Max Definition and 1000 Threads

1. Can I use the surface charge equation: $$Q = \frac{Vk\epsilon_0A}{d}$$ Where V = Voltage, k = dielectric constant, ϵ0 = permittivity of free space , A = Area of plate and d = distance between plates. For a conductive plate within an electric field? My thinking is that if the plate is...

I'm trying to make some simple rails for a makeshift server rack. I already have some aluminum angle (6063-T52) that has 2" legs and .125" thick. I have been trying to figure out how much weight could be safely held and can't find anything that makes sense. The weight load is fairly evenly...

The great Swedish actor has passed away. Very sad. I rewatched The Seventh Seal recently and his was an astonishing performance. https://www.bbc.co.uk/news/entertainment-arts-51803195

Yes, that 737 Max. News. It's unclear if these airplanes were supposed to be delivered to customers already if the 737 Max wouldn't be grounded for other reasons, but foreign objects in more than half of the inspected planes is certainly nothing customers want to see. There are 350 more aircraft...

Let f be the function defined by $f(x)=\dfrac{\ln x}{x}$ What is the absolute minimum value of f a, 1 b. $\dfrac{1}{e}$ c. 0 d. e e. none ok I assume we take the derivative and then set it to zero $\frac{1-\ln\left(x\right)}{x^{2}}=0$ $x=e$

Drawing the graph in 3d you see endless "mountains and valleys" which logic tells me there will also be infinite max min points in 2d regardless of where you slice the graph. apparently this is wrong and there is a finite max/min points in R^2/2D. Please note this problem does not have a domain...

Hello, I hope I'm in the right topic. I search to know, how many pack the red interlayer on the drawing can support on an easel inclined of 4°. One pack (blue in the drawing) = 2500kg There can be max 20 pack of 2500 kg by side of the easel = 50000 kg One pack measures : 3200x2250x140 mm...

In the case where ground clearence isn't the limiting factor; Since motorycles are steered using countersteering, a motorcycle cornering at constant max g can achieve any decrease of lean angle (bringing the bike up) by turning harder towards the inside of the turn momentarily, which is not...

First I took the partial derivatives (f'x=0 and f'y=0) and got x=-1 or 1 and y=0 but these values are outside our definition right? I did a parameter change to trigs and got result f(0,2) is max and f(-2,0) is min. is this correct? edit: maybe its f(1, 3) is max?

NOTE: THIS IS THE GRAPH PROVIDED At first I approached this problem attempting to solve for the total work done, using the formula Wtotal = Wmaxforce - Wfriction I then subbed into the formula, representing the values of work as their torque value times theta, which gave me a longer algebraic...

Hello All. I am mentoring a high school student in my area with his class project for school. He has chosen he wants to launch an object (in our case, a softball) into a 5' diameter area. The idea is to build basically an oversized slingshot using an extension spring as the source of energy. We...

Hello! I am stuck on part of a problem and was wondering what I am doing wrong. For part a of the problem, we were asked to find the impact speed. I did this in a photo below given the following values: Θ = 30 degrees. The initial velocity = 10 m/s. The coefficient of kinetic friction = 0.4...

Even if we manage to travel back in time, according to relativity, we could never travel to a moment before we started our journey, right? So in particular I could not enjoy some moments again with a relative that passed away, say 10 years ago?

I'm trying to solve the vector potential of a solid rotating sphere with a constant charge density. I'm at a point where I'm performing the final integral that looks like $$ -\left( \frac {\mu_0 i} {3} \right) \sqrt{\frac 3 {2\pi}} \frac {q\omega}{R^3} Y_{1,1} \int_0^R (r')^3 \frac {r_<}...

Magnitude of acceleration of system: a = (4.59kg - 1.71kg)(9.81N/kg)/(4.59kg + 1.71kg) = 4.48 m/s^2 Velocity of lighter mass when heavier one hits the ground: vf^2 = vi^2 + 2ad = 0 + 2(4.48m/s^2)(2.60m) vf = 4.83 m/s [up] I am not sure what to do from here? I don't really understand what...

$\text{22. Let f be the function defined by $f(x)=\dfrac{\ln x}{x}$ What is the absolute maximum value of f ? }$ $$(A)\, 1\quad (B)\, \dfrac{1}{e} (C)\, 0 \quad (D) -e \quad (E) f\textit{ does not have an absolute maximum value}.$$ I only guessed this by graphing it and it appears to...

Problem Statement: ##2x^2 + y^2 = 4## Max and min of ##4x + y^2## ? Relevant Equations: F'(x) = 0 To find critical point X = 0 -> y = +- 2 Y =0 -> x = +- ##\sqrt 2## I input that Find f(xy) = 4 and f(xy) = +-##4\sqrt 2## To find with derivative i find both x and y are zero The answer is wrong

X-1 > 0 x>1 $x^2$ - 2x >0 X>2 For 0<x<1 f(x) = -x +1 + -$x^2 $ +2x For 1<x<2 f(x) = x -1 - $x^2 $ + 2x Find each of the equation the critical point By using f'(x) = 0 And decide which is max and min I get x = 1/2 and x = 3/2 But it's wrong Why?

Hello All! I'm new in this forum, so if I select wrong subject or something then sorry. I'm very, very far from physic, so I need your help. In work, I have to calculate max current for HV power line. As input have conductor temperature [*C] and material parameters (the resistance in ohm of the...

Summary: Yield Strength value as well as maximum load capacity. Need equations and possibly a break down on how to solve the issue. So let's say I have a Wooden Street pole and I want to mount a steel bracket using metal bands to the street pole. The bracket will be mounted to the beam using 4...

My volume integral is... $$\pi\int y^2 dx$$ My surface area integral is... $$2\pi\int y \sqrt {1+x'^2} dy$$I'm fairly sure the variable of integration on my volume and surface area integrals has to be the same, is that right? But when I change the variable in the surface area integral to...

Here's a fully typed version of the problem with a diagramMy attempt: Given the angle of the hill, I know that the horizontal displacement of the arrow and my vertical height on the hill are related by ##Δx=d+\frac h {Tan(60)}## ...(1) where d is the distance of the enemy from the base of...

By using the equation for the Gravitational Potential -GM/R. It is understand that the max Gravitation Potential would be at infinity point. - G(100M)/22R-(-GM/22R) would be the maximum Gravitational Potential... I guess... Then what would be the next step to find the distance?

Hi, I have a question regarding the tragic crash of the latest 737 Max. Is it not a huge error in the flight laws and the MCAS software to execute a nose down maneuver at any altitude? Should the system not have a rule to prohibit such a maneuver below a minimum altitude threshold? I'm also...

Hi Guy Hopefully someone can help me. Here's my project my issues is pulley size for getting the max torque at the impeller blower. I need to found the p2, p3 and p4 pulley size in the picture to get the maximum torque at p5 and p6. Here a link on YouTube of what I have right now it does work...

Hello! I have been working on this problem for a while. Apparently I've found the right answer, but I don't understand why it is correct. Homework Statement Find the maximum and minimum value for the function ƒ(x, y) = 2xy - 13x on the rectangle -3 ≤ x ≤ 3 0 ≤ y ≤ 2 The Attempt at a...

Homework Statement In a convoy on a long straight level road, 50 identical cars are at rest in a queue at equal separation ## 10 m ## from each other. Engine of a car can provide a constant acceleration of ##2 m/s^2##. And brakes can provide a maximum deceleration of ##4m/s^2##. When an order...

Hi, I need help with this problem: Homework Statement Condition: an object has to move from point A to point B in the least time possible. The distance between the points is L. The object can accelerate (decelerate) with a fixed acceleration ##a## or move with a constant speed. What maximum...

Homework Statement 1. A squirrel jumps horizontally from the top of a 25 m tall tree with a speed of 8 m/s. What is the maximum kinetic energy of the squirrel during it`s entire trip down to the ground from the top of the tree? 2.If another squirrel of the same mass jumps straight upward from...

Hi, there's no particular question I need help on - just a few things I need clarifying. To determine the max shear stress, I know max shear stress = (max normal stress - min normal stress)/2, but are these equations true for a 3D stress state? (please look at attached image) Thank you

Homework Statement For the following function ##f(x)=\frac {2x^2} {x^2-4}##, find the following: a) The x and y intercepts b) the horizontal and vertical asymptotes c) the first and second derivatives d) any local maximum or minimum points e) the intervals of increasing and decreasing f) any...

Homework Statement y=0.5x^3 - abs(1-3x), [-2,2] The Attempt at a Solution So i found the min value y(-2)=-11 and i found lokal min at x=sqrt2 There is a sharp max somewhere around x=0.3 but i cannot for the life of me find how to get that point. Also i wrote there is only 1 local min and...

GRE EXAM for admission in postgraduation in physics in USA is of 340 marks. If one scores 330/340 then how much maximum scholarship could he get for masters in a good USA university for physics, he has done research work too? And would he also get reduction in accommodation and mess fees, if...

So I've derived the equation for the amplitude of a driven oscillator as: \huge A=\frac{F}{m\sqrt{(\omega_{0}^{2}-\omega_{d}^{2})^{2}+4\gamma^{2}\omega_{d}^{2}}} Which is what my lecturer has written. Then taking the derivative and setting it to 0 to get the turning point. He makes this leap...

f(x) = ax^3 + bx^2 + cx + d min(1, -4) max(-2, 1) find a,b,c,d

Homework Statement Two-thirds of the weight of a 2000 kg car rests on the drive wheels. What is the maximum acceleration of this car on a concrete surface? Homework EquationsThe Attempt at a Solution Shouldnt I have been provided mu, the coeeficient for friction? Its a mastering physics...

Hi, If I find out the tangential force on the bob at position 1, it turns out to be m*g*sinθ. From this if I find out acceleration by dividing this equation by m, I get only g*sinθ. Does it mean the max acceleration of pendulum has got nothing to do with its length or mass but theta?

Homework Statement For my question, I am following a previous method I used in my HNC where I had to determine the position and magnitude of the maximum bending moment. I am now working on my project and I have revisited this question but I am having some issues in my method. The above diagram...

Homework Statement Homework Equations Minimum/Maximum occurs when the first derivative=0 The Attempt at a Solution $$y=\sin{x}+\cos{x}~\rightarrow~y'=\cos{x}-\sin{x}$$ $$y'=0:~\rightarrow~\cos{x}=\sin{x}~\rightarrow~x=\frac{\pi}{4}+n\cdot \pi$$ It's not correct

i have a value that is generated as the max value for example from this list [0.6000001, 0.3, 0.3, 0.4] clearly the maximum value is 0.6000001 but python does not seem to be able to recognize this value as the maximum. i have tried so many ways to solve it but to no avail. even when changing...

Homework Statement Homework Equations Minimum/Maximum occurs when the first derivative=0 The Attempt at a Solution $$R'=2D\left( \frac{C}{2}-\frac{D}{3} \right)-\frac{1}{3}D^2$$ $$R'=0~\rightarrow~D=C$$

Hi, I'm machining threads on to the ends of chrome rod for use in hydraulic rams. I have a ram which will see a maximum retracting load of 10 ton (98.1kN). For this I'm considering a thread of M30x2mm pitch. The chrome rod we use has a tensile strength of 550 n/mm2 with a yielding of 420 n/mm2...

Homework Statement At what distance, a, along the axis of a uniformly charged disk of radius R is the axial electric field strength equal to one half its value at the surface of the disk at the center. Homework Equations electric field of disk (attached) The Attempt at a Solution First I...

Homework Statement Prove or produce a counterexample: If ##\{a_n\}_{n=1}^\infty\subset \mathbb{R}## is convergent, then ## \min (\{a_n:n\in\mathbb{N}\} )## and ##\max (\{a_n:n\in\mathbb{N}\} ) ## both exist. Homework EquationsThe Attempt at a Solution I will produce a counterexample...

Homework Statement Homework Equations Minimum/Maximum occurs when the first derivative=0 The Attempt at a Solution $$y=20,000+60x,~~P=200-Ax$$ $$N=xP-Y=200x-Ax^2-20,000-60x,~~N'=140-2Ax$$ Two variables

I heard that the average professional boxer's force of punch is between 500-750lb. If the coefficient of static friction of rubber (from shoes) to say concrete is at most 0.85 then why can boxers get hit (especially in the chest) without losing footing? Does it have something to do with the...

Homework Statement Homework Equations Minimum/Maximum occurs when the first derivative=0 GM≤AM: ##~\sqrt{xy}\leq\frac{x+y}{2}## The Attempt at a Solution [/B] If the sum of squares of the distances (setup 2) in an arbitrary point is bigger than the sum of the squares of the shortest...

Homework Statement Homework Equations Minimum/Maximum occurs when the first derivative=0 The Attempt at a Solution $$l_1^2+l_2^2=(a^2+x^2)+[b^2+(d-x)^2]=a^2+b^2+x^2+\left[ \sqrt{c^2-(b-a)^2}-x \right]^2$$ $$(l_1^2+l_2^2)'=2x+2\left[ \sqrt{c^2-(b-a)^2}-x \right](-1)$$...

How can the slightly richer Air fuel ratio produce higher power while the temperature it produces is lesser than slightly leaner(slightly leaner than stoichiometric for best economy)? FYI:I understood that ,at the stoichiometric ratio(precisely slightly leaner due to fast operation of engine)...

What is the max amount of torque that could be applied to 1 in male threaded NPT pipe when it is threaded into a 1 in female threaded body that is made from ASTM 126 cast iron. The dimensions of the threaded female body are shown below.