Joint Definition and 297 Threads

Homework Statement I got part A of the problem right. I am stuck on part B. As you can see, they ask for the reactions at B, D and E.[/B]Homework EquationsThe Attempt at a Solution OK, here's the book's the answers: at D, 350N k. At E, -100Nk, and at B -250N k. So, we have a 50Nm torque...

Hello,I just graduated from high school and i will be starting university in fall 2016 at the University of Manitoba in Canada. They have a joint degree program in physics and computer science which is a program I'm considering since, I enjoy studying about both disciplines. I would like your...

For random variables (X,Y) = (R*cos(V),R*sin(V)) I have R_PDF(r) = 2*r/K^2 and V_PDF(v) = 1/(2*pi) where (0 < r < K) and (0 < v < 2*pi) Is XY_PDF(x,y) the joint density of X and Y that I get by using the PDF method with Jacobians from the distribution R_PDF(r)*V_PDF(v)? So without having...

Not so much homework question, more about experience doing homework. You have likely had experience writing lab reports quite long. I have a partner and I am worried that he is doing what my university would consider plagiarism. I've asked him about it and got nothing back. To give context he...

I want to make a simple slider crank mechanism. I don't know what type of bolts or whatever is used for movable arms. I've heard online so far that using a carage bolt and nylon lock nut will work, but I bet there's probably other ways to make a movable joint. Something more secure. I'm sure...

I am currently doing aops introduction to algebra book and I can't figure out how to solve joint proportion or some ppl call it joint variation. I don't which values should i substitute for the formula, z=kxy. I don't which value should i substitute into z to the word problems. I can get through...

Hello all I have this question I am trying to solve. In an urn there are 6 balls, numbered: 1,2,3,4,5,6. We take 4 balls outs, without replacement. X - the minimal number we see Y - the maximal number we see I need to joint distribution. I understand that X is getting the values 1,2,3 while...

Homework Statement Determine ##P(X<Y|x>0)## Homework Equations X and Y are random variables with the joint density function $$ f_{XY}(x,y)= \begin{cases} 4|xy|,-y<x<y,0<y<1\\ 0,elsewhere \end{cases}$$ The marginal densities are given by $$ f_X(x)=2x\\ f_Y(y)=4y^3 $$ The Attempt at a Solution...

Homework Statement Compute the joint cumulative distribution function $F_XY(x,y)$? Homework Equations The marginal distribution function $F_X(x)$ \begin{equation} F_X(x)=P(X\leq x)= \begin{cases} 0,x<0\\ 0.6,0\leq x<1\\ 1,x\geq 1 \end{cases} \end{equation} and $F_Y(y)$ \begin{equation} F_Y=...

Hello. This is the first post on this site I'm making outside of the "New member welcome" part, and I intend on getting right down to why I'm here: I would like to know of any possible designs or methods by which to build a mechanical ankle joint capable of holding at least 500 US pounds, and...

Homework Statement The joint probability density function of X and Y is given by f(x,y)=(6/7)(x^2+ xy/2) , 0<x<1, 0<y<2. (a) Find the pdf of X. (b) Find the cdf of X. (c) FindP(X<.5). (d) Determine the conditional pdf of Y given X = x. The Attempt at a Solution a) the pdf is what is...

Hi, I'm in a bind trying to determine how to handle impedance matching through a joint of copper wire sandwiched between two 50-ohm coaxial cables (the joint is an interface between atmosphere and a UHV system). There is a signal pulse with a rise time of 2 ns coming through one of the coaxial...

Homework Statement E = { (x,y) | |x| + |y| ≤ 1} fx,y (x,y) = { c (x,y) ∈ E 0 otherwise } Find C. Find the Marginal PDFs Find the conditional X given Y=y, where -1 ≤ y ≤ 1. Are X and Y independent. Homework Equations I'm taking a guess here in the solution... but F(x,y) = F(x)F(y) and...

Does anyone know a manufacturer or supplier of joints like the one shown here: https://grabcad.com/library/universal-joint-graphite-bushes The main feature I'm looking for is the counterbores at the ends that allow mounting to a flat plate. Almost all the ones I've found are made for...

Homework Statement Consider two random variables X and Y with joint PMF given by: PXY(k,L) = 1/(2k+l), for k,l = 1,2,3,... A) Show that X and Y are independent and find the marginal PMFs of X and Y B) Find P(X2 + Y2 ≤ 10) Homework Equations P(A)∩P(B)/P(B) = P(A|B) P(A|B) = P(A) if independent...

Homework Statement 4. Let X and Y have the joint probability distribution (a) Find P(X +Y ≤ 4). (b) Find the marginal probability distributions f1(x) and f2(y). (c) Find P(X < 2|Y = 2). (d) Are X and Y independent? The Attempt at a Solution a) f(1,1) + f(1,2) + f(1,3) + f(2,1) + f(2,2) +...

Homework Statement A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X...

Hello all, I need help identifying the following pivoting joint, and also coming to an understanding of how this particular joint works and is designed... Thanks for your help!

With X having the exponential $(\lambda)$ distribution and $Y = X^3$, how do I compute the joint cumulative distribution function? Here is how far I've come: $F(x,y) = P(X ≤ x, Y ≤ y) = P(X ≤ x, x^3 ≤ y) = P(X ≤ x, X ≤ y^{1/3}) = P(X ≤ min(x, y^{1/3})$, $f_x(x) = \lambda e^{-\lambda x}$$ for...

Hello, I'd like someone to double check my maths please, it wasn't the greatest at school and that was a few years ago! If I am incorrect could you please tell me the correct answer as well as show me how to apply it so I can figure out similar problems myself. Thanks. Yes, this is about...

Hi, I have a quick question. If both X and Y are uniformly distributed on the unit interval [0, 1]. Can we prove that the joint distribution of (X, Y) is uniform on the unit square [0, 1]×[0, 1]? Do we need any condition to ensure the result, such as Independence between X and Y? Thanks.

This technically isn't a coursework or homework problem: I have a uniform Joint density function for the lifetimes of two components, let's call them T1 and T2. They have a uniform joint density function, both are positive it follows, and the region is 0<t1<t2<L and L is some positive constant...

PF Family, What is a good way to increase my chances of getting into a joint PhD/JD program. I'm physics major with a 3.86 GPA, a rising junior, and have plenty of math electives (if that helps). I am currently in an REU program at my school, and we are doing climate modeling. I am also doing...

Hi everyone, I am making a hexapod ( six legged walking mechanism ) which walking by keeping 3 alternate legs in air and other 3 on ground, pushing the body ahead, also known as tripod gait. The basic structure of model and one leg are shown in the pictures. I want to calculate the torque...

Hi dear friends. I have a big problem and I need your help, I've realized that the joint connection I've drawn (and it is made already) was (most probably) wrong. There is a plate that is bolted to two U beams and the plate is welded to a horizontal I beam at the top. Please take a look at the...

I need help guys I can't understand this Can anyone explain thoroughly how do I form the range for this question? f(x,y)= e-x for 0≤x≤y≤∞ 0 Otherwise Find P(x+y≤1) I attempted this by integrating through the range of 0≤y≤(1-x) and 0≤x≤∞ but that...

Hello, Homework Statement The joint probability density function of X and Y is given by f(x,y)=c*1(|y|<x<1) 1 is the indicator function -Find c -Find the marginal densities of X and Y -Find the means, variances and the covariance -Find conditional densities, means and variances of X given...

I'm looking for some info/guidelines on designing bolted joints that are made to move with some resistance/friction...all without loosening the bolt. Think of a legs of a camera tripod; the legs can rotate in and out with resistance, but they never loosen. It seems the basic idea is that the...

Homework Statement Pay attention that the left support A is a fixed axis and the right, B, is a free moving axis. C is a joint. The left beam (to the joint): 2m, 6[kN], the right beam: 3m, 10[kN]. What is the force F. Homework Equations Moments: ##M=F\cdot L## The Attempt at a Solution To...

Homework Statement The problem and its solution are attached in the TheProblemAndSolution.jpg file. Homework Equations E(X) = integral from -infinity to infinity of x * ##f_X(x)## ##f_X(x)## = integral from -infinity to infinity of ##f_{XY}(x,y)## dy The Attempt at a Solution Basically, how...

I'm having difficulties reading this, could someone please explain to me? 2 coins Ω = {HH, HT, TH, TT} 0 = Tails 1 = Heads PX,Y(x,y) = P({TT} n {HH}) for (x,y) = (0,0) P({HH, HT,TH} n {HH}) for (x,y) = (1,0)...

Before I begin, here is the question: If the PDF of two independent random variables X and Y are: f(x) = exp(-x)u(x) f(y) = exp(-y)u(y) Determine the join probability density function (JPDF) of Z&W defined by: Z = X+Y W = X/(X+Y). So, I know how to solve this except for one thing. How do I get...

Homework Statement Suppose that A, B, C are independent random variables, each being uniformly distributed over (0, 1). ) What is the probability that all the roots of the equation Ax2 + Bx + C = 0 are real? Homework Equations (b) What is the probability that all the roots of the equation...

I have a tapped hole. A threaded rod goes through the hole. A single nut secures the threaded rod in position. Only one plate is threaded. Note the clearance hole in the top plate. A picture is attached. A friction joint in a bolt occurs when the clamping force creates a normal force. This...

So say I have Pr(Z|X&Y) I'm guessing that it follows the standard Pr(A|B)=[Pr(B|A)Pr(A)]/Pr(B) So Pr(Z|X&Y)=[Pr(X&Y|Z)Pr(Z)]/Pr(X&Y)?Also, if X&Y are independent, then would I get Pr(X&Y|Z)=Pr(X|Z)Pr(Y|Z)?

I am trying to use computer modelling to see stress. I want to compare it to my hand calculation, which uses the frusta cone method to find the stiffness of the joint. This way, I can check my calculation in a conceptual way. The model includes a nylon insert nut, a threaded rod, a washer and a...

We are using a childs wagon as the base for a parade float. The float will be decorated to look like a canoe. We want to attach "waves" to the wheels so that they move up and down as the wheels roll down the road. Similar to this...

Problem: Two birds have landed on a power line that spans the 100' distance between utility poles. a) What is the average distance between the birds? b) The line runs north and south. Another bird lands on the line. What is the expected position of the north-most bird from the south-most...

Hi everybody, I apologize if this question is too basic but I did 1 hour of solid Google searching and couldn't find an answer and I'm stuck. I'm reading Bishop's Pattern Recognition and Machine Learning and in the second chapter he introduces partitioned vectors. Say, if X is a D-dimensional...

I try to understand the following equation but I can not. I have basic knowledge about Bayes rule and joint probability. How can we produce this result? I would appreciate any help. p(R|q,x)/p(NR|q,x)=[p(R|q) / p(NR|q) ] * [p(x|R,q) / p(x|NR,q)]

Consider the following joint probability distribution function of (X , Y): a(x + y^2) {0<=x<=2, 0<=y<=2} 0 otherwise Calculate the value of the constant a that makes this a legitimate probability distribution. (Round your answer to four decimal places as appropriate.) And then, For the...

I know that, for a random vector (X,Y,Z) jointly normally distributed, the conditional expectation E[X|Y=y,Z=z] is an additive function of y and z For what other distributions is this true?

Hi! Suppose we have two variables Y and Z that depend on a third one, X. We are given P(x), P(y|x) and P(z|x). The joint probability distribution P(x,y,z), according to the chain probability rule, is given by P(x,y,z) = P(x)P(y|x)P(z|x,y) But how can we compute P(z|x,y) with the given...

Homework Statement two random variables have a join pdf f(x,y)= c , x^2+y^2<= 1, x >0, y>0 0, otherwise Find c. Find E{xy}. Homework Equations The Attempt at a Solution For the first part, since area= pi/4, c(pi/4) = 1 c=(4/pi) b) x=cos θ y= sin θ ∫∫-(sin...

[b]1. Hi, The problem: A roof support frame has various leadings on it. The frictionless pin joint at points A has vertical and horizontal reaction forces. The rollers at point B allow free movement in the horizontal direction and has a vertical reaction. a/Calculate The total Horizontal...

hi i am looking for linear retractable hydraulic joint, basically it is hydraulic cylinder with hole in the rod, it does not perform any work, it does not resist the fluid flow, it just expands and retracts as needed, it acts as a hose but its cylinder based is there something like...

Homework Statement Homework Equations The Attempt at a Solution The problem is the integral is non-elementary, so now what? Part (b) follows trivially from part (a). But is there some kind of shortcut I have to take, because no matter what substitution I do, the integral...

In quantum mechanics, there doesn't seem to be a joint distribution of position and momentum. But in Bohmian mechanics there is. But Bohmian mechanics is quantum mechanics, so what is the error in my reasoning?

I understand that defining the path of a joint in a mechanism comes under the category of 'kinematic analysis'. I do not understand why engineers do this,when all they need to know is the path of the piston,piston velocity and piston acceleration(kinematic analysis). Take for example this 90...

Hi, I was just wondering if anyone know of an operator, which has some realistic analogue, that would perform the following action: A|N,0> = A|0,N> Where the ket's represent two joint fock states (i.e. two joint cavities) and A is the opeator I desire. I thought that the beam...