Column Definition and 317 Threads

Hi, in this setup we have a bucket of water 10 kgs of water inside. Attached is a weight meter measuring that in fig a. The weight is exactly 10kgs. In fig b. A piston (red) is being pulled by a weight (z). "z" has a pull force equivalent to the volume of the column of water above the piston...

Homework Statement Folks, Ask to calculate the weight ##W(x)## of this tapered column at a distance x from the top as shown in the sketch. Homework Equations Given: A trapezoid of bottom base 1.5m, top is 0.5m, length is 0.5m and height 2m. Specific weight is 25kN/m^3 Area of trapezoid...

Postby Robbie8 » Mon Sep 03, 2012 7:44 pm Hi, I am using a php view to show a table of all the entrants in my projects with their number, name, rounds and points. I have two projects Project One and Two which have their results displayed in tables. The width of the columns for the values in...

Hi, first off all, I know this isn´t the best forum for my questions about HPLC columns, but unfortunately on other forums either people don´t answer or don´t know what they are talking about. So here my question: I have to separate enantiomer proteins with HPLC columns. I read it is import...

Hello all, I devised a concept a couple years ago for renewable energy and hit a stumbling block: How do you insert a buoyant object into the bottom of a water column with the smallest amount of energy? Recently I revisited the concept and found some similar work online including this...

Homework Statement So the actual problem "Find the value of a for which the following system of linear equations has a solution" 2x + 4y + z = a -4x -7y + 0 = 1 0 -1y -2z = 1 Homework Equations The Attempt at a Solution I thought one approach was to find a basis for the...

hello guys, I'm having problems understanding why if we were to have a tuning fork that vibrates at a particular natural frequency, it will resonate at many different lengths of air column (which means different natural frequency of air column). Does this mean that the natural frequency of the...

Guys when i study earthquake , they told me that the column stiffness is 12EI/L3 if column is fixed -fixed and 3EI/L3 if column is pin -fixed, so how they get this, i try to study stiffness Matrix and it gives you big matrix for frames not Only one factor like 12EI/L3 please explain

Homework Statement i am struggling with a question i have.. i can't find the right equation to use to find what the minimum length of the column at which buckling is likely to occur?? can anyone offer any help with this as my lesson books show me nothing on how you find length? i have D=80mm...

I've been dabbling with linear algebra lately and on the MIT OCW course for linear algebra, the professor talks about a column representation of a system of linear equations. For example, you teaches you to represent a 2x + 3y = 4 5x + 7y = 9 as a x [\stackrel{2}{5}] + y...

I just want to know the relationship between beam depth and column size. I know there is a relationship. But in uniform loading, do they increase beam depth or column size? or rather.. would increasing beam depth and keeping column constant be able to handle more load? or should the beam depth...

Hi folks, is there an analytical solution for the determinant of the following matrix: - - | A B | | C d | - - where A is a n-1 x n-1 lower triangular matrix and B and C are n-1x1 and 1xn-1 matrices and d is a non-zero number.

I'm doing a particular form of regression that gives a eigenvector and matrix for the solution. I'm using two matrix libraries to code the solution. One library yields the minimum column vector in each column. The other does not, is there a method in linear algebra to convert the eigenmatrix...

Homework Statement Homework Equations P = EI pi^2 / Leff radius of gyration: SQRT (I/A), slenderness ratio: Leff/r The Attempt at a Solution So I've found Ixx = 240.81 x 10^6 mm^4, Iyy = 71.9 x 10^6 A = 9600 finding the radiuses of gyration rx = 158.38, ry = 86.54 effective length of...

I was wondering whether we can use row as well as column operations to reduce a matrix to find column space? Or do we only have to perform row operations to reduce matrix in case of row space and column operations to find column space?

Are there any special relationships between the column vectors of a matrix and the corresponding column vectors of its inverse?

Matrix: Ã= 1 -2 0 0 3 2 -5 -3 -2 6 0 5 15 10 0 2 6 18 8 6 Matrix on reduced echelon form: 1 0 0 -2 3 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 0 X 0 0 -2 3 0 X 0 -1 0 0 0 X 1 0 0 0 0 0 0 Are the pivot positions the ones I've marked with X? And therefor colum 1, 2 and 3 are pivot columns...

Homework Statement a concrete column, 4.5m long, is reinforced with steel bars and carries a compressive load of 58 tonnes. The overall cross-sectional area of the column is 0.1m squared and the steel reinforcement accounts for 5 percent of this area. take young's modulus for steel as 200 GN/m...

Is it true that if an n by n matrix A has n-linearly independent eigenvectors, then it must also be invertible because these n-eigenvectors span n-space. But does this reasoning work the other way around: that is if A is invertible, does that imply n-linearly independent eigenvectors can be...

Hello, Does the column space of a matrix A always equal the column space of the rref(A)? i.e. are the solution sets to Ax=b, or even Ax=0 the same for A and rref(A)? When doing some examples of matrices that had some linearly independent columns it seemed the Span was preserved by row...

That’s an old time question that it’s still a mistery to me. It’s a lot of time that I am trying to find an answer, but no text is clear on the topic and I am basically self-taught. What’s the difference between row vectors and column vectors? I came to this question when I found that the...

\frac{x[Ain]-x[Aout][/SUB][/SUB]}{x[Ain]-x[out][/SUB][/SUB]}=\frac{\sum s^{K}-1}{\sum s^K} (1) for k = 0 to n Final result...

http://img268.imageshack.us/img268/4821/98922663.jpg Uploaded with ImageShack.us Effective length: x-x axis = 1 x 6500mm y-y axis = 1 x 5000mm do i have the right effective length?

The weight of a body is less when it is submerged in water, due to the upthrust. But the weight of the water column above the body can be far more than the upthrust(weight of the displaced water). So is it not that the weight of a body can increase when it is submerged in water?

Homework Statement If, in a matrix, there is a column of all zeros, does this mean the given vector/matrix is linearly dependent? An example would be: [1 2 0 4] [2 3 0 1] [5 2 0 7] A few questions to clear up some possible misconceptions: 1) The matrix above is a 4-dimensional vector...

Homework Statement An air column is closed at on end, with a length of 25.3cm, resonates in the first overtone. If the frequency of the sound wave is 1024Hz, find the air tempature inside the column. Homework Equations v=f(wavelength) v= 332 + v/v+-vs The Attempt at a Solution

Mwater g(H+h) If you have a column of water 100 meters tall (10 atm) and you insert an object in at the bottom of the column you have to use enough energy to displace the volume of the object. The pressure times the volume is your energy requirement: correct? But suppose you were able to...

https://www.physicsforums.com/attachments/42439 What is the minimum length of the column at which buckling is likely to occur? The buckling equation is: F= ((∏^2)*E*I)/(K*L)^2 E is the modulus, I is the area moment of inertia, K is the buckling coefficient, and L is the length of...

This is a self-study homework problem. I am trying to verify the "falling column physics" associated with leaning forward with our center of mass in front of our feet. Homework Statement Describe the free body diagram for a column (tree, pencil, person) leaning from vertical. Assume there...

Homework Statement This is the given function: Homework Equations The RMS equation goes like this: \sqrt(\frac{\int(f(t)^2 dt)}{b - a}) The Attempt at a Solution The first part of the exercise was to find the mean value. This is A/4. The RMS value should be higher...

Homework Statement Hi, Is there a matrix property that can be applied to take the square of a column vector? Something like: {\bf x}=\left[x_1,x_2,x_3\right]^T \left[{\bf x}\right]^2 ={\bf x}{\bf x}^T or ={\bf x}^T{\bf x}? Thank you. Homework Equations The...

I recently ran a baylis-hillman reaction of 2nitrobenzaldehyde and acrylonitrile (DABCO catalyst) and after my reaction had gone to completion (determined by tlc) i extracted with chloroform/washed with brine, dried, filtered, rotovaped etc etc I ran a crude NMR and determined I did have my...

Homework Statement It is known that water in a capillary will rise to a certain height, as shown in the figure. Comparing the points P and Q, which point exhibit larger pressure? a. P b. Q c. The pressure of P and Q are the same Homework Equations F_upward=2*pi*R*T*cos⁡θ W=pi*R^2*...

EQUALITY OF ROW AND COLUMN RANK (o'Neil's proof) Is there smt wrong? http://www.mediafire.com/imageview.php?quickkey=znorkrmk3k1otjd&thumb=6 Theorem 7.9: EQUALITY OF ROW AND COLUMN RANK Proof: Page 210. It writes:... so the dimension of this column space is AT MOST r (equal to r if...

Homework Statement Homework Equations The Attempt at a Solution Hi from Turkey...I really need to solve this 3 problem...I will enter exam whit same problems...I have some attempt but i really need to exatly result...Because our teacher doesn't give mark your solving way...So...

For fixed-fixed BC's, i have to arrest x and y displ. For simply supported case, i have to arrest y displ. Then my doubt is, while applying force at the end of the column, how the displacement will happen for fixed-fixed column.

Homework Statement Obtain the column space of the following matrix B = 2 -3 -1 2 -3 -1 -3 3 2 Homework Equations Linear independence test c1V1 + c2V2 + ... + cnVn = 0 c1=c2=...cn=0 The Attempt at a...

In my lecture notes, the lecturer describes the column space of matrix A as the vector space spanned by the columns of A (which means that it is assumed that the columns of A are basis ) Is this true only in theory ?

Homework Statement What reading will we see on a pressure gauge that is at the middle and bottom of a fluid column? and why Homework Equations P=pgh where p is density and P is pressure The Attempt at a Solution Well according to the equations as the gauge drop lower and lower it...

Let A be an n x p matrix with real entries and A' be its transpose. Is the column space of A'*A the same as the column space of A'. Obviously, the column space of A'*A is a subset of the column space of A' but can I show the other way? Thanks!

I'm having a problem with this rule in general. Apparently one can calculate the determinant by multiplying the cofactors and entries of any row or any column of a matrix. I have a negative that pops up. I'll take a 3X3 matrix for simplicity. A= |a b c| |d e f| |g h i|...

A , B are nXn matrices and AB=(A)^t t-is transpose prove that the space spanned by A's row equals the space spanned by A's columns i know that there dimentions are equals so in order to prove equality i need to prove that one is a part of the other how to do it? each column i of...

Are you allowed to mix and match row and column operations? For (a), using only row operations, I cannot get the matrix into the form they want. Could I swap a few of the columns around to do so? For (b), I got it into the form they want. The rank of the matrix is 2 because I have I2 there...

lets assume the matrix multiplication AB exists, how would i prove that the column space of AB is contained in the column space of matrix A? i know there is a theorem that says something like: "a system of linear equations Ax=b has solutions if and only if b is in the column space of A" Am...

I want to express the matrix product Ax as a linear combination of the column vectors in A. I know for that for (2,3;-1,4)(1;2) i just row reduce the 2 previous matrices and then the solutions give the multiples needed for each column. How would i go about solving a similar problem but...

Determine whether the span of the column vectors of the given is in...? Homework Statement determine whether the span of the column vectors of the given matrix is in euclidean space R=4 1 0 1 -1 0 -1 -3 4 1 0 -1 2 -3 0 0 -1 this question is under the inverse of square...

I did an experiment in class to determine the speed of sound. I used the speed of sound in air equation with the room temp at 28°C which was calculated at 348.6m/s. However when doing the experiment I got 329m/s. I just want to know some source of error that may have caused this? I have...

how to prove that R(A)=\text{sum of} N(A-\lambda I)? \lambda is nonzero eignevalues of A

Can a square matrix with a column of all zero's be invertible?

The Problem I've been given the beam shown below to carry out the Hardy Cross method (Moment Distribution) too. I have no problems with the method but I'm struggling with part b, which states "Replace column by an equivalent force and couple at point C"...