Max Definition and 1000 Threads

Homework Statement A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end. I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...

Hi, Sorry for the semi-book here I am working on a project where I am mixing h-BN nanoparticles into a polymer resin to try to tailor the thermal conductivity and dielectric strength of the resulting composite. Admittedly I am not very well versed when it comes to materials science...

I have two questions, one is how to calculate the heat dissipation from M1 and M2, and the second is how to calculate the maximum frequency M2 can handle. The LED is a Cree XLamp XQ-D running at 3.1V and 350mA. There is a 3.1 volt drop across the LED leaving 1.9V across M1, M2, and R2. I did...

A pendulum is released from rest at a distance y = H for the y = 0. What is the max velocity? \[ \frac{1}{2}mv^2 = mgh\Rightarrow v = \sqrt{2gh} \] where I assumed there was no air resistance. Would anything change if the system was in a vacuum?

We know that the angle of \(\frac{\pi}{4}\) causes a projectile to travel its max distance when air resistance is neglected. When we consider air resistance is the \(\frac{\pi}{4}\) still the angle that produces the max distance? With air resistance, the projectile with of course travel less...

Homework Statement The current in a 28mH inductor is known to be −10A for t≤0and (−10cos(400t)−5sin(400t))e^(−200t) A for t≥0. Assume the passive sign convention. At what instant of time is the voltage across the inductor maximum? What is the maximum voltage? Homework Equations v(t) =...

Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...

Homework Statement A 230kV, 160km long transmission line has the following parameters expressed on a 230kV, 100MVA base. R = 0.0151 X = 0.1476 Y = 0.288 The sending end voltage of the line is held constant at 1.0 pu. The load at the receiving end has a lagging power factor of 0.8...

Homework Statement These are taken from my class's lecture slides. I'm trying to understand the entire thought process and reasoning, so I'm just wondering what min and max mean in the g(x) function examples. Here is the first example: http://gyazo.com/7f9d707df0c8512bfa91a1f200dc3429.png...

Homework Statement A system can be taken from state A to state B where SA = SB either by (a) directly along the adiabat S = constant, or (b) first along an isochore A to C and then along the isobar C to B. The difference in the work done by the system is simply the area enclosed between the...

Hi, For some reason, when I run this MATLAB code, I'm getting what looks like about 10,000 for Rf for the largest Vo on the graph, but MATLAB is giving me Rf at (Vo)max as 100,001 Any ideas? clc; clear; close all; syms Rf Rf = 0:0.1:100000; VRt25 = 18.*(10000)./(10000 + Rf)...

Homework Statement A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.800 cm. The velocity of the water in the hose is 2.80 m/s and the velocity of the water in the nozzle is 28.7 m/s.s (a) Calculate the maximum height to which water could be squirted if it...

Homework Statement so λT = C = 2.898*10^-3 ,, where lambda Is the most common wavelength in a spectral distribution. How do I find the maximum FREQUENCY? The Attempt at a Solution Maybe this is a fools hope... but could I just put T/ƒ = 2.898*10^3 ? or something along these lines? Idk.. this...

Hello. I'm trying to add a mechanical (pneumatic or electrical) brake to a shaft. I have a 2" diameter shaft rotating at 8 rpm's max. The shaft has and 60" diameter, 6500lb. cylinder attached to it axially. How do I calculate the maximum torque of the shaft? Thanks in advance, Frank

Homework Statement An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height. Homework Equations Vf^2 = Vi^2 +2gt The Attempt at a Solution Couldn't figure out Vi...

Homework Statement A rocket moves upward, starting from rest with an acceleration of 29.4 m/s^2 for 4s. It runs out of fuel at the end of this 4s interval and continues to move upward. a.) how high does it rise from the ground? b.)When the rocket will hit the ground? The Attempt at a...

(1) Confine to a hemisphere of RADIUS r a volume minimum Cone; the plane of the base of the cone matches with the basis of the hemisphere. Find the height of the cone. Answer is H = (sqrt of 3) R

My apologies for asking two questions in a short period of time, this is the last question I have. Hopefully one day I'll be skilled enough to answer everyone elses! :) Homework Statement An empty elevator has a mass of 722 kg. It moves between floors at a maximum speed of 6.00 m/s. The...

Homework Statement My simplified version of the equation: Power plant proposes output power increase from 188MW to 535 MW Excess heat is dumped into river with smelt. Smelt can withstand a 3.44C temp increase River = 222ft wide at dump site. Do not know depth or cross section here...

Homework Statement A ball is thrown upwards from a point near the sidewalk next to a tall office building. At some later time an occupant of the building, exactly 5.1 meters above the point from which the ball was released, sees it pass her window with a speed of 2.9 m/s. Calculate the...

Homework Statement R is Earth radius. A satellite is launched 2R from the center of the earth, vertically above the northpole, at an angle of 60° to the vertical. The satellite crashes on the southpole. Find the launch velocity and the maximum distance to the center of the Earth from its...

I am struggling to remember how to determine the allowable delta max for a beam. I am currently modeling the bending forces upon a piece of square tubing, and though developing delta max seems rather straight forward, I can not seem to remeber how to determine just how much deflection I am...

Is it true that the energy in electromagnetic waves can only be released in "packets" of energy? Or is this only the case for a system where a standing wave change from one mode to another which results in sending out an electromagnetic wave (photon). In other words if I ride on my bike...

Homework Statement The electric field associated with a monochromatic beam becomes zero 1.2*10^15 times per second. Find the max kinetic energy of the photoelectrons when this light falls on a metal surface whose work function is 2.0 eV. Homework Equations The Attempt at a Solution...

Homework Statement Given $$\frac{d^2s}{dt^2}=-Ae^{s/B}\biggl(\frac{ds}{dt}\biggr)^2$$ Show that maximum deceleration (where A,B are constants, v=v_0, and s=-\infty) is \frac{v_0^2}{2eB}. Use the substitution v=\frac{ds}{dt}. Homework Equations See above. The Attempt at a Solution...

What is the theoretical max velocity for a gunpowder fired bullet that we use today in all guns and artillery? What is the MAIN limiting/deciding factor? I'm guessing it would be the gunpowder burn speed/pressure increase right? Now what about theoretical max velocity for...

Homework Statement A man starts riding on a frictionless roller coaster track at initial velocity v_{o}. At point A the radius of the bend is r. a) What is the maximum v_{o} such that when the cart gets at point A it stays on the track? b) Using you answer in a) what should h' be such that...

Homework Statement A dog jumps a distance, L, and a maximum height, H, where the dog only has horizontal velocity when it travels through the hoop. What is the speed of your dog when he leaves the ground? What is the speed of your dog when he goes through the loop? Both answers should NOT...

here is the problem plus the solution. I understand all the steps leading to the green box, but within the green box, first of all i don't understand why they put the line in terms of x: (y-6,y) instead of putting it in terms of y: (x,6-x), or does it not matter? and everything else in the box i...

Hey guys If I have a cylinder of mass 5 kg and release it along the vertical axis onto a spring with stiffness coefficient (k = 1.8 kN), how would I need to set up the work/energy equation(s) to find the maximum compression and deflection of the spring. And what would the maximum velocity...

Homework Statement In a triangle ABC let A,B,C denote the angles of the triangle. Then maximum value of the expression sinA/A + sinB/B + sinC/C is Homework Equations The Attempt at a Solution Applying Cauchy Shwarz inequality \dfrac{sinA}{A} + \dfrac{sinB}{B} + \dfrac{sinC}{C} \leq...

how would describe the max/ min for the a constant function,eg. y =5 would you say all points are absolute and local max and mins?

Homework Statement A projectile of mass m is fired from the surface of the Earth at an angle α from the vertical, where α = 0.46 radians. The initial speed v0 is equal to √{GM/Rearth}. Calculate the maximum height that the projectile will reach. Neglect air resistance and the Earth's rotation...

Here is the question: I have posted a link there to this topic so the OP can see my work.

On this year's Virginia Tech test there was a problem to prove: \frac{x}{1+x^2}+\frac{y}{1+y^2}+\frac{z}{1+z^2}\leq \frac{3\sqrt{3}}{2} when x+y+z=xyz So my approach was to consider the function, f, where f(x, y, z)=\frac{x}{1+x^2}+\frac{y}{1+y^2}+\frac{z}{1+z^2} then restrict f to the...

Homework Statement Today my teacher asked me "What are the best 2 angles to use when wanting to get maximum horizontal distance while on an elevated surface of 50m." As in Dx. What would these 2 angles have to be for the projectile to go the furthest distance horizontally and what would the...

Graph Theory -- Max. Independent set algorithm Homework Statement Design a polynomial time greedy algorithm to compute a maximum independent set for a graph. Explain the algorithm and compute T_w(n). Homework Equations The Attempt at a Solution My terse and informal...

Homework Statement An object is shot vertically upward and has a speed of 12 m/s when it reaches one fifth of its maximum height. a. What is the initial speed of the object? b. What is the maximum height of the object? Homework Equations Free falling objects The Attempt at a Solution...

Hi! I've been struggling with this for hours now, but my head doesn't seem to work properly... Homework Statement Aniline, C6H5NH2, is a weak base and reacts with water, forming the phenyl ammonium ion C6H5NH3+ and OH-. Kb at 25oC is 3.2 \cdot 10^{-10} a) What is the equilibrium...

$ a_n=100+n^2.\,\, n=1,2,3,----$ $d_n=(a_n,a_{n+1})$ find :max($d_n)$

Homework Statement A block with mass M is on an inclined plane having an angle of \theta with respect to the horizontal. The coefficient of friction is \mu. Find the maximum mass that the block can have before sliding down. Homework Equations \mu_{s}= tan(\theta) - I derived this and tried to...

Homework Statement y = (4/3)cos(x/2 + pi/6) - (2/3) (0 <= x < 2pi) Find the maximum and minimum values for the trigonometry function without calculus or drawing the graph. Basically in the solution they apply the transformations to the domain given in order to find a new domain...

Homework Statement Hi all this is just a quickie, but in one of my texts a question asks to find the maximum constant deceleration given an initial speed, time to stop and the distance it took. Now I am not sure whether to use v = u + at or s = 1/2at^2 + ut im thinking more v = u + at...

Problem An ideal spring with spring constant 'k' is hung from the ceiling and a block of mass 'M' is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is? Please tell how to do it and the final answer.

Good afternoon all My question is, when we observe stationary waves, and we know that at a certain point, the sound is maximum, is this the displacement node or the displacement antinode? I have read a few different sources and currently i have encountered both. To me it makes more sense...

Homework Statement A beam carries a uniformly distributed load, including its own weight, of 8 kN/m over its full length of 6 m. A point load of 300 kN is placed 2 metres from the one end of the beam which is simply supported. Calculate the maximum moment of resistance for the beam if it...

Thanks again to those who participated in last week's POTW! Here's this week's problem! ----- Problem: A right circular cylinder is inscribed in a cone with height $h$ and base radius $r$. Find the largest possible volume of such a cylinder. -----

Homework Statement The function max will return which number is the largest between the two parameters x and y. The function min will return the smallest number between the two. If the numbers are the same they will give out that same value. Prove that max(x,y) = \frac{x+y+|y-x|}{2}...

Homework Statement A spring is launched from the ground at 2.3 m/s t an angle of 78° to the ground. What is the max height of the spring? How far did the spring travel? Homework Equations ##\vec{v}_R = 34 m/s## ##\theta = 78°## The Attempt at a Solution First things first, get my...

For some reason I find it hard to comprehend that at the natural base level of existence (whatever that means), that the information-scape (all the stuff that is happening throughout space) is totally fragmented from each other, except of course for the "slow" transmission of information to...