Max Definition and 1000 Threads

Hello: I have an inclined triangular wedge of angle Ø (meaning, this wedge makes angle Ø with the horizontal) and a block is lying on the wedge. the coefficient of friction between the wedge and block is u. (a) determine the max value of Ø for the block to remain motionless on the wedge...

What is the thermodynamical reason that a car's maximum fuel efficiency is for speeds 55-60 mph? (See http://www.mpgforspeed.com/ )

A 0.90 kg mass on a spring oscillates horizontally with little friction according to the following equation: x = 0.090cos(2.90t), where x is in meters and t in seconds. Find the maximum energy stored in the spring during an oscillation. X=a*cos (omega*t) omega =2pi*frequency = sqrot k/m...

Homework Statement Find the max height of a projectile fired at an angle of 30 degrees if it's inital speed is 0.714m/s. (this is a lab so I have other data that might be needed) Homework Equations V22=V12+2ad The Attempt at a Solution V22=V12+2ad 0=(0.714sin30o)2+2(-9.81)(d) d=19.62-0.127449...

Homework Statement The maximum of 2 numbers x and y is denoted by max(x,y) and the minimum of 2 numbers x and y is denoted by min(x,y). Prove that max(x,y) = (x + y + l y - x l) / 2 and min(x,y) = (x + y - ly - xl ) / 2. Homework Equations The Attempt at a Solution Theorem...

quick question, is the difference between a carnot engine to an engine is that the engines eff is less than or equal 1-(cold temp / hot temp), and the carnot is the max of this which is just equal 1-(cold temp / hot temp)?

Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor if the ball bounces straight up and returns to the floor 2.8 s after first striking it, what was the ball's greatest height above the floor? I keep getting the wrong answer I am plugging in...

Homework Statement What is the maximum displacement of a particle at x=0.5 cm The equation for the resulting standing wave: y(x,t)= 4sin(1.26x)cos(50.27t) cm.Homework Equations The Attempt at a Solution Like the answer tells me that 4sin(1.26*0.5)=ymax but I'm not sure why we would disregard...

whats the max force?? Homework Statement A 275.0 g ball is dropped from a height of 2.60 m, bounces on a hard floor, and rebounds to a height of 1.71 m. The impulse received from the floor is shown below. What maximum force does the floor exert on the ball if it is exerted for 8.00 ms...

If you throw a ball straight up, say, and it reaches a height of 30 meters before falling straight down and back to your hand, how fast did you throw it up? I understand we can know this from the deceleration that gravity causes. Could you explain how to calculate these sort of things in...

Homework Statement Ok. So, i have been giving the assignment of designing and testing an engine room crane for use on ship. I have designed a crane which has 2 i-beams which a trolley travels along. My questions are:- -How do i find the second moment of area of the I-beams? The equation i...

Hi all, 1. the max. speed of waves in the air is the speed of sound. it's caused by the physical limitation - changes in the air fabric (particles) can't propagate faster in it. 2. so I was wondering, whether the max. speed in our space isn't limited by the max. (indivisible/atomic) change...

Homework Statement I had a discussion with some of my friends about this matter, but my physics basics related to fluid flow dynamics aren't well enough to draw a conclusion, so here it is: On the left side of the diagram is a space with infinite amount of air (breathable Earth air) at...

I know this is a simple question but I can't quite figure out how to do this in a combined circuit: Find the maximum voltage across a resistor R and inductor L with an AC power source of V0sin(wt). (Note: the resistor is in series with the inductor) I'm trying to figure out the total max...

Homework Statement 2 bodies move towars each other M1 WITH Velocity V1 and M2 with velocity V2 ,on a frictionless surface with a spring between them(attached to M1),what will be the maximum contraction(I mean You know, shrink or W\E)? Homework Equations reduced mass...

I am working on my lab report for the simple pendulum and we did an experiment where we increased the max theta in increments of 5 degrees, while keeping the length of the sting the same. We started from 5 degrees and went to 45 degrees. For some reason the periods seem to increase slighty as...

Homework Statement Two point sources of light are separated by 4.91 cm. As viewed through a 12.1 μm diameter pinhole, what is the maximum distance from which they can be resolved if red light (λ = 690 nm) is used? Homework Equations sinθ = 1.22*(λ/D) y= L*tan θ The Attempt at a...

Homework Statement this is from ch9 (functions of several variables)of baby rudin a,b real b>a>0 define a mapping f=(f1,f2),f3) of R2 into R3 by f1(s,t)=(b+acos(s))cos(t) f2(s,t)=(b+acos(s))sin(t) f2(s,t)=asin(s) I showed that there are exactly 4 points p in K=image(f) such that...

Homework Statement By Wien's we can determine that the max wavelength radiated by the sun is around 500 nm. How does this compare to the apparent color of the sun? Attempt to explain this discrepancy. Homework Equations lambda_max*T=2.9x10^-3 The Attempt at a Solution I said...

Homework Statement Let X and Y be two independent random variables with distribution functions F and G, respectively. Find the distribution functions of max(X,Y) and min(X,Y). Homework Equations The Attempt at a Solution Can someone give me a jumping off point for this problem...

What is the maximum working pressure of 3" diameter schedule 80S piping at an operating temperature of 100 deg celcius. According to my piping tables it is 262 Barg, ,but i want to know if this pressure can be exceeded and still comply with ASME B31.3 Also what is the safety factor in the design.

Homework Statement Find the absolute maximum and absolute minimum of f(x,y)=12xy-x^2 y-2xy^2 on the region bounded by x=1, y=1, and y=4/x Homework Equations The Attempt at a Solution For x=1 f(1,y)= 12y-y-2y^2 = 11y-2y^2 f'(1,y)= -4y+11=0 = -4y=-11 =...

Homework Statement Find the maximum values of f(x,y,z)=xy+xz+yz-4xyz subject to the constraints x+y+z=1 and x,y,z>or equal 0. Homework Equations The Attempt at a Solution see attachment I found fgrad and ggrad and set fgrad equal to lambda*ggrad and used x+y+z=1 for my system of...

Homework Statement see problem 4 and 5 attachment Homework Equations The Attempt at a Solution see problem 4 attachement I found the gradient vectors of each and set fgrad=lamdbda*ggrad and used the constrainment equation to solve for all three variables. What is confusing me is...

GHz ac frequency- Maximum "Practical" generation - Solenoid question for the experts. It's me again. Big ideas, big questions. (A quick special thanks to everyone who has ever taken a moment to answer my questions: (Bob S, bipolar, Phrak, f95toli, jambaugh, waht, Pumblechook, ZapperZ...

A Porsche 944 Turbo has a rated engine power of 217 hp. 30% of the power is lost in the drive train, and 70% reaches the wheels. The total mass of the car and driver is 1530 kg, and two-thirds of the weight is over the drive wheels. okay... sooo... I know that P = F(car)*velocity =...

Homework Statement Homework Equations MaVa+MbVb=MaV'a+MbV'b PE=mgh KE=.5mv^2 mgh=.5mv^2=KE of small ball just before collision The Attempt at a Solution I first determined the starting height of the pendulum using the pythagorean theorem through sin15=y/.95 y=.2459 m...

Homework Statement A car is driving up a slope at angle 16 deg. to the horizontal, trying to accelerate as much as possible. The static and kinetic friction coefficients are .90 and .80, respectively. Find the maximum possible acceleration (assuming a sufficiently powerful engine).Homework...

I'm trying to make a small Vacuum chamber for some hobby experiments to simulate high altitudes.. I really don't know that much about Vacuum physics so was hoping someone could comment. My idea is to get a vacuum pump and pump out a 55 gallon steel or plastic drum to 1/3 bar. My...

Homework Statement Prism 1 with bar 2 of mass m placed on it gets a horizontal acceleration \omega directed to the left. At what maximum value of this acceleration \omega will the bar be still stationary relative to the prism, if the coefficient of friction between them k < cot\alpha...

Homework Statement A particle (nonrelativistic) of mass M and with kinetic energy E0 collides with an electron at rest of mass m. Show from elementary considerations (i.e. rst year physics) that the maximum energy of the electron after the collision is E0(4m/M). Determine this energy for...

Homework Statement Water in rock crevices often causes erosion when it freezes, given it expands and exerts pressure on the rock. What is the maximum pressure that water can exert when it freezes? T = 263.15 K dice @ 263.15 K = 0.9 g cm3 dwater @ 263.15 K = 1.0 g cm3 Homework Equations...

Hi everyone! I need to design a beam for a monorail system, like in the pictures above. http://img90.imageshack.us/img90/2629/monorailperfil.png http://img111.imageshack.us/img111/2987/perfiltransversal.png But the question, is how to know the maximum force that a beam flange can...

I have three questions left to do and its been very hard because I am out of state with the family and had forgotten to pack my physics book. I really need help on this, I can't find any examples from typing in parts of the question. If you could help me on how to solve this and the equations...

This is a question from "Fundamentals of Physics 8th Edition Extended, Chapter 4, Checkpoint3." "At a certain instant, a fly ball has velocity v->=25i-4.9j (the x-axis is horizontal, the y-axis is upward, and the v-> is in metres per second). Has the ball passed its highest point? The...

Find max value and min value of f(x,y)= x^2-2x+y^2 for f(x,y) in the region bounded by the triangle with vertices (1,0) (1,1) (0,1) Im not sure if i did this right, i used second derivative test to find a min at -1, and by plugging in (0,1) i found the max to be 1. But i can only get max...

Homework Statement (a) Let f,g: [a,b] \rightarrow \Re. Define: f \vee g(x) = max(f(x),g(x)), x\in [a,b] f \wedge g(x) = min(f(x),g(x)), x\in [a,b] (b) Let f_{+} = f\vee0, f_{-} = -(f\wedge0) Show that: f = f_{+} - f_{-} abs value of f = f_{+} + f_{-}...

f(x) = x^4 + ax^2 +b. the graph of x has a relative max at 0,1 and an inflection point at x=1. the values of a and b are...? ok I am really stuck. thanks in advance!

When Vo=68 ; k=.027 ; theta = 39 degrees (a) The American Football kicker lines up to attempt a field goal . Take the balls initial position to be the origin. For the field goal to be good it must pass between the upstairs, and over the crossbar which are 10 feet above ground level...

This is a engineering question and we are not aloud to use calculus. We are told we have a boat on the bank of a river with a current to the right at 30 mph and the max speed of the boat is 25 mph. The question is, traveling at what angle gives the best chance to make it across? The teacher...

To give you some background, I am trying to perform an AHP calculation using Java code. I have a 15x15 matrix and I need to find its eigenvector. I want the eigenvector that corresponds to the greatest eigenvalue. Let's say I already have some method that gives me all the eigenvectors and all...

Homework Statement A 800 kg boulder is raised from a quarry 150 m deep by a long uniform chain having a mass of 580 kg. This chain is of uniform strength, but at any point it can support a maximum tension no greater than 2.90 times its weight without breaking. What is the maximum acceleration...

Hi I need help solving this problem. Thank you. 1. Homework Statement [/b] Given: assume g = 9.81 m/s2, and friction can be ignored. A ball is thrown into the air at speed 43 m/s, at an angle of 53.7 o to the ground. The ball lands at the same elevation as it was thrown. a) Find...

Doing an Analytical Mechanics course and we're just reviewing some classical physics and this question came up. Cheers for any help. Homework Statement A gun can fire shells in any direction with the same speed v. Ignoring air resistance and using cylindrical polar coordinates with the...

For a force F = −mg ± cv^2 (the sign is chosen so the drag force is opposite the motion), you can use a trick: let u = v^2, and generate a differential equation for u(x) (not u(t)!), which is not too hard to solve. (Hint: the chain rule gives this dv/dt=dv/dx * dx/dt should help.) a) Solve...

Homework Statement A 16g bullet is fired into the bob of a ballistic pendulum of mass 1.5kg When the bob is at its maximum height, the strings make an angle of 60 degree with the vertical. The length of the pendulum is 2.3 m. Find the speed of the bullet. Homework Equations pi=pf...

Homework Statement Hint:Disregard any dissipative effects of the atmosphere of the planet. A projectile is launched from the surface of a planet (mass M, radius R) with a launch speed equal to 60 percent of the escape speed for that planet. The projectile will rise to a maximum height and...

Homework Statement Light passes through a 220 lines/mm grating and is observed on a 1.4m wide screen located 1.2m behind the grating. Three bright fringes are seen on both sides of the central maximum. What are the minimum and maximum possible values of the wavelength? Express your answers in...

If X is continuous r.v. and has pdf only in the positive real axis with E[X]=\alpha, E[X^2]=\beta, what is max diff. entropy of X? Thanks

Homework Statement A projectile is fired with an initial speed of 100 ft/s and angle of elevation Pi/6 (30 degrees). Find: A) the range of the projectile (along the x-axis) B) the maximum height reached C) the speed at impact Homework Equations Vf^2 = Vi^2 +2a*s Vf = Vi + a*t...