two inequations, x^2+y^2>=z and...

I am very new too Matlab and how it all works but I am having trouble understanding at what axis the numerical integration is occurring from on the graph that I plotted. So I am currently doing an experiment in gamma ray spectroscopy and due to issue with the software we found it hard to...

Hi all I was hoping someone could shed some light on the following:- I am trying to understand what Yield strength is and understand the exact limit of where elastic and plastic deformation occurs on a stress strain curve. Correct me if I am wrong but I define:- Yield strength as the amount...

Hi, I'm stuck on a homework problem in my Calculus III class. I solved 3a really easily, but 3b is giving me a lot of trouble. I know that to find the tangent line, I first have to find the slope, which is represented by the vector: <3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>. I know the formula...

Homework Statement A car rounds a level curve of radius 100 meters at a constant speed of 30 m/s. What is the magnitude of the acceleration of the car? Homework Equations C = 2piRThe Attempt at a Solution I calculated the circumference as 628m. Besides that, I'm ignorant of the procedure to...

Homework Statement Variables are all given as arbitrary constants Homework Equations W=∫F⋅dl y=½bx^2 μ=cx^2 The Attempt at a Solution The obvious force action on the object is the downward gravity force. I don't see how to calculate the force that 'moves' the object down the curve or the...

When two magnets already sticked to each other being pulled apart, energy is applied, so I assume that the energy is stored like some sort of potential energy which will be turned back into kinetic energy when they accelerate towards each other to stick back together. So the magnet itself...

Homework Statement The graph of ##y^2 + 2xy + 40 \mid x \mid =400## divides the plane into regions. The area of the bounded region is? Homework Equations All relevant to calculus The Attempt at a Solution My question is how to predict the graph without using a grapher here? I put x and y=0 to...

Homework Statement f f Homework Equations ##a = {v^2}{r}## ##d = vt## The Attempt at a Solution The way I do it is break it down into the curved and straight segment. The bicycle is always traveling at a constant speed. Curved portion: distance ##\frac{\pi R^2}{4}## acceleration ##=...