Max Definition and 1000 Threads

I'm trying to calculate the max load of a rack made of 3X3X1/4 steel tube. It is 8ft long and 4ft wide. I just want to calculate the max load (distributed load) in bending (prob for just the 8ft sides) and also in compression for the legs. i can't find the right formulas. can anyone help? so...

Hey guys, I'm kinda simulate vehicle dynamics. I got gear ratios, torque and RPM values. I find how to calculate instant accerelation from http://spreadsheets.google.com/ccc?key=pBCH2ClzmrplHUNFgrkT7HA Ok now I got acc. :wink: I can calculate velocity from acc but my problem is how to...

Homework Statement For this sample exam, we are given an RLC circuit, with an alternative emf of 1 V, connected all in series with a 500 ohm resistor, a .4 mH inductor, and two capacitors in parallel of 50 pF each. It asks for the "maximum power dissipated by the resistance" and at what...

Given equation f(x) = 3x^2 / x - 3 on [2,8] I found the critical points were [3, 5/2, 0] f ' (x) = 3x^2 (x/-5) / (x-3)^2 I want to know why there is no absolute min / max in this case? I think the reason is because this [a,b] is out of the bound of the critical point, thus we cannot compare...

Homework Statement A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30 degrees above the horiz. The car accelerates uniformly to a speed of 2.2 m/s in...

I know for a uniform load the M max is wL^2/8 What is the M max for a triangular load similar to this... this http://www.geom.uiuc.edu/education/calc-init/static-beam/img/tri_left.gif I for a uniform the load is in the center, but a triangular load it wouls be like 1/3 or 2/3 from the middle...

Homework Statement A spider is caught in the midpoint of a spider thread. The thread breaks under a stress of 8.2E8 N/m^2 and a strain of 2.00. Initially, it was horizontal and had a length of 2.00 cm and a cross-sectional area of 8.E-12 m^2. As the thread was stretched under the weight of...

Homework Statement A massless hooksw law spring has a unstretched length of L, when a mass m is ploaced on it, and slowly lowered until the mass is at rest, the spring is queezed to a length of x. the mass is then dropped on the spring from a height of h, use energ methods what is the...

Homework Statement I have to determine the max load a scissor jack must support when lifting a 6000lb car. I know where the center of gravity is acting and the potential locations (distances from the center of gravity) the car will be jacked up. I know the max force is less than 6000 lb...

Homework Statement Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/(x^2 + 25) [0, 8] Homework Equations taking derivatives are necessary The Attempt at a Solution f(x)= \frac{x}{x^2+25} f'(x)= \frac{(x^2+25)-x(2x)}{(x^2+25)^2}...

Homework Statement A thin rod of length 1.4m and mass .2kg is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 7.84 rad/s. Neglecting friction and air resistance, find how far above that...

Can one focus sunlight so much that the temperature attained at the focus is higher than the temperature on the surface of the sun? Consider this question in the framework of geometrical optics (no diffraction, no solar panels or electricity). This seemingly innocent problem is actually quite...

Homework Statement A 60.9kg person wishes to run on ice. The coefficient of static friction between his shoes and the ice is 0.123. What is his maximum possible acceleration? Homework Equations Newton's laws of motion The Attempt at a Solution I figured that Fnet = Ffr, with me...

A University of Rochester student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 79.2 s...

Homework Statement A car drives through a turn with a bank angled at 25º according to horizontal floor. How much does the highest speed of the car have to be to prevent the car from slipping on the slope upwards? How much does the smallest speed of the car have to be to prevent the car from...

Homework Statement An arrow is shot at 30.0° above the horizontal. Its initial speed is 50 m/s and it hits the target. (a) What is the maximum height the arrow will attain? (b) The target is at the height from which the arrow was shot. How far away is it? Homework Equations SOH...

Homework Statement Consider 2 charges with value q=3[\muC], situated on the xOy plane at (0;2) and (0;-2) [cm]. Obtain the coordinates on the x-axis (y=0) where the modulo of the electrostatic field is maximum. Homework Equations The Attempt at a Solution I am trying to do this but...

Homework Statement A bungee jumper of mass m kg jumps from 20 meters. The bungie cord's spring constant is k N/m. Let y = 0 be the point where the bungee cord begins to become taught, and let y = 20 be the jump point. It is known that the point of maximum acceleration is y = -17...

Homework Statement Find min/max/saddle point of the function : F(x,y) = y^2 - 2*y*cos(x) ; 1 <= x <= 7 F_x = 2y*sin(x) F_xx = 2y*cos(x) F_xy = 2cos(x) F_y = 2y - 2cos(x) F_yy = 2 Finding its critical points : F_x = 2y*sin(x) = 0 F_y = 2y - 2cos(x) = 0...

Finding max and min of a function Homework Statement Find min , max , and saddle points of the function : f(x,y) = e^x*cos(y) f_x = e^x*cos(y) f_xx = e^x*cos(y) f_xy = -e^x * sin(y) f_y = -e^x * sin(y) f_y = -e^x * cos(y) First finding the critical points : f_x =...

Homework Statement Find max/min/saddle point of the function : F(x,y) = (1+xy)(x+y) = x^2*y + y^2*x + x + y F_x = 2xy + y^2 + 1 F_xx = 2y F_y = x^2 + 2yx + 1 F_yy = 2x Need help on finding the critical points : So I have to solve this equations : F_y = x^2 + 2yx +...

Homework Statement I found the local maximum for the equation g(x,y)=3xe^y - x^3 - e^(3y), which is (1, 0)...now I am supposed to show that this is not the absolute maximum for g(x,y). I don't know how to find an absolute maximum without an interval! Could anyonw shed some light on this...

Homework Statement The dimensions of a closed rectangular box are measured as 80cm, 60cm, and 50cm,respectively, with a possible error of 0.2cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box The Attempt at a Solution I...

Homework Statement A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the cylinder is 82.5 m. The moment of inertia of the station without people is 3.00 x 10^9 kg m^2. Suppose 500 people, with an average mass of 70.0 kg...

What is the maximum number of electrons in an atom whose highest-energy electrons have the principal quantum number ? I tried 54 and 110. Neither was correct.

Hi, Given that the radius of a circle is X, and the side length of a square is Y, what is the maximum number of squares you can fill inside this circle, provided that the squares do not overlap? If you know of a general formula or something, can you please tell me the proof or give me a link...

Can anyone help me with the following question? Find the path of the steepest descent along the surface z=x^3 + 3y^2 from the point (1, -2, 13) to (0,0,0) Note: the general solution of the differential equation f ' (t)-kf(t) =0 is f(t) = ce^kt, where c is an arbitary number...

Ok.. first of all excuse my English (not my native). I had a conversation with a friend and we were thinking.. We have a spacecraft or something like that. Let's tell that it has a lot of fuel and we are moving with a = x m/s^2, where a is acceleration and x a value (we don't care how big or...

For the Electronic Bathroom Scale. The maximum load on a beam is assumed to be 75kg. (a) Find the max. deflection by using the Young’s Modulus E=200,000 N/mm². Is it small? Also see next page for the dimensions of the beam. Hint: For small deflection, tan phyter » phyter. Use the...

Homework Statement A block of mass 1.2kg, resting on a horizontal surface of coefficient of kinetic friction of .15, is attached to a linear spring of force constant 12.0 N/m. When the spring is unstretched the mass is at a position x=0. THe mass is pulled to the right streching the spring a...

A chain is attached to the top of a vertical pole of height H located at x=0. The other end of the chain is attached to another pole of height H at x=a. Find the maximum tension T of the chain as a function of the length of the chain L. Assume that the weight density of the chain is $ (lambda)

A 500m high volcano eject rocks at a speed 30 m/s.What is max horizontal distance reached by the rock?

Homework Statement A golf ball with an initial angle of 33◦ lands ex- actly 184 m down the range on a level course. The acceleration of gravity is 9.81 m/s2 . a) Neglecting air friction, what initial speed would achieve this result? Answer in units of m/s. 009 (part 2 of 2) 10.0 points...

A sheet of material 1000 cm^2 is given to you to construct a box/cube with no lid. What is the maximum volume of the cube that can be created in cm^3?

Homework Statement Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads “maximum capacity 1120kg or 16 persons”. Suppose that the weights of lift-users are normally distributed with a mean of 68kg and a standard deviation of 8kg. (a) What is the...

Homework Statement A 40kg crate is lifted by a poorly working hoist system that risks dropping the object, which breaks at forces exceeding 1000N. Find the maximum height to which the crate can be hoisted before it risks breaking if dropped. Homework Equations F=ma=mg U=mgh=(mv^2)/2...

Homework Statement The pistons of a 4 cylinder car engine when idling move approx. in SHM with an Amplitude of 50mm and at a frequency of 110Hz.Calculate *the max speed of the pistons. *max acceleration of the pistons. Homework Equations max velocity = A(omega),max acceleration...

Homework Statement A 200kg weather rocket is loaded with 100kg of fuel and fired straight up. It accelerates upward at 35m/s^2 for 32 s, then runs out of fuel. Ignore any air resistance effects. What is the rocket's maximum altitude? How long is the rocket in the air? Homework...

Homework Statement (a) If the maximum acceleration that is tolerable for passengers in a subway train is 1.54 m/s2 and subway stations are located 816 m apart, what is the maximum speed a subway train can attain between stations? (b) What is the travel time between stations? (c) If a subway...

I have a stainless steel shaft that is Ø140mm x 936mm long. I need to calculate what the maximum torque is that I can apply to this shaft. I have looked around for formulas and have just got myself confused. Could someone tell me what the formula is that i need to work this out.

I'm working on a visualizer of sorts for a system: x_{n+1} = sin(a y_n) - cos(b x_n) y_{n+1} = sin(c x_n) - cos(d y_n) with a,b,c,d \in [-2.5, 2.5] So for whatever initial (x_0,y_0) I give the system, I know the next iteration will have both x and y between -2 and 2, and that will be...

Hello, this is my first post, i hope somebody can help me. I have searched for the answer myself all over on the web and here, but I am stuck. Im trying to work out the maximum pressure (psi) that i can get into an aluminium cylinder that's 80mm wide and 250mm tall and 4mm thick ive found...

Hello! This is not homework :-) I can figure this out: y = 100 = max height 0,0 200,0 ------------------------------------------------------------ By getting the initial y velocity = sqrt(2 * gravity * max...

Hello, I'm looking for a formula to determine the max load on a piece of Laminated Veneer Lumber (LVL) supported at each end. Although I've calculated the load on each component of bridges a thousand times way back in my Statics class, nobody ever showed us how to find the max allowable load...

Homework Statement What is the maximum acceleration a car can undergo if the coefficient of static friction between the tires and the ground is 0.30? Homework Equations sigmaFy = Fn-mg = may = 0 sigmaFx = Fp - Ffr = max = 0 Ffr = (mew)s * Fn Fp = Ffr = (mew)*Fn Fp = (mew)s(mg)...

the near point and far point of an eye are 35cm and 300cm respectively.what is power of lens so that the person can see objects at 25cm .with this lens what is the maximum distance he can see. f=xd/x-d p=1/f in m i could only solve the first part of the problem.p=1.14d...

"the theoretical max power transfer occurs when the impedance of the load is the complex conjugate of the impedance of the source". Can someone help me giving me a more detail explanation of this. Especialy the worlds "complex conjugate".

Can anyone please tell me the function of the IC Max232 in a microcontroller board. Is it only necessary for serial programming. If I'm programming my board via parallel port, then do I require this IC? Why? What is TXD and RXD and what are their functions. Also why so many capacitors?

Homework Statement A ball is thrown with initial speed V up an inclined plane. The plane is inclined at an angle \phi above the horizontal, and the ball's velocity is at an angle \theta above the plane. Show that the ball lands a distance R = \frac{ 2V^2 \sin{\theta} \cos{ ( \theta +...

Homework Statement A block of mass M_1 rests on a block of mass M_2 which lies on a frictionless table. The coefficient of friction between the blocks is \mu . What is the maximum horizontal force which can be applied to the lower ( M_2 ) block for the blocks to accelerate without...