Maximum Definition and 1000 Threads

Homework Statement A block of mass m1 slides along a frictionless table to the right with a speed of v1. A second mass M2 slides in the same direction with a speed of v2 such that it will collide with m1 which is in front of m2. Say that a spring of stiffness k is attached to one of the masses...

The scenario involves dropping something into a bucket of water. I'm trying to do an experiment where I have to figure out a relationship between the amount of water that leaves the bucket and a certain variable of the object that is dropped. I'm wondering what could maximize the water that...

Homework Statement A parallel circuit like that in the figure forms the tuning circuit for an AM radio. If the inductor has a value of 8.6×10-6 H, what must be the maximum and minimum values of the variable capacitor if the radio receives frequencies from 590k Hz to 1670k Hz? a) Maximum C? b)...

Hello! (Wave) I am looking at the following exercise: For each function $f(n)$ and for each time $t$ find the maximum size $n$ of the problem that can be solved in time $t$, assuming that the algorithm of the problem requires time $f(n)$ microseconds( 1 microsecond=$10^{-6}$ second) Suppose...

Homework Statement A cannon at ground level is shooting emergency packets to people stranded on the roof of a flooded building of height H=125 meters. The corner of the building is located a distance D=50 meters from the cannon. It is desired that the incoming packets are flying tangent to the...

Homework Statement Homework Equations Pmax = ((VTh)2)/(4RTh) Rparallel = (R1R2)/(R1 + R2) KCL ΣI = 0 KVL ΣV = 0 The Attempt at a Solution Okay, so to find RTh, I remove all independent sources and set the "terminals" at R to have a 1A current running through them. Since there is a 30kΩ...

I want to know the maximum shear stress acting on the y-z face(plane). I already know all 6 stress components: Sxx, Syy, Szz, Sxy, Syz, Sxz. The shear components on the y-z face are Sxy and Sxz, which are orthogonal to each other. Is the maximum shear on this plane simply the greater of the two...

Homework Statement Find the maximum value of f(z) = exp(z) over | z - (1 + i) | ≤ 1 Homework Equations |f(z)| yields the maximum value The Attempt at a Solution f(z) = exp(x) ( cosy + i siny) Unfortunately that's all I've got. I've seen examples with polynomials, but not with trigonometric...

Homework Statement Let u = ∂f/∂x and v = ∂f/∂y. Use Lagrange's method to set up the equations necessary for finding the maxium of u^2 + v^2. Homework EquationsThe Attempt at a Solution I know how to minimize and maximize a function that's a subject to another one. I'm not quite sure what the...

Homework Statement A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft. Find the maximum height attained by the stone. Homework Equations None. The Attempt at a Solution Here's...

My gut instinct is that putting all the resistors in series will give max resistance, but I am not sure how to give a more rigorous either mathematical or just in words reasoning why. Or maybe I'm wrong! But it seems like the fraction introduced from parallel won't help In any case, assume all...

Homework Statement The variable resistor R in the ciruit is adjusted for maximum power to Ro. what percentage of total power developed in circuit is transferred to R. Homework Equations i=V/R The Attempt at a Solution So my goal is to put a "fake" charge across v/2(the dependent source) of 1A...

Homework Statement Two blocks, each of mass m, are connected on a frictionless horizontal table by a spring of force constant k and equilibrium length L. Find the maximum and minimum separation between the two blocks in terms of their maximum speed, vmax, relative to the table. (The two blocks...

Homework Statement There are 3 masses ma= 50 kg, mb= 60kg, mc= 80kg. These masses are connected with a rope that affords a tension of 1000 N. On the mass 3 is applied a force F. Knowing that the tension between A and B TAB= 200 N. a)Find the acceleration b) find the maximal value of the force F...

Homework Statement A 50g block is attached to a vertical spring whose stiffness constant is 9N/m. The block is released at the position where the spring is unextended. What is the maximum extension of the spring? How long does it take the block to reach the lowest point? Homework Equations...

Homework Statement [/B] Hello! I have this question which I don't quite know how to solve... ABC is an equilateral triangle - the length of its sides equal to (a). DE is parallel to BC 1. What length should DE be to achieve the largest possible area of triangle BDE? 2. What length should DE...

why orbitals like s, px, py, pz etc can hold maximum of 2 electrons? Why not some other number?

$x,y\in R$ and $x^2+4y^2=4$ please find $max(3x-2y)$

Ive been given a question which I'm stuck on and cannot answer. I've only been able to calculate the maximum allowable working stress and other then that I am stuck on how to answer the following question: A specimen of the same material that was used in the above test (mild steel), had a cross...

I'm just doing some geometry and I can't remember how to find the maximum values of two variables in the same equation. Like, if you differentiate the equation partially for one, then again from the beginning partially for the other and add them together or something. The equation is something...

Homework Statement A certain type of concrete has a tensile breaking stress of 3.1 MN/m^2, a compressive breaking stress of 37.7 MN/m^2 and a shear breaking stress of 9.4 MN/m^2. A circular pillar of this concrete has a radius of 0.6 m. What is the maximum load it can support assuming that it...

Homework Statement You wish to use an LED (D1) which provides essentially zero resistance and is rated to accept either a maximum of 75 mW of power or 30 mA of current. In the following two circuits, what range values for resistor R1 will be acceptable in each case if the voltage provided by V1...

Hi, I need to know the "maximum interrupting time" of the FW/HFW Molded-Case Circuit Breakers (see the attached time-current curves).Thanks

Homework Statement The whole problem is in picture, but simply it says to find the max velocity of rocket, with those given units. The whole problem is worked out with pounds, but when I try to do it for meter and Newtons I get like 50 times bigger answer. The units : Total Impulse of motor...

Homework Statement Maximum no. of comparisons required to merge two sorted files of length 'm' and 'n' is.. Homework EquationsThe Attempt at a Solution I think m+n-1

In my physics book, one of the basic quick quizzes checkpoints asks what happens to the central peak in a diffraction envelope when you decrease the wavelength of light (from 650 nm to 450 nm, for reference). My understanding is that the width of the peak would decrease, while the number of...

Hello, First, please understand that I'm lacking fundamentals in physics and engineering. I'm trying to find the maximum pressure a submarine hull can resist. For the sake of simplicity I'm just considering a tube closed with magical caps that keep a different pressure inside and outside...

Homework Statement A pendulum hung by a string that is 90m (simplicity's sake) can come a maximum of 72m leftward or right ward. Where does it feel it's maximum momentum? m=meters M=mass Homework Equations PE=mgh KE=.5(M)(v)^2 Mv= momentum The Attempt at a Solution My question is: will a...

Hello, I want to ask the explanation for this basic problem. So I have 2 resistors in parallel(X and Y) and I want to maximize the power going through the resistor X, by choosing the resistance. This can be achieved only by choosing the same resistance for X, than Y has. Why is this so? I can...

My book says 'Maximum work can be obtained only from thermodynamically reversible processes,' but why is it so? What is the cause? Actually to me the definition of reversible process is confusing. It says that at each step during the process, equilibrium is maintained. But, let's say,we have to...

I read somewhere (article, messageboard, i can't find it anymore) that motherboard bus speeds are limited because if the frequency gets too high then the signal will disappear. I guess I understood it to mean that the bus wire will become like and antenna if the frequency is too high. They...

Homework Statement A coating of n1 = 1.33 material is to be added to n2 = 1.50 glass, in order to make it "irridescent." a) What is the thinnest layer of material which will have a reflection maximum for normal-incidence light at BOTH 400 and 600 nm (vacuum) wavelength? b) This thickness will...

Homework Statement y(x,t) = (9.00cm)sin((5Πcm-1)x + (3Π rad/s)t - Π/8) There are 11 parts, and I have answered the first 10 (they include velocity of a wave, amplitude, all that good stuff), but I haven't seen anything in lecture or in the textbook that mention finding maximum vibration speed...

http://puu.sh/dc1YU/fa1e0f3a6e.png Hey so if we have a trajectory like this, where would it be maximum speed? From what I understand, at the midpoint, v = 0 right? So would the maximum speed be in between the bottom (initial) and the centre of the trajectory (peak), represented by B in this...

Homework Statement A current loops is oriented in three different positions relative to a uniform magnetic field. In position 1, the plane of the loop is perpendicular to the field lines. In position 2 and 3, the plane of the loop is parallel to the field as shown. The torque on the loop is...

if one string can hold a block of 100kg, how much weight can two strings connecting the ceiling and one single point hold a block?? is it 200 kg? if yes, then what about one string connecting the ceiling and one single point of the block two times, three times or more? [im sorry if the grammar...

Problem: I do not know how to approach this problem. For a beam which has two reactions, the shear stress is equivalent to the reaction. I suppose that the stress is calculated using moment some how. But how? For seeing if the beam is allowable stress design compliant, you can use the...

I was watching a youtube video from MIT's open courseware series on probability. A scenario was proposed: Al is waiting for a bus. The probability that the bus arrives in x minutes is described by the random variable X, which is uniformly distributed on the interval [0,10] (in minutes). I...

Homework Statement In a three-slit system, the first minimum occurs at an angular position of 5.00°. Where is the first maximum? Homework Equations dsinθ = mλ/N The Attempt at a Solution dsin5° = λ dsinX = λ/3 sinX = 3sin5° X = 1.66° I'm not sure if this is the right equation to find the...

Homework Statement Find the maximum torque on a square shaped wire provided N=120; l=4cm;R=10##\Omega##; B=0.2 T ; ##\omega=200 revs/sec## Homework Equations ##\tau=IaBsin(\theta)## ##\epsilon=\frac{d}{dt}\Phi## The Attempt at a Solution ##i=\frac{\epsilon}{R}=-\frac{\frac{d}{dt} (BAcos\omega...

Homework Statement A possible decay mode a of a positive Kaon in the production of three Pions as shown below:. K+ → π+ + π+ + π− Whats is the maximum Kinetic energy that anyone of the pions can have? The kaon is a rest when...

Hi I was wondering someone can show me how to calculate the maximum deflection using macauley methods, I have answered all the other questions really stuck now, Can you please show the working outs aswell. The document is on office 2010 format.

Homework Statement A 1-kg steel rod is at 227C and is dropped into a 1-litre bath of water at 27C. Assume that these materials are thermally insulated from the rest of the universe. You will determine the final temperature of the steel rod after it reaches thermal equilibrium with the water...

Hi all I gather a normal black hole has maximum angular velocity at the point that the event horizon is moving at The speed of light. However what would be the maximum rotational velocity for a maximally charged black hole- for example one made purely of electrons? Thanks

Homework Statement A block of weight 20 N (m = 2 kg) sits on an plane inclined at 37°. g = 10 m/s2 (for simplicity). a) Calculate the value of the weight components. b) Calculate the acceleration assuming no friction. c) Calculate the acceleration assuming μk = 0.125. d) What value of μk is...

Homework Statement Suppose that a certain accelerator can give protons a kinetic energy of 200 GeV. The rest mass of a proton is 0.938 Gev/c^2. Calculate the largest possible rest mass M0 of a particle that could be produced by the impact of one of the high-energy protons on a stationary...

If a and b are positive numbers, find the maximum value of f(x)=x^a(2-x)^b D={0<=x<=2} attempt of solution I did this question more intuitively. So I first differentiated and found it to be axa-1(2-x)b + xa (2-x)bb-1 and I figured it will only be <0 when x>=2 and b is odd, so it will be >0 on...

Homework Statement Hey everyone. I'm in an introductory differential equations class, and I think this homework problem has got me stumped. The functions y1(x), y2(x), ... , yn(x) are linearly independent on an interval I. c1y1(x)+c2y2(x)+...+cnyn(x)=0 for all x in I, implies that...

I'm teaching myself Physics (I really want to study Physics in college), and this is one of the few places where I can ask for help. I hope my questions aren't so silly. 1. Homework Statement (a) If half of the weight of a small ##1.00×10^3kg## utility truck is supported by its two drive...

Indicate whether you think it is a local maximum, local minimum, saddle point, or none of these? My solution: Point P = Local Max Point Q = Local Min Point R = None Point S = Saddle I got a 75% for first attempt, so one answer is not correct and I am not sure which one isn't.