I am going to attempt to use a sheet of HDPE betwen a concrete footing and the base of a column to allow the column to move with thermal expansion in the structure it is supporting. My question is how can I determine if the HDPE will be crushed by the weight of the column and no longer act as a...
A window is in the form of rectangle surmounted by a semi circle. The total perimeter of the window is 10m. Find the dimensions of the window to admit maximum light through the whole opening.
I need help on this problem, anyone know how to do it?
Suppose you have n independent observations from a uniform distribution over the interval [𝜃1, 𝜃2].
a. Find the maximum likelihood estimator for each of the endpoints θ1 and θ2.
b. Based on your result in part (a), what would you expect...
Hey! :o
I am looking at the proof of the strong maximum principle:
If a function $u$ satisfies the Laplace's equation at the open space $D$ and is continuous at the boundary $\partial{D}$ and achieves its maximum at $\partial{D}$ and at a point of $D$ then the function is a constant.
which is...
This question needs to be framed:
We track time at the Earth's surface using atomic clocks.
We know that objects in orbit have clocks that run slower because of velocity and faster because of reduced gravity, and which effect is dominant depends on altitude as this illustration shows...
In a 100 metre sprint, an athlete reaches her maximum speed in 3.0 seconds, starting from rest, assuming constant acceleration. She maintains her maximum speed until the finish, with an overall time of 11.0 seconds. Determine her maximum speed, vmax.
I'm trying to solve this problem but it...
When:
- Vacuum had an absolute mass, relatively limiting expension of all universal matter
- Newton's second law could be overridden or negated
- [Anything else I couldn't think of]
Homework Statement
Speakers L_1 and L_2 are placed at a 2 m distance from each other. The speakers send out soundwaves that are in the same phase and the loudness (?) is examined in the point P (see figure). The velocity of the sound is 343 m/s and the distance L_2P is 6 m.
L_1
L_2...
So I'm designing a system that requires an extremely high amount of current for an extremely short pulse lengths. These pulses would be consecutively spaced at relatively large intervals from one another. I'm just wondering if there is some sort of instantaneous power limit to wires, even if the...
.
I need to calculate the maximum gradient that a specific vehicle will be able to climb when subjected to known load conditions. There are 6 calculations required for 4 sets of conditions.
Values common to all calculations: -
Weight of vehicle : 1800kg
Weight of payload : 500kg
Max gross...
Homework Statement
Find the maximum velocity of the particle using the graph given.(See attachment)
Homework Equations
Initial velocity was not given. I assumed it to be 0.
In book, the solution was 55m/s^2
The Attempt at a Solution
Initial acceleration was ##10m/s^2##. Final acceleration...
Hi guys,
I am confused from what I know the max. value of directional derivative at a point is the length of the gradient vector ∇f or grad. f?
Why does the answer in my book of a question say that
Max. val of Duf = (√3145)/5
when ∇f = (56/5) i- (3/5) j
?
Thanks
I was solving this paper, but got stuck on this question, and it's been bugging me endlessly. I don't know what I'm missing. Here's the question:
A rod of 20 dia is fixed to the ceiling of a roof on one end. A rotor of 50 kg mass is attached to the free end with bearings. The CG of the rotor...
Hi everyone,
I'm a bit confused with this question.
An airline demands that all carry-on bags must have length + width + height at most 90cm. What is the maximum volume of a carry-on bag? How do you know this is the maximum?
[Note: You can assume that the airline technically mean "all carry...
Homework Statement
You want to throw an apple to your buddy on the second floor balcony that is 2.2m above where you release the apple. When you throw the apple with a speed of 14m/s at an angle of 55° above the horizontal, it gets to your buddy who catches it on the way down. Find the maximum...
Homework Statement
y=x+z
where the pdf of z is exp(-v-2) for v >= 2 and 0 otherwise and x is just an unknown constant
what is the MLE of z which maximizes the condition density f_v(y-x)Homework Equations
The Attempt at a Solution
f_v(y-x) = integral of -2+x to infinity of exp(-y+x-2) dy =...
Homework Statement
Estimate maximum slit width of a double slit.
Homework Equations
The Attempt at a Solution
Letting the slit width be a,
The intensity profile of such a system is:
I = I_0 sinc^2\left( \frac{Nkasin \theta}{2} \right) cos^2\left( \frac{kd sin\theta}{2}...
A ball of mass 'm' drops from a height 'h'. Which sticks to a massless hanger after striking it .. Neglect overturning. Find out maximum extension in rod, assuming that the rod is massless..
Homework Statement
What is the maximum allowable probability of error is a typical digit in order that the (8, 4) Hamming Code can be used with probability .999 that the receiver will not be misled (i.e., 3 or more errors occur) in a single word?
Homework Equations...
have two solar cells which I have connected in Parallel to increase the current provided to the system. I want to calculate the maximum Power point tracking for my solar cells. There was no information provided by the seller except the one below.
I have attached the open circuit reading of...
Problem:
Let $0<a<b$
i)Show that amongst the triangles with base $a$ and perimeter $a+b$, the maximum area is obtained when the other two sides have equal length $b/2$.
ii)Using the result (i) or otherwise show that amongst the quadrilateral of given perimeter, the square has maximum area...
Question; A 1 g mass is suspended by a spring and executes simple harmonic motion when released. At time t=0 the displacement is 40 cm and acceleration is -3.6 cm/s^2. What is the spring constant k? What is the maximum velocity of this mass? At what time would the modulus of the maximum velocity...
Homework Statement
find time to reach max height
max height is 0.870m
mass of diver is 70kg
makes an angle when diving of 85 degrees
Homework Equations
Vf=Vi + gt
The Attempt at a Solution
Vi=0
Vf=gt
t=vf/g
= 0.870/9.8
not sure if this the right approach
Hello,
This might seem like a very basic problem for the most of you but I am a little bit confused as to the problem of maximum and minimum values.
For, example I do understand why y = x^2 has no absolute maximum as y-->\infty as x-->\infty...
However, in the closed interval, say, [0, 2]...
Homework Statement
Here is the problem with the solution:
I feel like the solution should be 10.74m. The maximum allowable length should be the lower one. This is because, for example, if we make the column 11m in length. The Pcr in the zy plane would decrease and since we are applying...
Homework Statement
Consider the circuit shown in the figure below. Suppose that R = 46Ω and Z=j14Ω. Determine the maximum average power that can be delivered to the load if the load is pure resistance. Note that the voltage source magnitude is given as Vmax, not VRMS
Homework Equations
j =...
Hi, I am currently revising photoelectric effect, and i have this question:
A metal surface at zero potential emits electrons from its surface if light of wavelength of 450 nm is directed at it but not if light of 650nm is used. Explain why photoelectric emission happens with light of...
Consider a density family $f(x,{\mu})=c_{{\mu}}x^{{\mu}-1}\exp(\frac{-(\ln(x))^2)^2}{2}$ , where $c_{{\mu}}=\frac{1}{{\sqrt{2{\pi}}}}\exp(-{\mu}^2/2)$
For a sample $(X_{1},...,X_{n})$ fnd the maximum likelihood estimator and show it is unbiased. You may find the substitution $y=\ln x$ helpful...
Homework Statement
A dragstar which weighs 1000kg has a wheelbase 6m long and is assumed to have an unlimited amount of power available to the rear wheels. If the centre of mass of the vehicle is situated 1m forward of and 0.5m above the contact point of the rear wheels and the coefficient of...
Urgent!How to find the point where Maximum Curvature occurs on graph?
Homework Statement
The graph(2D) is plotted from experimental data, not from a given equation and within certain limit. I want to know the x&y coordinate where the maximum curvature occur via software means, not manually...
I'm just learning this theory and the maths is really trivial but the theory is slightly confusing me.
I understand that if we have some function z=f(x,y) and we graph this on a three dimensional set of axis we will have some surface, we can then extend this by creating level curves in the...
Homework Statement
A computer scientist has dropped a tiny pizza crumb onto a magnetic disk. Later, when it's turned on, the disk is rotating at 88 revolutions per second about its axis, which is vertical. The coefficients of kinetic and static friction between pizza crumbs and the disk are...
Hi,
I am looking to use My/I to find the maximum bending stress for a beam
My problem is I don't know how to find the bending moment- the reason why:
The beam has more than one point of load, aside from the reaction points. (Pin joint cantilever beam)
The sum of all moments equal 0...
Homework Statement
Homework Equations
The Attempt at a Solution
The text in the black box looks wrong to me. The method below is how I would do it. Why is it wrong?
$$To\quad maximize\quad power,\quad \overrightarrow { Z_{ L } } =\overrightarrow { { { Z }_{ th } }^{ * } } \\ \\...
Here is my circuit:
β=100, VCEsaturation=0.2V, VBE=0.7V, λ->0, VT=26mV
After completing DC analysis I got these results :
IB=18.05μA, IC=1.805mA, IE=1.823mA, VCE=4.658V>VCEsaturation=0.2V, gm=0.06943, rCE=∞ Ω, rpi=1.44kΩ.
After completing AC analysis I got Av=-115.7, Ai=72.23, Rin=1.040kΩ...
Homework Statement
complete problem attached
Homework Equations
The Attempt at a Solution
part I in this question was a bit tricky but i managed to solve it , when i read part II i understood nothing , he usually asks about the tangent not the normal , he asks about the point...
Homework Statement
For the following circuit, find the values of RL and CL that maximize the power extracted from the generator.
https://dl.dropboxusercontent.com/u/15390227/circuit.jpg
Homework Equations
Z = R + jX
XL = jωL
XC = 1/jωC
The Attempt at a Solution
Immediately...
The problem is to find out the maximum angular velocity that the swing carousel can spin at before the chain holding the passenger breaks. The maximum tension that the chain can withstand is known (T). The radius from the centre of the ride to the chain when stationary is known (r). The...
Homework Statement
The independent random variables X_1, ..., X_n have the common probability density function f(x|\alpha, \beta)=\frac{\alpha}{\beta^{\alpha}}x^{\alpha-1} for 0\leq x\leq \beta. Find the maximum likelihood estimators of \alpha and \beta.
Homework Equations
log...
Hi I attached the file. there are 3 different types of forces applied.
and material's yield strength is 55.1 MPa or 8000 psi.
I want to find maximum load of box for each types.
I don't know which equation I can use. because the box is empty.
the dimension of box is
width: 70mm, length...
Here find some attached circuit of three phase cabinet which operation voltage is 400V /415V and have operated current 800A, fault current for 1 sec is 46 KA and have incoming and outgoing links with one phase Lighting and socket.
I want to know is there some method that one can calculate...
Homework Statement
1. An experiment consists of giving a sequences of patients a risky treatment until two have died, and then recording N, the number who survived. If p is the proportion killed by the treatment, then the distribution of N is:
P(N=n)=(n+1)(1-p)n p2
1)Find a general formula...
Reading this wiki article http://en.wikipedia.org/wiki/Atomic_electron_configuration_table
I was surprized to see they predicted 172 elements.
Now, since the speed of the electron of Hydrogen is vH = 2,18816 (C/137), and since speed in further elements is multiplied by z (number od protons)...
Homework Statement
A model rocket is launched with an initial velocity of 55 m/s. Its height as a function of time can be modeled by h(t) = -4.9t2 + 55t. Determine the maximum height reached by the rocket.Homework Equations
h(t) = -4.9t2 + 55tThe Attempt at a Solution
h'(0) = 55, since h'(t) =...
Does the tangent of a function being at a maximum necessarily mean that the function itself is at a maximum?
I am supposed to find whether del is at a maximum at w = (tansig*taneps)^(-1/2)
del = arctan(w*(tsig-teps)/(1+(w^2*(tsig*teps))))
tansig and taneps are constants and w is the...
efficiency -- how to get the maximum efficiency in a circuit?
Homework Statement
I don't quite understand how to get the maximum efficiency in a circuit.
Exemple.
4 Volts and 2.0Ω will produce 8 watts with a current of 2.0 amps.
5 Volts and 3.1Ω will produce 8 watts with a current of...