Max Definition and 1000 Threads

Homework Statement The Attempt at a Solution I was able to find the net resistance as its a balanced wheat stone bridge ... But how to find R for max power delivered?

Hi everyone, I'm having trouble with this problem and I think I never wrote down the equation for this question. Can someone help me? Thanks! A car enters a level circular curve of radius 50.0 m. If the coefficient of static friction between the tires and the road is 0.600, what is the...

in a sinusoidal circuit, only the resistive part gives the average power. so why is the load impedance the conjugate of thevenin resistance, consisting of both the resistive part and inductive part, required for maximum average power?

i have been pondering why is max speed 3x10^8m/s and what govern that speed. why can't it be like 4x10^8m/s or smth?

Homework Statement The graph below shows the potential (V) applied to, and the current I(mA) drawn by, an electrical circuit. Use the max and min slope method to determine the: a) equation of line of best fit of the graph below (answer must be and equation relating to V and I). Your answers...

What is the minimum and maximum slope method and how do i use this to determine the line of best fit and uncertainties in the data? I can't find information on google or my textbook about this method which is odd.

Hi, I'm researching into what will be the best size wheels to put onto a motor to allow my robot to climb an incline, and then possibly find out what is the maximum incline it can reach. I'm using this thread as a source for the math...

Homework Statement Homework Equations I don't know the relevant equations for V max, V min and V rms. But I found some equations say Vpp ( voltage peak to peak ) = 2 * Vp ( V peak) V rms ( RMS voltage of the AC signal) = Vp / square root(2) The Attempt at a Solution I calculated the Vpp...

Homework Statement A spring is fixed at one end to the ceiling, with an ball of mass, m, and radius, r, hanging vertically at the other end of the spring. The system is in equilibrium. The spring has constant, k, and natural length, l0. I then pull the ball down to an extension, x1, from...

I cannot seem the crack this problem. The solution may be trivial, but normal methods of max/min do not seem to work. Thanks for your help. Homework Statement Suppose it to be known that consumption of coal by a certain ship may be represented by the formula y = 0.3 + .001v3 Where y...

Hi all, I have a question, where I am given just the angle at which the object is fired at to the horizontal and the amount of time the object stays in the air. How can I possibly find the distance at which the object will land from the origin if I don't have the velocity at which the object...

Homework Statement A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000 N/m. The block slides down the ramp and compresses the spring. Find the maximum...

I have a function with one and only one local/global maxium... (i.e. half the function has positive slope, half the function has negative slope). And I want to find the maximum point on the function. How can I find the function's max? I was thinking of turning the function into its...

Homework Statement A 500 g block is released from rest and slides down a frictionless track that begins 2.00 m above the horizontal. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring stiffness constant 20.0 N/m. Find the...

Homework Statement A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 53.9 m/s^2. The acceleration period lasts for time 7.00 s until the fuel is exhausted. After that, the rocket is in free fall. Find the maximum height ymax reached by...

Homework Statement A projectile is launched from ground level with an initial speed of 48.7 m/s. Find the launch angle (the angle the initial velocity vector is above the horizontal) such that the maximum height of the projectile is equal to its horizontal range. (Ignore any effects due to...

Hello, I did a wind tunnel test with a NACA 0012 airfoil. And my results showed that the highest lift-to-drag ratio occurred at an angle of 12degrees where as my maximum lift is at 15degrees. I even read somewhere that these values do differ but there was no such explanation as in why is that...

Homework Statement Find the critical point for z=(x^5)y+(xy^5)+xy Homework Equations fx(x,y)=(5x^4)y+(y^5)+y=0 fy(x,y)=x^5+(5xy^4)+x=0 The Attempt at a Solution After finding fx and fy shown above, I attempt to find the critical points in one of the equations above, but the only...

Homework Statement If x,y\in R and x+y=1.then find max. and Min. value of (x^3+1)(y^3+1) (Without using calculus) Homework Equations here x+y=1 and (x^3+1)(y^3+1) The Attempt at a Solution I have done using Calculus...

Homework Statement Derive a formula for the maximum speed V_max of a simple pendulum bob in terms of g, the length l and the maximum angle of swing Θ_max. (Hint: Use the fact that the same amount of energy at the top of the arc is the same as at the bottom of the arc.) The picture depicts...

1) function [p,q] = maxEntry(A) % A is an m-by-n matrix. %p and q are indices with the property that |A(p,q)|>=|A(i,j)| % for all i and j that satisfy 1<=i<=m, 1<=j<=n. 2) function s = totalSum(A) % A is an m-by-n matrix % s is the sum of all the values in A complete them without...

Homework Statement An open box with a square base is to be constructed from 3 square feet of material. What dimensions will produce a box with maximun volume? Homework Equations v = l * w * h The Attempt at a Solution any other formulas involved.. ? help... and thanx!

1. A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by N() = 1500 + 12t^2 - t^3, 0≤t≤50 At what value of t is the number of bacteria maximal? 2. Possible answers a. 10min b. 9min c.8min d.0min...

If I consider a simple example of charging a capacitive load with a low impedance source, and charge the capacitor through a diode, I will have a very high current spike through the diode while the capacitor charges to the supplied voltage. When I look for diodes and see their peak pulse...

Homework Statement A ball is thrown vertically upwards at speed v0. Assume drag force is proportional to v2. a) Show that, while moving upwards, Newton's Second Law gives a = -g(1+v2/vt2) where vt is the terminal speed. b) Take v0 = 3vt and solve for v(t), the time tmax at which it...

Homework Statement A ball is thrown with speed v from height h. What angle should it be thrown so it travels the maximum horizontal distance? I'll assume the angle theta is the angle from the horizontal to the initial direction of the velocity. Okay, since there is no air resistance we...

Homework Statement An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.16 m/s, and its maximum acceleration is 6.52 m/s2. How much time elapses between an instant when the object's speed is at a maximum...

I'm new to the forum and hope someone can help me out. I've attached a picture so hope it works. I have a ladle for pouring metal, the mass of the ladle itself is 60kg and the max. mass of material that can fit in the ladle is 90kg. Total mass 150kg. The ladle has a tapered profile, so the...

Homework Statement Curve radius is 230 meters and friction value between car tires and road is 0.87. Find the maximum speed of a car that wants to successfully pass through that curve.Homework Equations Friction force = k * N Perimeter of a circle = 2 * pi * r F = m * g w = (f-f0)/t a = r * w^2...

Homework Statement A car of mass 1800 kg rounds a circular turn of radius 10 m. If the road is flat and the coefficient of static friction between the tires and the road is 0.40, how fast can the car travel without skidding? Homework Equations The Attempt at a Solution I thought...

Homework Statement An electron is projected at an angle of 29.1° above the horizontal at a speed of 8.29×105 m/s in a region where the electric field is E = 378j N/C. Neglecting the effects of gravity, calculate the time it takes the electron to return to its initial height, the maximum height...

Homework Statement What are the dimensions of the base of the rectangular box of the greatest volume that can be constructed from 100 sq inches of cardboard if the base is to be twice as long as it is wide? Assume the box has no top. Homework Equations V box = lwh A = lw ? The...

Homework Statement A body is thrown into the air with an initial velocity of v0. What initial velocity is required to double the maximum height previously attained?Homework Equations The Attempt at a Solution I found the max height v02/64 at v0 by solving for 't' in the velocity equation when...

Dear forum members: After numerically solving a differential equation and plotting the results I would like to determine the single maximum value in the plotted range but do not know how. The code below works for numerically solving the differential equation and plotting the results...

I know, theoretically ultrasound has no upper limit (everything above 20kHz).. However, I was wondering whether on a practical note a maximum exists? I read somewhere that frequencies of the order 10^12 Hz were reached. Would a maximum frequency be based on the mean free path between the...

A 1 kg puck slides at 20m/s along ice, then hits and compresses a spring with a constant of 35N/M. When it first hits the spring, the puck experiences a frictional force of 4.0 N opposing its motion. What is the maximum compression of the spring? Homework EquationsKE=1/2mv^2 The...

Homework Statement From a square piece of cardboard, 30 cm on each side, an open topped box is to be constructed by cutting the squares from the corners and turning up the sides. What are the dimensions of the box of largest volume? The Attempt at a Solution I know how to do...

Homework Statement A car travels over a humpback bridge of radius of curvature 45m, what is the max speed it can reach before the wheel lose contact with the road? Homework Equations mg - R = (mv^2) / r The Attempt at a Solution When the car is about to lose contact with...

Find the max value of 5t/ (2t^2 +7) I got answer as sqrt/3.5h Tangent to curve y=x^3-6x^2+8x at pt A(3,-3) also intersect curve at another point B. Solve pt B (x,y) I did y'=3x^2 -12x +8 y'=3*3^2-12*3 +8 =27-36+8 =3 y=3x+b -3=3(3)+b b=-9 y=3x-9 I don't know what to do from...

Homework Statement Find the absolute maximum and the absolute minimum of the function, f(x,y) = x^2 + 2xy - y^2 on the region bounded by, x = \sqrt{1-y^2},y=x \text{ and } y=0 Homework Equations The Attempt at a Solution See figure attached for my attempt. Everything...

So I have this graphics card and I don't understand why its specs say "no" for 1080p support. http://www.tigerdirect.ca/applications/SearchTools/item-details.asp?EdpNo=5274435&CatId=3669 It says max resolution 2560x1600 and 1080p is only 1920x1080. I use a 32" LCD for my monitor and my...

Homework Statement a)f(x) = sqrt(3 + x^2) - 3 x, text( ) text( ) [4, 6] [Find the max. and min. values] b)y = (3 - x)/(x^2 + 9 x), [2, 7] The Attempt at a Solution a)I know how to get the max. and min. value, but before knowing them I need to know how to get the critical points from f(x)...

Homework Statement My brain hasn't been working lately so if you see something weird in my proof pardon me and advice me against it. So the problem states: Show that an even degree polynomial has either an absolute max or min.Homework Equations The Attempt at a Solution Let f(x) be an even...

Homework Statement Find the maxima and minima of the function f(x)=tan(sinx + sin3x) on the interval (-pi,pi) Homework Equations The Attempt at a Solution I found the derivative as sec^2x (sinx +sin3x) (cosx + cos3x) and when i set it equal to zero i found critical points at...

Homework Statement Find the angle that gives maximum horizontal distance for a projectile launched from a 9 ft cliff. y = \frac{g}{2V_0^2} sec^2(\theta)x^2 + tan(\theta)x+h g = -32 ft/s^2 h = 9 ft V_0 = 26 ft/s the variable y denotes the vertical position of the object but since we're only...

Homework Statement A square coil (25 x 25 cm) that consists of 50 turns of wire rotates about a vertical axis at 1000 revolutions per minute. The horizontal component of the Earth's magnetic field at the location of the coils is 2 x 10-5. Calculate the maximum voltage induced in the coil by...

In electrical circuits, maximum power transfer is obtained when you have your impedances matching? What would be the analogue, or equivalent requirement in order to maximally transfer power in a car or mechanical device. For a given gear ratio, there must be an optimal speed that maximally...

Homework Statement Two walkers start at the same time from the same place and travel in the same direction with velocities given by A(t) = 1 - e-t miles per minute and B(t) = 0.2(et - 1) miles per minute and t > 0. They travel until they have the same velocity. At what time is the distance...

This is my first post on PF, I've been a "Google lurker" for ages though, love the quality of the help provided here. I've done a search and found similar questions for when f, g are uniformly continuous and max(f,g) is discussed, but this question is purely for (x,y) in R^2. So hopefully, I...

I'm reading Max Born's "Einstein's Theory of Relativity", 1962 version. On page 297 he says that a wire with a current in it is electrically neutral and surrounded by only a magnetic field. Yet on page 161 he says that current in a wire is the result of an electric field. It would seem that...