Points Definition and 1000 Threads

Homework Statement A homogeneous cube of sides l is initially at rest in unstable equilibrium with one edge in contact with a horizontal plane (θ = 45 degrees initially). The cube is given a small angular displacement and allowed to fall. What is the angular velocity of the cube when one face...

Homework Statement hi guys this is an image of the rear wheel of a push bike going into a corner as well as what i think are relevant forces, i need to calculate the moments or torque at A (the contact patch) and B (the hub centre) this is to calculate the force on the left hand side of the...

Hi, I need some clarification on exactly which critical points are saddle points. The definition I am finding everywhere is that "A saddle point is a stationary point that is neither a local minimum nor a local maximum." My question is: what kind of minimum and maximum is the above definition...

Homework Statement Homework Equations N/AThe Attempt at a Solution The problem is that I don't get the right answer which is: 2x + y + 7z = -3. Can you please help me find where I went wrong?

Homework Statement In this question we consider the following six points in R3: A(0,10,3) B(4,18,5) C(1,1,1) D(1,0,1) E(0,1,3) F(2,6,2) a) Find a vector equation for the line through the points A and b b) Find general equations for the line from a c) Find a vector equation for the...

Homework Statement I have attached a circuit scheme from old textbook. Basically, there are 17 resistors which every has resistance R and we need to find the resistance between points A and B. (I added numbers to each resistor so it would be easier to communicate). Extra question of mine - is...

In order to increase production rate a reactor set point was increased from 160 psig to 190 psig. The reactor pressure transmitter was recalibrated from 0-200psig to 0-300 psig what is the percent span for old and new set points. Can you please explain to me how to find the answer. The book says...

Show that the explicit Runge-Kutta scheme \begin{equation} \frac {y_{n+1} -y_{n}}{h}= \frac{1}{2} [f(t,y_{n} + f(t+h, y_{n}+hk_{1})] \end{equation} where $k_{1} = f(t,y_{n})$applied to the equation $y'= y(1-y)$ has two spurious fixed points if $h>2$.Briefy describe how you would investigate...

Dear Experts! I currently have a sets of data with different time interval and I plotted it into MATLAB from excel. Is there a way for me export the files or calculate the mean, standard deviation etc so that I can calculate error etc. It would be great if I could do it in Matlab. I am...

Given a system's Lagrangian, How can we calculate the equilibrium points corresponding to the system? also how can we determine if that's a stable equilibrium?

Hello, I am supposed to find the equation of a parabola with the points (8,10)(11,10)(10,20/3). I have tried putting these values into y=ax^2+bx+c, but get different answers each time, like c=-160, which is not right! A step by step explanation would be greatly appreciated, as I am very unsure...

I've been trying to tackle this question for a while now, but I'm afraid it's not going anywhere without some outside help. So let's say we have some body falling towards a planet without any atmosphere, and let's assume that the initial velocity is not equal to zero. Given these conditions I'm...

If we are asked to place 3 points on the surface of a sphere so that they are equidistant, it's easy to visualize that the result will be such that the three points form an equilateral triangle. If asked to place 4 points it's easy to visualize that the result is such that the points arrange...

Polar Coordinates --- Graphing the points of when theta<0 Hi everyone, I'm working with an online graphing program desmos.com. It's great, and actually tons of fun. I'm currently working with polar coordinates but the only flaw of this grapher is that when working with polar coordinates...

ω = dΘ/dt if any points on a uniform disc have the same angular velocity then the corollary implies that any point on the disc must transverse 2π rad in the same amount of time. Is there a mathematical way to demostrate this or is this only demostratable purely by experiement?

Hi, I have to find examples,application about points which represent a rigid body.In the lecture dynamics of machines we call them substantial points. the points have a mass which is equal to rigid body for example a mechanism. to do this we use kinetic energy equalities...

Homework Statement Just started getting introduced to calculus and a couple applications. After I've found the stationary point i understand that i can put the x value into the second derivative to find if its a maximum or minimum point. i.e 12x-2x2 ƒ'(x)= 12-4x 12-4x=0 x=3 so...

Homework Statement Find and determine the type of singularity points for ##f(z)=\frac{\sin(3z)-3z}{z^5}##. Also calculate the regular and main part of Laurent series around those points.Homework Equations The Attempt at a Solution I am already having troubles with the first part. Singularity...

How do you calculate the intersection of discrete data points and an equation? Actually I have two ways already, one is to just take the equation of the discrete points then solve it using a root-finding technique. The other would be substituting the x values of the discretized points to the...

Homework Statement find the locus in the complex plane that satisfies z -c = p (1+it/1-it) c is complex, p is real t is a real parameter Homework Equations The Attempt at a Solution there is no answer in the textbook so i wanted to check my answer. I got a unit circle...

Hi, I'm asked to find and classify the singular points of a function w(z) in the differential equation: w''+z*w'+kw=0 where k is some unknown constant. The only singular point I notice is z=\infty. Is that right? I did a transformation x=1/z and examined the singular point at x=0 and found...

Hello, I am looking into finding geodesic distances for an ellipsoid. I will designate two points then find the distance between them. This will be my geodesic distance. I have put together a schematic (attached) for reference. Ultimately I need to know the distance D as shown on the...

I have an equation for determining the acceleration of an object being propelled by a constant power source, that is affected by air resistance: a = \frac{P}{mv}-\frac{CDpAv2}{2m} Since F = \frac{P}{v} I am trying to graph this as a velocity-time graph, however, I don't know how to do it...

Is there a simple way to make a function go through a set of points? Something similar to what I'm looking for is this; a function that creates a smooth curve crossing y=0 at a list of x-coordinates This will cross y=0 at x=-10, x=-2, and x=5 f(x)=(x-(-10))(x-(-2))(x-(5)) This is...

The set of all points \(P(x,y)\) in a plane, such that the difference of their distance from two fixed points is a positive constant is called? ellipse hyperbola parabola circle How do I work this out? Are the two fixed points supposed to be the foci? Wouldn't this also depend on the how one...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement Find the stationary point(s) and also find out whether the stationary point(s) are minimum/maximum z = 2x + 5y - 5y2 - 5x2 - 4xy - 1000 Homework Equations - The Attempt at a Solution I'm not 100% sure if I was correct and laid the answer out properly, can someone please...

The attachment provided shows a frame in which a large fan is to be rested on. The fan has a weight of 6,060 kg and the location of the centre of gravity is shown in the attachment. I would like to know how to calculate the loads at each point. Could anyone please provide some help on this problem?

Homework Statement See attached image Homework Equations they are provided in the image. I see the domain is used The Attempt at a Solution I can't figure out how they went from step one to step 2. where does the -81 come from and the 9 multiplied to the function in the middle. I...

Homework Statement Let A, B and D be points. If ##D\notin \vec{AB}## in a metric geometry, prove that ##\vec{AD}\cap\vec{AB} = \{A\}.##2. Relevant definitions Ray: If A and B are distinct points then the ray from A toward B is the set ##\vec{AB} = \overline{AB} \cup \{ C \in P \ | \...

(I am not sure if this is the right place to post it but since my solution involves some Calculus, I decided to post it here.) (Also, I am not well versed with the correct words and terms to be used while doing geometrical probability problems, I am sorry if I write something wrong. :o )...

Homework Statement For what values of a do the points (4,3),(-3,1),(1,a), and (1,5) lie on a circle? The Attempt at a Solution So my solution came down to getting the equation a(x^2+y^2)+bx+cy+d=0 Making a matrix with the first three points, doing R1-R4, R2-R4, R3-R4, then reducing the matrix...

Homework Statement The series circuit is connected as follows: A 12V Battery -> 8ohm resistor -> 7V Battery -> 4ohm Resistor -> Earth. The problem states that if a voltmeter was connected from a point between the 12V battery & the 8ohm Resistor and connected to a point above the Earth then...

This might be an unusual thread but is that i really can't figure out how to plot single points in 3D space using MatLab. I need to plot the points (1,0,0) , (0,1,0) and (0,0,1)

Here is the question: I have posted a link there to this thread so the OP can view my work.

Hello everybody. I'm new with Comsol and I'm working with the 4.3b version. I'm trying a simulation of a sphere (in 3D, of course) and I want to figure out in how many points is Comsol evaluating the ecuation. I know I set the maximum and minimum size of the tetrahedrals (I'm using tetrahedrals...

Homework Statement If E = 6000 V/m, find the potential difference between point X and Y! a. 2400 V b. - 2400 V c. 6000 V d. - 6000 V e. 3000 V Homework Equations E = V/d not sure for other equations The Attempt at a Solution The electric field of X and Y will be the same...

Homework Statement Prove that a line in a metric geometry has infinitely many points.2. The attempt at a solution I can't use any real analysis, like completeness. I can only use geometry to prove this, specifically distances and rulers. Intituvely I understand why. Any segment with at least...

Hi, I have an involute gear and measured co-ordinates of two arbitrarily chosen points (on the involute portion) of a tooth. Can I find out the base circle with this information? Thanks.

Differential Equation ---> Behaviour near these singular points Homework Statement Problem & Questions: (a) Determine the two singular points x_1 < x_2 of the differential equation (x^2 – 4) y'' + (2 – x) y' + (x^2 + 4x + 4) y = 0 (b) Which of the following statements correctly describes...

The question was too long to post in the title so I just wrote down the first part. I hope this is alright. Here is the question that I am doing right now: This is the graphical representation (thanks to Desmos Graphing Calculator): So I have substituted the points in the equation to get...

Homework Statement See attached for problem Attempt at solution ∂f/∂x = 3x2+12x ∂f/∂y = 3y2-12y Factorise x(3x+12) x=0 or, 3x+12 = 0 → x= -4 y(3y-12) y=0 or, 3y-12=0 → y=4 I find the next stage difficult, because there are no mixed terms in the polynomial any of the values i...

In set theory a set is defined to be a collection of distinct objects (see http://en.wikipedia.org/wiki/Set_%28mathematics%29), i.e. we must have some way of distinguishing anyone element from a set, from any other element. Now a topological space is defined as a set X together with a...

The line with equation y = x + k, where k is a real number, intersects the parabola with equation y = x^2 + x − 2 in two distinct points if I first made the equations equal each other x + k = x^2 + x − 2 0 = x^2 -2 -k From here i thought you use the discriminate a=1 b=o c=-2-k but this...

To quote Goursat: Would somebody mind developing some intuition for this statement, along with an example or four (if not an intuitive proof), that would help motivate me to pick up classical books on analytical geometry & encourage me to wade through hundreds of pages to get to results like...

In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation. We learned how to solve these equations with power series using the Frobenius method. I was wondering what happens when there is an irregular singular point, like...

Homework Statement Homework Equations The Attempt at a Solution Excuse me for the large images. I figured it would be easier than re-writing it all and wanted to show what I've been doing. I know my work isn't too clear, but in short, I haven't dealt with a problem involving...

Homework Statement . Let ##S==\{\frac{1}{n}+\frac{1}{m}, n,m \in \mathbb N\}##, find all the accumulation points of ##S## and decide whether ##S## is compact or not. The attempt at a solution. I've found that the points of the form ##\frac{1}{n}## and ##0## are accumulation points. For the...

Homework Statement I had a Young's Modulus experiment in lab. Our specimen, which was used, was mild steel. After plotting the graph I realized that there was only one yield point. However, as I read from many sources, there must be two yield points for mild steel(upper and lower). I am pretty...

Homework Statement I am trying to determine at what points the given potential difference will be using v=k(q2)/r2-k(q1)/r1. I know the location of both q1 and q2 using cartesian coordinates, as well as, there magnitudes which I have set each to one. q1=(1,0) q2=(-1,0) Homework Equations...