Homework Statement
What are the potential errors in measuring strain with strain gages? How can these
errors be minimized?
The Attempt at a Solution
In my class notes, I have the four Errors.
1-Gage mounting (glue thickness & flex)
Use a thin layer of glue and make sure the layer is...
Homework Statement
An A/D converter is to operate with a full-scale voltage of 10V. How many bits should be employed to obtain a resolution of 0.01%?
Homework Equations
Resolution = Full Scale voltage / (2N - 1)
The Attempt at a Solution
.01% * 10 V = .01/100 * 10 V = .001...
Homework Statement
http://img843.imageshack.us/img843/5370/helpxd.jpg [Broken]
Homework Equations
Sin law
The Attempt at a Solution
I got to:
F1/sin(105) = F1u/sin(45) = F1v/sin(30)
I get F1u = - 219 and F1v = 254.5.... It says it is wrong, not sure what I did.
Homework Statement
S P^4 e^-P DP
Homework Equations
My parts.
The Attempt at a Solution
I know you can do u = P^4, and DV = e^-P
Then, you get du = 4P^3 dx and V = -e^-P
-P^4 e^P + S 4P^3 e^-p dx
Now, I can just repeat that for the intergral until I get to were the P...
Homework Statement
by expanding the binomial show that ( (Sqtroot(3)/2) + (1/2)i )^4 = ( (-1/2) + (sqroot(3)/2)i )
The Attempt at a Solution
I'm stuck, I now ( (Sqtroot(3)/2) + (1/2)i )^4 = ( (9/16) + (1/16)i )
But that's all I got, don't know the next steps.
Homework Statement
Using Gaussian Elimination:
3x - 2 y = 5
6x-4y =7
The Attempt at a Solution
[ 3 -2 5]
[6 -4 7]
* top row by 1/3
[1 -2/3 5/3]
* Top row by -6, add to bottom row:
[0 0 -3]
So I get this:
[1 -2/3 5/3]
[0 0 -3]
How can 0y equal -3?
Homework Statement
Convert the equation to a first order system.
d^2y/dt^2 + 3dy/dt + 2y = 0
The Attempt at a Solution
Set d^2y/dt^2 = dv/dt
dy/dt = V
So, I now have: dv/dt + 3v + 2y = 0
Now, i'm not sure what to do with that Y, In my notes we only did examples with...
Homework Statement
Find all Equilibrium points for the following systems.
B. dx/dt = 5x - x^2 - 3xy
dy/dt = 8y - 3xy - 3y^2
The Attempt at a Solution
0 = x(x + 3y - 5)
0 = y(y + x - 8/3)
Equilibrium points: (0,0) but I can't find anymore? is (0,0) the only one?
Homework Statement
http://img262.imageshack.us/img262/678/im000724.jpg [Broken]
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The Attempt at a Solution
http://img843.imageshack.us/img843/5651/im000726.jpg [Broken]
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I got all the way to g, but I don't know how to...
Homework Statement
Solve the differential equations [Find the general solution y(t)=KYh(t) + Yp (t)]. Use the method of finding the integrating factor.
dy/dt = -2ty + 4e^-t^2
The Attempt at a Solution
S = intergrat
dy/dt = -2ty + 4e^-t^2
dy/dt + 2ty = 4e^-t^2
P(t) = 2t
b(t)...
Homework Statement
I need to find the equilibrium solutions
dy/dt = sin^2 y
The Attempt at a Solution
I don't know what to do with the sin^2. If it was just sin, it would be easy, 0, pi, -pi, 2pi, -2pi.....etc...... But it's not, I have a Ti-84 plus calculator. So, i don't...
Homework Statement
dy/dt = y^2-4t - y(0) = 0.5 - 0 <_ t <_ 3.0 - Change in t = 0.5
I have to use Euler's method to make a table, but I'm not sure how to handle the t. I have only done it with y's and no other variables.
Can someone tell me were I went wrong. This just doesn't seem right. If some how it is, I need help with the next part. Not sure how.
Talking about problem #2.
http://img513.imageshack.us/img513/8535/part1mc.jpg [Broken]
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Homework Statement
Your physics teacher has assigned you the task of building a water barometer. You've learned that the pressure of the atmosphere can vary by much as 5 percent from 1 standard atmosphere as the weather changes.
A. What is the minimum height you must build your barometer...
Homework Statement
Did most the problem, but know I'm stuck here: 202,000=32,800e^k*20
I need to solve for K
The Attempt at a Solution
Log 202,000 = k*20 log 32,000 e
Do you move the e out in front too? I'm not sure, anyway, I'm stuck here. Not sure what to do or even if you use...
Homework Statement
Use Your Phi(from part 1) and the fundamental theorem of line integrals to evaluate the same line integral. (should get the same answer!)
The Attempt at a Solution
Phi from part 1: Phi = xy+ y^2 +C
The line from before go from (0,2) to (-2,0)
r(a) = (0,2)...
Homework Statement
F= <y, x+2y>
Show F is conservative and determine potential function.(Determine Phi so that gradient phi = F)
The Attempt at a Solution
F= <y, x+2y> = <phi-x, phi-y>
Phi-x = y-------------> Phi = yx + Cy------Part respect to Y----> = (Y^2/2)X
I'm not sure...
Homework Statement
The volume of the solid below the plane: z=2x and above the paraboloid z=x^2 + y^2.
I need help setting this one up, I can handle the evaluating.
The Attempt at a Solution
I just don't know.
Homework Statement
T(x, y, z) = 200e^(−x^2−3y^2−9z^2 )
I'm not sure how to get the derivative in terms of x,y or z.
The Attempt at a Solution
For x: -200x^2e^(−x^2−3y^2−9z^2 )(-2x)????? Is this right? Probably not, how do i do it?
Homework Statement
Volume between Y=1-X and Y = Z^2 -1
The Attempt at a Solution
http://img254.imageshack.us/img254/1743/42932830.jpg [Broken]
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Sorry, not a good drawer.
0 < y < 1
0< x < SqRoot: 1-y
-1 < y < 0
0 < Z < Sqroot: 1 + y
I'm not...
Homework Statement
You have been ask to design a "ballistic spring system" to measure the speed of bullets. A bullet has a mass of m is fired into a block with mass M. The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose...