I don't think I can show you a diagram, but I can try to explain it better:
I am applying force to a lorentz force motor which has a displacement transducer in it which produces a change in current when the height of the motor increases and decreases (you put your foot onto the plate of the...
Hi,
I'm trying to calibrate a voltage divider circuit to measure force. I have measured the current output at two different weights, converted the weights to forces using "f=mg" and calulated a gradient from that using "y = mx + c" as well as the constant.
However, I don't feel what I did...
1. Homework Statement
A static electrically conducting fluid, in the presence of electric and magnetic fields, experiences a Lorentz force. Determine the fluid pressure at point (1,2,1) when the pressure LaTeX Code: p_{0} at origin (0,0,0) is under the effect of gravity and the electric and...
Homework Statement
A static electrically conducting fluid, in the presence of electric and magnetic fields, experiences a Lorentz force. Determine the fluid pressure at point (1,2,1) when the pressure p_{0} at origin (0,0,0) is under the effect of gravity and the electric and magnetic field...
Homework Statement
Using indical notation, prove that a 2nd order symmetric tensor D remains symmetric when transformed into any other coordinate system.
Homework Equations
Tensor law of transformation (2nd order):
D'_{pq} = a_{pr}a_{qs}D_{rs}
The Attempt at a Solution
I think I'm...
Homework Statement
Using indical notation, prove that D retains it's symmetry when transformed into any other coordinate system, i.e. D'_{pq} = D'_{qp} (where D is a symmetric 2nd order tensor)
Homework Equations
D'_{pq} = a_{pr}a_{qs}D_{rs} (law of transformation for 2nd order tensors)...
Homework Statement
Simplify/Evaluate these expressions involving the Kronecker delta, using Einstein's summation convention:
a)\delta_{qr}\delta_{rp}\delta_{pq}
b)\delta_{pp}\delta_{qr}\delta_{rq}
Homework Equations
\delta_{ij}=0 when i =/= j
\delta_{ij}=1 when i = j
The Attempt at...
Hi,
would anyone be able to explain how to evaluate a function using orthogonality (i.e. using orthogonality to solve a definite integration problem with sines/cosines)?
Thank you
Homework Statement
Solve the heat flow problem using the method of separation of variables:
Homework Equations
PDE:\frac{\partial u}{\partial t}=k\frac{\partial^{2} u}{\partial t^{2}}
for 0<x<L, 0<t<\infty
BC's:\frac{\partial u}{\partial x}(0,t)=0,\frac{\partial u}{\partial x}(L,t)=0...
Homework Statement
Find the link between constants \omega and \beta
so that http://www4e.wolframalpha.com/Calculate/MSP/MSP181963g2e5f4i43d3b00005ief8e24920ah323?MSPStoreType=image/gif&s=20 [Broken]
is a solution of \frac{\partial^{2} u}{\partial x^{2}}=2\frac{\partial u}{\partial t}
(A...
This isn't physics.
I suggest you post here next time: https://www.physicsforums.com/forumdisplay.php?f=155
1/-2 is the same as -1/2, so generally you just put the negative sign in front of the numerator.
Sorry, yes the watercraft does always point towards the pier (throughout the journey).
Please see the attached figure for a more representative diagram.
What do you mean by choosing an origin?
Thanks
Homework Statement
A watercraft is crossing the stream to reach the pier. (See attached figure.)
Basically, I have to derive an ordinary differential equation of the path the watercraft travels, which I can then solve using MatLab, etc.
i.e. derive \frac{dy}{dx} in terms of V_{W}, V_{B}...
Unfortunately not very familiar at all. I haven't really dealt with composite integrals. But I'll try:
a = g.z
b = (mB.g)/u
1/(a+bz)^(1/2)
v=(a+bz), so dv=b*dz.
This turns the integral into 1/v^(1/2)*dv*(1/b).
Integrating v^(-1/2).
So:-
Integration:
....f L
t= | (1/(([g.z] +...
Ok, I was trying to use the chain rule lol ><
So:-
Integration:
....f L
t= | (1/(([g.z] + [(mB.g)/u])^(1/2)).dz
....j 0
....f L
t= | 2.([(g.z^2)/2] + [(mB.g.z)/u] + C)^(1/2)
....j 0
Where:
mB = mass of box
mR = mass of rope
g = 9.8 ms^2
z = 77.0 m
How am I doing...
Oh, ok. Thanks for pointing that out :)
So:-
u = mR/L = mR/77
T(z) = u.z.g + mB.g
v(z) = (T(z)/u)^(1/2)
dt=dz/v(z)
z = the length of the rope = L (used for integrating)
The Attempt at a Solution
v(z) = (T(z)/u)^(1/2)
v(z) = ((u.z.g + mB.g)/u)^(1/2)
v(z) = ([(u.z.g)/u] + [(mB.g)/u])^(1/2)...
Hi Dick, z is the length of the rope (77.0m as in the problem) it was just the letter they used in the formula sheet so I carried it forth.
How was my integration? I don't think I know how to integrate nested functions (I assume it's something like the reverse of the chain-rule?).
Homework Statement
“Geologist A” at the bottom of a cave signals to his colleague “Geologist B” at the surface by pushing a 11.0 kg box of samples from side to side. This causes a transverse wave to propagate up the 77.0 m rope. The total mass of the rope is 14.0 kg. Take g = 9.8 m/s².
How...
No units, it just says calculate the area of N.M and calculate det(N).
I just want to cover my bases as it asked for area and I thought I should just put a unit of 'units^2' at the end...
Well, yeah. Finding the area of a unit square 'ABCD' that is represented by a 2x4 M matrix =
[ 0 1 1 0 ]
[ 1 1 0 0 ]
which has been multiplied by a 2x2 matrix N =
[ -2 0 ]
[ 0 -2 ]
I had to calculate the area of N.M and the determinant of the N matrix.
And I was just wondering since...
Do determinants of a 2-space matrix have a unit of [units]^2?
Also, does A_parallelogram = || u x v|| have a unit of [units]^2 too?
This has confused me as Area has a unit of [units]^ 2 but the examples from the Contemporary Linear Algebra (Anton and Busby) text book does not state any units...
I did draw a diagram originally to get part a of the question and it was right. The only thing that has changed is that they gave me a coefficient of static friction. It should be the same diagram still since the angle of 23.5 degrees still applies...
I got two questions from it (the x and y...