Max Definition and 1000 Threads

Hey! I have a project where I'm building a car running from direct sun-light only using solar-panels and bike hub motors. I would like to determine max velocity before cashing out on motors and panels. I have some numbers from the panels and motors I looked on, how do I turn them into the max...

finding the max. extension in the spring...! Okkay so i have to calculate the max. extension in a spring attached with two blocks of mass m and M. The box of mass M is pulled with a force F. The system (blocks of masses m1 and m2 and the mass less spring) is placed on a smooth surface...

Homework Statement 6. Based on what you can tell so far, if you have an N number of capacitors (say at a nuclear fission site) and you need massive power storage, you would place the N number of capacitors in a. Series b. Parallel c. Combination of series and parallel d. Both choices a and b...

Homework Statement Hi guys, I just wanted to confirm I am doing this right. I have a graph of energy (Joules) vs. time (seconds). I need to get the force from this information. If I know the linear distance the object has traveled, can I use the work equation W= Force* Distance, and solve...

$m,n \in N$ satisfying : $\sqrt {m+2007}+\sqrt {m-325}=n $ find Max(n)

Find the maximum ##\theta## of \left[\frac{\cos\left(\frac{kl}{2}\cos\theta\right)-\cos\left(\frac {kl}{2}\right)}{\sin\theta}\right]^2 So I need to find the maximum of F(\theta)=\frac{\cos\left(\frac{kl}{2}\cos\theta\right)-\cos\left(\frac {kl}{2}\right)}{\sin\theta} First I differentiate...

Decide max and min value for $$f(x,y)=x^2+y^2+2x-2y+2$$ where $$x^2+y^2 \leq1$$ progress: for solving that equation $$f_x(x,y), f_y(x,y)$$ we get the point $$(1,-1)$$ if we do parametric $$x= \cos(t) \, y= \sin(y)$$ where $$0\leq t \leq 2\pi$$ if we put those value and simplify and derivate we...

Homework Statement You must evaluate the relationship between fuel consumption and the attainable velocity of a new jet fighter. Given that: Force of jet= A(r(t))4/3 A: constant determined by the fighter model in the class being considered and the drag force on the plane r(t): the...

Homework Statement I am trying to write a program to calculate an integral using Simpson's Rule. My program also needs to calculate the error. In the formula for error I need The max value of the fourth derivative. The function is 2.718281828^{\frac{x^{2}}{2}} and the interval is from 0 to 2...

what is the max free air heat transfer coefficient(film coefficient)? at 1000 c? i have a object that is at 1000 degree c by applying 900watt. i model it solid edge and apply heat generation load of 900 watt, from what i research air convection is 5-25 w/m^2/k. but when i apply that in the...

I am trying to understand Gaussian curvature. This led me into looking at principle curvature. Now If one takes a look at the picture of the "Saddle Surface" on Wikipedia here: http://en.wikipedia.org/wiki/Principal_curvature I see that at the point p on the saddle where curvature goes both...

Homework Statement A model land-yacht runs on a horizontal frictionless oval track as shown (viewed from above) in the figure. The curved parts of the track are semi-circles of radius R = 0:5 m; the straight sides have length L = 1 m. The mass of the yacht (including its sails) is m = 0:5...

Homework Statement The position of piston Cd is locked and force P = 350lb is applied as shown. The diameter of all pins and bolts is 3/8 in., member BCE has a thickness of 1/4 in., and member Ef has a width of 1 in. adn thickness 1/4 in. Homework Equations The Attempt at a...

Homework Statement I have attached the two questions. the first has a diagram. 1. Find the MAX Induced EMF (in volts) in the loop by the changing current? 2. What is the magnitude of the EMF induced in the loop by the changing current at t=.8 (seconds) answer in Volts? Homework...

Homework Statement A mass of 122 g is attached to a vertically hung spring. The mass stretches the spring 13.8 cm. (a) What is the spring constant of the spring? (b) If the mass is dropped from rest from a position where the spring is just relaxed, what will be the maximum distance the...

[SOLVED]Trig problem: max square cut from circle Since this one is homework related, ill ask this as a procession so that I can make sure that I am grasping the logic. the question is that with a round log with a diameter of 16cm, what is the strongest log that can be cut where the strength =...

considering the set of triangles, whose sides are the x and y axes, and the tangents to the curve $$e^{-5x}, x>0$$ to estimate the maximum area of such a triangle can be. I have no progress, well I know area is $$\frac{x*y}{2}$$.

Calculate highest and lowest value of the function $$f(x,y)\frac{6}{x^2+y^2+1}+3xy$$ in the range $$\frac{1}{3}≤x^2+y^2≤2$$ Progress $$f_x(x,y)=3y-\frac{12x}{(x^2+y^2+1)^2}$$ $$f_y(x,y)=3x-\frac{12y}{(x^2+y^2+1)^2}$$ Now when I have derivate respect to x or y I shall find critical point...

Homework Statement An object of mass 3.0kg is whirled around in a vertical circle of radius 1.3m with a constant velocity of 6.0m/s. Calculate the maximum and minimum tension in the string. mass=3.0kg v=6.0m/s radius=1.3m Homework Equations Fc=mv2/r Fun=ma The Attempt at a...

Calculate max and min value of the function $$f(x,y)=x^2+y^2-2x-4y+8$$ in the range defined by the $$x^2+y^2≤9$$ Progress: $$f_x(x,y)=2x-2$$ $$f_y(x.y)=2y-4$$ So I get $$x=1$$ and $$y=2$$ We got one end point that I don't know what to do with $$x^2+y^2≤9$$ If I got this right it should be a...

Calculate max and min point to function $$\frac{x^3}{2}-|1-4x|$$ in the range $$\left(0,2 \right)$$ I got one question, shall I ignore when it's $$\frac{x^3}{2}-(-1+4x)$$ cause then $$x<0$$ and that don't fit in my range? Do I got correct?

calculate max and min point of the functuin $\ln(x)+x-2x^2$ in the range $(\frac{1}{6},\frac{3}{2})$ I start to derivate it $f'(x)=\frac{1}{x}+1-4x$ And my next step is to fined critical point but I got problem to solve this equation. $\frac{1}{x}+1-4x=0$

Hi, I'm having a bit of difficulty deriving the time to max activity for the case of transient equilibrium for a parent-daughter. This is where I want to get to , tm = (1 / (λ1-λ2)) * 1n(λ1/λ2) I believe there is an alternative equation for tm as well expressed in terms of half-life...

find the max value of xy (done in a "weird" way) Homework Statement so our teacher assigned this homework in the last 10 minutes we haven't read the function with 2 variables and I've never seen/used one (things were just getting in my head since it's only 10 mins i don't know if I'm making...

Problem #1: What i did so far was I source transformed the left side with the Io and 4Ω into a voltage of 4Io. Then i did mesh analysis, io and i2. the eq'ns i got are 4vx - 2I2 - 2Io = 0 10i2 - vx - 2io = 0 IM not sure if this is right but does i2 = vx/4?? because of I = V/R? I worked...

Homework Statement http://i.imgur.com/4kztfIs.png The Attempt at a Solution According to the solution, the max velocity is when the entropy of state 1 is equal to the entropy at state 2. Why is this the case? My friend says it is because the system is isentropic but I am still very...

Homework Statement A mass m = 0.5 kg is dropped from a height of 1.5m above the end of an uncompressed vertical spring with k = 500 N/m. What is the maximum compression of the spring? Homework Equations f_sp = -kx W_sp = 1/2 kx^2 W_nc = ΔK + ΔU K = 1/2 mv^2 U = mgh W = Fdcos∅ p =...

Tarzan, who weighs 662 N, swings from a cliff at the end of a convenient vine that is 21 m long (see the figure). From the top of the cliff to the bottom of the swing, he descends by 2.8 m. The vine will break if the force on it exceeds 1340 N. What would the greatest force on the vine be during...

Homework Statement http://imageshack.us/a/img831/2617/homeworkprobsg213.jpg Find the load RL that will result in maximum power delivered to the load of the circuit. Also determine Pmax deliveredHomework Equations V = IR, KVL, KCL, voltage division, current division Thevenin procedures,Pmax...

Any help is appreciated, I'm really just trying to figure out if it can withstand 300 meters but it would be useful to see how/if a max depth can be calculated. diameter: 20M steel density: 7850 kg/m^3 weight: 250,000 kg shell thickness: 2.54 cm density of water: 1027 kg/m^3 How much...

Homework Statement A turntable of radius "r" is spinning counterclockwise at an initial rate of ω. at t=0, its rotation rate begins to slow at a steady pace. the rotation finally stops at t=T. At what time is ωt^2 maximum. Express your answer in terms of T.

A uniformly tapering cantilever of solid circular cross-section has a length L and carries a concentrated load at the free end. The diameter at the fixed end is D and at the free end d. Show that the position of maximum bending stress occurs at a section (d/(2(D-d))*L distance from the...

Hi all, I have gave this question a lot of thought but can't seem to get anywhere. Any help will be much appreciated. Homework Statement For a digital logic inverter for which k'n = 120 uA/V^2, k'p = 60 uA/V^2, Vtn = |Vtp| = .7V, VDD = 3V, Ln = Lp = .8 um, Wn = 1.2 um and Wp = 2.4 um...

I am trying to remember a quote I once read by Max Planck. Max Planck, Albert Einstein, and other scientists were at a meeting or convention regarding relativity or some other scientific theory. Planck said something like "As the [some scientific theory] cannot extend the time for this...

$ 4^{27}+4^{500}+4^\text{n}=\text {k}^2 $ where n and k are positive integers ,please find max(n)

Homework Statement See attached image Homework Equations Δphi = 2pi(Δx/λ) + Δphi0 = 2pi(m) -- at the maximum Δphi = (m + .5) (2pi) -- at the minimum The Attempt at a Solution The first step should be to solve for lambda, the wavelength. So I plug in the knowns: At 30 cm...

I have a 36" OD aluminum drum within another 48" OD aluminum drum creating 6” channel between the two diameters. The total height of the drum assembly is 16” This design project that I am working on requires me to fill this channel up with 12” of water which equates to about 342.5 lbs of water...

Hi, does anyone know how I can find out the max. concentration of Cs-137 and Sr-90 in water?

Homework Statement The two cars A and B enter an unbanked and level turn. They cross line C-C simultaneously, and each car has the speed corresponding to a maximum normal acceleration of 0.94g in the turn. Determine the elapsed time for each car between its two crossings of line C-C. What is...

Homework Statement Show that v_max = w_max * Length of string where v_max is the velocity of the simple pendulum and w_max is the maximum angular velocity. Homework Equations \omega_{velocity} = -\theta_{max} \cdot \omega_{frequency} \cdot sin(\omega_{frequency} \cdot t + \phi) The...

Will two-way SLI GTX 680's (overclocked) run any PC game on max spec @1920x1080 with smooth framerates? I read that the new GPU benchmark is Metro The Last Light. No other PC title will test your hardware like that game..

Homework Statement A simple pendulum has a ball at the end of mass 5 kg and the length of the string is 5 m. Given \theta = 0.0800 \cdot cos[4.43t + \phi] find the maximum velocity Homework Equations \frac{1}{2}mv^2 = \frac{1}{2}kA^2 The Attempt at a Solution \frac{1}{2}mv^2 =...

Homework Statement For the circuit in the picture below, with V_{c}(t=0) = 0 and a voltage source with period T described by V_s(t) = \sum_{-\infty}^\infty (-1)^{n}g(t-nT) where g(t) = 7[u(t)-u(t-T)]\quad [Volt] and u(t) is a step function described by u(t) = \begin{cases} 1 &...

The speed of a body mass m = 1.6 kg moving in a straight line varies smoothly. It is measured five times, at two second intervals. The values are 7.00, 7.77, 8.89, 9.80, and 10.50 (m/s). What is the maximum value of the force acting on the body? I tried taking the average acceleration of the...

Homework Statement See attached screenshot Homework Equations Vmax=Aω ay=-ω2A The Attempt at a Solution The given max velocity is 1.2 m/s, so 1.2 = ωA Ay = -ω^2A 1.2/A = -√260/A A = 0.005

Homework Statement I have a wire of some resistance, resistivity, and length. What is the maximum error in measuring the diameter that you can have if the resistance is to have 1% uncertainty? Homework Equations R = \frac{ρ*l}{\pi*r^{2}} for which I substituted the area as \pi(.5...

I am doing some independent study and appreciate that a polynomial (in x) of integer degree (n) can have at most n roots; many proofs to this effect exist. My query concerns the number of roots of equations in which the powers of x are not integers (or rational numbers) but irrational...

Homework Statement Given: f(x) = 1/2 - 1/4 |d-x| where x is the deliver date If the actually delivery date from target date falls within the interval of 6 < x <8, an incentive award of C results. However if x < 6, a penalty of C1 is imposed, while if x > 8, the penalty is C2. Find the...

Homework Statement Prove that that the power given by \bar{P} = \frac{1}{2} \gamma m \omega_r^2 A_{(\omega)}^2 is at a maximum for \omega_r = \omega_0 Only variable is \omega_r \omega_r is the resonant frequency of the external force while \omega_0 is the eigen frequency of the...

Hello all, I have a question: assume in matrix M(n*n), each element M(i,j) of matrix is computed as M(i&)*M(&j) / M(&&) where M(i&) is the summation of ith row, and M(&j) is the summation of jth column and M(&&) is the summation of all M(ij) for i=1..n and j=1..n. Now I want to know what is...