Maximum Definition and 1000 Threads

Homework Statement A particle is projected from a point o with initial velocity u up a plane inclined at an angle 60° to the horizontal. The direction of projection makes an angle ∅ with the horizontal. The maximum perpendicular height is H. prove that H = u^2( sin^2(∅) ) / g Homework...

Homework Statement The maximum shear force of a set of bolts is 1000 kN. The ultimate shear stress is 750 MPa and the safety factor is 3. The diameter of each bolt is 20 mm. a) What is the maximum working shear stress in each bolt? b) The cross sectional area of each bolt? c) The maximum...

Homework Statement Let f be an analytic function on the disc |z|<1 and satisfies |f(z)|≤M if |z|<1. Show that |f(z)| \le M \left| \frac{z-a}{1-a'z} \right| when |z|<1 where a' is the complex conjugate of a Homework Equations This section uses maximum modulus principle, but I really don't...

The question asks me as follows: "What is the maximum number of comparisons required for a list of 6 numbers? Is the correct answer as follows: The maximum number of comparisons required for a list of 6 numbers is 5 comparisons. If this is not right, then can somebody please help and explain...

I am struggling in college at the moment and I don't know where else to turn. Any assistance or advice would help, thank you (a) A firm’s short-run production function is given by Q = L2e-0.01L where Q = output and L = labour. Find the value of L that maximises the average product of labour...

Homework Statement FIND MAXIMUM DEFLECTION AND ITS LOCATION (PLEASE SEE THE FIGURE)... THANKS Homework Equations The Attempt at a Solution

It appears the maximum value of x = 0.999... . But 0.999... = 1. But max value of x cannot be 1 based on the criteria. What is the maximum value of x then? It's puzzling me.

Block 1 has a mass of 2kg and is moving to the right on a frictionless surface at 10m/s. Block 2 is ahead of Block 1, has a mass of 5 kg, and is moving to the right at 3m/s. Block 2 also has a spring attached to its left end, which has a spring constant of 1120 N/m. When the blocks collide...

this is a problem in the topic of Concavity and the second Derivative Test The deflection D of a beam of length L is D=2x^4-5Lx^3+3L^2x^2, where x is the distance from one end of the beam. Find the value of x that yields the maximum deflection The answer to this is...

Hello, I have a doubt about the distribution of random variables that maximize the differential entropy in a set of inequalities. It is well known that the Normal distribution maximizes the differential entropy. I have the following set of inequalities: T1 < I(V;Y1|U) T2 < I(U;Y2) T3 <...

Homework Statement A rectangle has its base on the x-axis and its vertices on the positive portion of the parabola $$ y=2-3x^2 $$ What is the maximum possible area of this rectangle? A. (8/27)*181/2 B.(2/9)*181/2 C. (4/15)*301/2...

Hello everybody! Given a topological space ##X## and two functions ##f,g:X\rightarrow \mathbb{R}##, it is rather easy to prove that ##x\rightarrow \max\{f(x),g(x)\}## is continuous. I wonder if this also holds for infinitely many functions. Of course, the maximum doesn't need to exist, so we...

Homework Statement The daily load demand of a grid is given by P=Pmax * cos(pi*t/24). Here -12hrs ≤ t ≤ 12hrs. Maximum power occurs at (t=0) and minimum occurs at (t= ±12). A 10 GW hydro power plant with pump storage is available for base load operation. The turn-around efficiency of the...

Hi, What is the material which would develop powerful vibration for a sustained period when they are stroked with another material(may be the same or a different material).

Can someone help me as a am racking my brain. I have been given this question; Two oil pipes with circular cross-sections are subject to the constraint that the sum of their diameters is 1m. By using careful reasoning find the diameters that give the maximum and minimum possible combined...

A non-conducting sphere of radius R = 7 cm carries a charge Q = 4 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere does the electric field reach a value equal to half its maximum value? My attempt: Emax= q(4mC)/7 r= 7/2 cm = 3.5...

Double slit interference "missing" maximum problem Homework Statement In the double slit interference experiment, d is the distance between the center of the slits and w is the width of each slit. For incident plane waves, an interference maximum is "missing" when what relationship between d...

Homework Statement The maximum displacement at the tip of the tine of a tuning fork oscillating at 440 Hz is 0.1 mm. What is the maximum acceleration in g’s? Homework Equations (1 g = 9.8m/sec2) The Attempt at a Solution

Homework Statement Two small identical discs, each of mass ##m##, lie on a smooth horizontal plane. The discs are interconnected by a light non-deformed spring of length ##l_0## and stiffness ##k##. At a certain moment one of the discs is set in motion in a horizontal direction perpendicular...

Hey guys. I have an unusual question. Lets say the universe is 100,000,000,000 Light years across. (100 billion I think) Lets say there are only 2 bodies that have mass in said universe. One body is at one end of this universe and the other body is at the opposite end. Do these 2...

Homework Statement A locked door handle is composed of a solid circular shaft AB with a diameter of b = 108mm and a flat plate BC with a force P = 69N applied at point C as shown. Let c = 532mm , d = 126mm , and e = 153mm . Homework Equations \taumax = \frac{Tc}{J} T = internal torque...

Homework Statement There is a fire in a building, so the fireman connects a hose to a hydrant that pumps 2 litres of water per second. The exit of the hose has and area of 15cm^2. Which is the maximum floor of the building that the water can reach considering that it exits the hose at an...

Homework Statement a) For the circuit shown, determine the impedance ZL that results in maximum average power transfer to the ZL b) What is the maximum average power transferred to the load impedance?Homework EquationsThevenin, Norton procedures, voltage division, current division, etc etcMax...

I need to find the maximum ##\theta## value with given constant "a" of this function. f(\theta)=\frac{\cos(a\cos\theta)-\cos a}{\sin\theta} So I take the derivative of the function: \frac{d f(\theta)}{d\theta}=\frac d {d\theta}\left(\frac{\cos(a\cos\theta)}{\sin\theta}\right)-\frac d...

Homework Statement \dfrac{tan\left( \theta + 2\pi /3 \right) - tan\left( \theta + \pi /6 \right) + cos\left( \theta + \pi /6 \right)}{\sqrt{3}} \\ \theta \in \left( -5 \pi /12, - \pi /3 \right) The Attempt at a Solution At maximum, f'(x)=0 sin(θ+∏/6)=0 But there is no theta in...

In SHM , we can only have negative acceleration, and maximum accelration is zero. Is that correct? What is the maximum acceleration here? http://answers.yahoo.com/question/index?qid=20110207103646AAij3SF Thank you.

θHomework Statement The attached diagram depicts a sphere with several variables: the height of the cylinder, the radius of the cylinder and an angle. All that has been given to me is the hypotenuse of a triangle used. Homework Equations To my knowledge I was told to use 2sinθcosθ=sin2θ...

A system is constructed as illustrated. Each resistor is rated at 0.50 watts. What is the maximum Voltage that can pass through the circuit without burning out a resistor. http://i.imgur.com/uowKVxU.jpg I'm assuming you'd have to narrow it down to which resistor would burn out first, however...

Homework Statement An object of mass 50kg rests on a rough plane incline at an angle alpha to the horizontal. It is supported in this position by a light string parallel to the plane. The string has a breaking strain of 200N and the coefficient of friction between the object and the plane is...

Hi Please can someone help me calculate the minimal thickness and width that will resist bending in each of the aluminium beams that are fixed on one end and support a 0.0013734 Newton load on the other. The axis passes through the center of the octagonal shape and goes into the page...

Homework Statement Drawing of the Problem An electron rests on plate A and is accelerated by a 400V Plate (B). From there, Calculate the Maximum Voltage a 3cm plate (C) can be charged before the electron makes contact with the plate. Directly opposite Plate (C), is a +100V Charged Plate...

Homework Statement A turntable is rotating at a constant angular velocity of ω = 4.0 rad/s in the direction of a clockwise fashion. There is a ten-cent coin on the turntable, at a distance of 5 cm from the axis of rotation. Consider the time interval during which the turntable is...

Homework Statement http://i.imgur.com/haX3OW8.png Homework Equations The Attempt at a Solution I guess a) is 1/3 (probably wrong, because I assumed all the field lines that end at -q originates at +3q which is not necessarily true) but I can't figure out b)

Title: The title should actually read Finding the acceleration of a piston with respect to a cranks angle Homework Statement I have found a formula for calculating the acceleration of a piston, with respect to a cranks angle, however I've also found a couple of online calculators that give...

Hello I am currently working on a program that will take the values from a .csv file containing multiple data and analyzing them. The file can be found here: https://docs.google.com/file/d/0BzuDEPd26OcheVhiWlZ3STlZU0k/edit?usp=sharing The data in question starts in row 11 and is in the first 4...

Homework Statement Homework Equations The Attempt at a Solution I am not sure which equations to start with here. Let ##\mu## be the coefficient of friction. The maximum velocity is attained when it is just about to slip i.e \frac{mv_{max}^2}{R}=\mu mg where m is the mass...

Homework Statement In the badly loaded front-wheel-drive minibus shown in Figure Q26 the centre of gravity has been moved away from the driving wheels, determine the max acceleration possible in m/s2 if l=3.0 m, h=1 m, and the static co efficient of friction μs = 0.3. (Image is attached below)...

Homework Statement I am trying to understand the implications of the principle that the maximum non-expansion work, dwadd is equal to the Gibbs energy change for a reversible process. Homework Equations For a reversible process, dwadd = dG. This is provided that the process takes...

I have a successive approximation ADC converter (left) and is connected to a DAC converter. The Vref of the ADC is 10V and the Vref of the DAC is brought fom an internal leg of the SAR. This internal leg is the output of the SAR's internal DAC. The question is: what can be the maximum...

Magnetism of a bar magnet -- maximum rate of change? If a bar magnet is placed along the x-axis with (0,0) at its center, along which axis does the magnetic field fall off faster and why?

Homework Statement The uniform quarter-circular sector is released from rest with one edge vertical as shown. Determine its subsequent maximum angular velocity. The distance b is 560 mm. Homework Equations The Attempt at a Solution I know that I need to use: T1 + V1 + U'1-2...

Homework Statement A 275 KG steel mass is held by a long cable to the ceiling. Daniel hits the steel mass horizontally and gives it a horizontal speed of 1.75 m/s. Assuming there is no friction, determine the maximum height gain, in centimetres, of the steel mass after the collision...

So I've got a question that I can't seem to figure out. If the accretion efficiency of a black hole is L=εM(dot)c2 with ε=0.1 I have to set this to the Eddington luminosity which is Ledd = 4πcGMmp/σT to find the maximum rate at which a black hole can accrete by. I found that κ=mp/σT so I...

I've got a question that asks what the maximum scattering angle in \nu_\mu e \rightarrow \nu_\mu e is. The electron is stationary in the lab frame and after the collision has E >> m_e. The answer given is \sqrt{\frac{2 m_e}{E_e}}, independent of the neutrino's energy. How can I get...

Someone please help me with this question. I can't do and I have a calculus exam in the morning.

Homework Statement 2. A block of mass 35 kg is on a flat floor with a static friction coefficient of 0.36 and a kinetic friction coefficient of 0.29. A person attempts to slide the box from rest in a forward direction. Find the maximum frictional force experienced and the acceleration of...

Find the maximum of the expression x^4y+x^3y+x^2y+xy+xy^2+xy^3+xy^4 if x,\;y are real numbers with x+y=2.

how do you prove that the maximum no. of electrons in the nth shell of an atom is twice of n squared (2n^2)

Homework Statement For the attached emitter follower circuit, calculate the maximum ac power (Sinusoidal signal) delivered to an attached load. I have already calculated Rout of the circuit as 19.2Ω, and the voltage at the emitter at operating point (no input signal) as 10.7V (I know...

Hi Folks I need a bit of help, My weakness is kirchhoffs law and algebra, I know but I still give it a try. For this task I am required to calculate the value of the load (RL) using kirchhoffs and then I have to find the maximum power transfer for the circuit. I have attempted to calculate the...