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Homework Statement Two blocks of masses m, and m2 are connected by a spring of spring constant k. Suppose each of the blocks is pulled by a constant force F Find the maximum elongation spring will suffer and the distances moved by the two Homework EquationsThe Attempt at a Solution the two...

Homework Statement An Inductor L and a Resistance R are connected in series with a battery of emf E. Find the maximum rate at which the energy is stored in the magnetic field. Homework Equations Energy stored in an inductor : U= 1/2Li2 For a simple LR circuit with a DC voltage source the...

Homework Statement In an AC circuit of periodic current we know: ##E=6[V]##, ##R_g=50[Ω]##, ##L_g=\sqrt3 [nH]## and ##ω=50*10^9[s^{-1}]##. Calculate: a) All available power of the ##E## b) The resistance of ##R## so that the average power is max c) That average power from part b) Homework...

Homework Statement A particle of mass ##M## and speed ##v_1## bumps a particle of mass ##m##, ##(M >m)##, at rest. Find the maximum angle of deflection of ##M## after the bump.The Attempt at a Solution I would like to solve this problem in the reference frame of the center of mass, because it...

Homework Statement I want to find the maximum displacement of block A in the left direction Homework EquationsThe Attempt at a Solution I first found the velocities of both blocks after the bullet escapes with 100m/s by using the impulse-momentum theorem. I then applied the work-energy...

Homework Statement A 1.2 kg block is dropped from a height of 0.5 m above an uncompressed spring. The spring has a spring constant k = 160 N/m and negligible mass. The block strikes the top end of the spring and sticks to it Find the compression of the spring when the speed of the block...

Hello, My name is Hugh Carstensen. I am a CSE undergrad at the Ohio State University. I recently secured a position designing and assembling an automated camera-rig for digitization of archival works in the Knowlton School of Architecture. The rig will be powered by a number of small stepper...

Hello all, Just wondering if there is a mathematical formula that calculates the maximum rpm. If I have a fan that puts out 3 pounds of rotational force at stall speed(completely still) at the end point of a 1.5 ft blade what would be the maximum rpm of this fan with the blade attached. What...

Homework Statement A trooper is moving due south along the freeway at a velocity speed of 21 m/s. At time t= 0, a red car passes the trooper. The red car moves with constant velocity 28 m/s. At the instant the troopers car is passed, the trooper begins to speed up at a constant rate of 2 m/s^2...

Homework Statement If ##A,B,C,D## are positive numbers such that ##A+2B+3C+4D = 8##, then what is the maximum value of ##ABCD##? Homework EquationsThe Attempt at a Solution From AM-GM, I know that the maximum is ##2/3##. However, I want to know exactly what A,B,C, and D must be to take on this...

Homework Statement I have attached the problem. I will write it out: A waitress attempts to push a glass of water of heigh 15.o cm and diameter of 7.00 cm on a dining table, as shown in the figure. If the coefficient of static friction between the glass and the table's surface is 0.350, what...

What determines the maximum amount of weight an electric motor can lift / move for its size? So assuming the electric motor weighs a specific amount, what would be the limiting factor to how much weight it can move / lift for the weight it weighs?

So, I was helping someone with some science fiction stuff and got to poking into flight mechanics. So we've got a balance of lift and weight, and drag and thrust. The speed at which thrust and drag cancel determines the speed of flight. The speed of flight determines lift, and lift must cancel...

Hello Folks I'd like to know if anyone of you guys know how to calculate the gforces in a glider (in this case helicopter) during maximum performance acceleration? Tonight I had a very serious discousion with a relative of mine who doubt that it's possible to accelerate from 0 to 140 kts within...

Lets say that we have a rocket positioned at a certain angle with respect to the horizontal. The rocket is fired, with a constant propulsion force of . Assume that the rocket has a constant mass of kg (the gas used to propel the rocket is negligibly small). What is the optimal angle with...

Homework Statement A projectile was launched at 70 m/s at an angle of 45 degrees above the horizontal, how long does it take the projectile to reach maximum height? Homework Equations Vyo= initial vertical velocity Vo=initial velocity The Attempt at a Solution I tried using the...

Homework Statement Homework EquationsThe Attempt at a Solution At distance s, the speed of the car is v. $$ v^2 = 2wτs$$ $$\frac { mv^2} R ≤ kmg$$ Let's denote the maximum distance covered without sliding is smax. $$\frac { m2wτsmax} R = kmg$$ $$ smax = \frac {kgR} {2wτ}$$ Is this correct...

I have some data collected from experiment and I want to calculate the max and min values for this data. Please note that these data not a result of function. What is the best mathematical way to get the max and min without just picking them by directly observation.

An object approaching Earth (or any planet) experiences increasing gravity as it gets nearer. However, If the object could continue until reaching the center it would find itself again in a net zero gravity field. At what point will it experience the maximum amount of gravity?

Homework Statement *Forgot to mention that this is a SHM question in the title Which of the following statements about an object that which perform an Simple harmonic motion is true? A) the acceleration is maximum when the velocity is maximum B) the acceleration is maximum when the displacement...

the function is continuous, prove f have max in

I know that if a triangle have it edge // to each orther then it í the maximum triangle. Pls explain i don't understand hơ thí even possible

So I am trying to solve a problem, I’ve done a simple solution but I want a more comprehensive answer and don’t know how to do the math. The problem involves climbing anchors and the difference between max loads of an equalized vs non equalized anchor. The two different situations, I’ll try to...

This animation demonstrates a longitudinal wave by means of moving bars. I realized that if we increase the amplitude of the wave, the bars will eventually start passing through each other, which sounds (no pun intended) like an unphysical scenario. Does this mean that there is a cap, a...

Homework Statement A Diffraction Barrier has 4200 openings per 1cm. A screen stands 2.00 m opposite of the Barrier. Say that for a certain class m, the maximums that correspond with two different wavelengths (589.00 nm & 589.6 nm) abstain from each other by 1.54 mm. What is the value of m...

Homework Statement galvanometer with 50 divisions on the scale requires a current sensitivity of 0.1 m A/division. The resistance of the galvanometer is 40Ω. If a shunt resistance 0.1 Ω is connected across it, find the maximum value of the current that can be measured using this ammeter...

Homework Statement A constant torque is applied to a pinion which has a moment of inertia of I_m. The pinion(A) drives two gears, one (B) which is connected to a mass which has a moment of inertia = I_m and the other(C) is connected to a mass which has a moment of inertia = 2I_m. The gear...

Homework Statement Given that a1+a2+a3+... +a7=1 and that all aj is smaller than 1 and greater than 0 and variable , find the maximum value of 6a1+5a2+4a3+...+ a6 Homework Equations no further constraints The Attempt at a Solution I have no idea how to solve this problem specifically, but I...

I am a bit confused by a customer and their request to know what the maximum torque he can apply to a gearbox when the motor input speed is 258rpm. The motor is a 2HP brakemotor, 1750rpm at 60Hz, 460VAC 3phase, 1.65 amps motor tested. The gearbox has a 200:1 ratio rated for 0.093HP with an...

Homework Statement Theorem 3 that i will give in the attempt at a solution talks about a closed interval, here it's open Homework Equations Continuity: $$\vert x-c \vert < \delta~\Rightarrow~\vert f(x)-f(c) \vert < \epsilon$$ $$\delta=\delta(c,\epsilon)$$ The Attempt at a Solution

I attach an image of something I am experimenting with. The picture itself (and added text) should be self-explanatory. 1) Which way should my windings (clockwise or counter-clockwise) go around P1; P2; P3 & P4 for maximum voltage (V) ? [ 1 Ø ] [ 1 x single enamelled copper conductor ] [...

I have a relatively simple design problem but my memories of thermodynamics are very rusty and I can't figure it out on my own. To make it short, I want to put a mix of solid, water and air in a 500mL pressure vessel and heat it all up to 250'C for several weeks. T and P are at room conditions...

Hi, I'm trying to ascertain when you're driving an asynchronous motor with VVVF or whatever else a VSD uses, when do you draw the most current? For instance, say you're talking about a train/tram: I would have thought intuitively that since power = torque / angular speed, that starting up, to...

Hi. This is the problem 5.1-1 from the second edition of Callen's Thermodynamics. It says Formulate a proof that the energy minimum principle implies the entropy maximum principle. That is, show that if the entropy were not maximum at constant energy then the enrgy could not be minimum at...

Hi, I would like to know if there is any maximum limit for number of particle histories can be used in mcnpx input file. Thank you. Regards,

Given that in a Carnot Cycle the two adiabatic processes are essentially equal and opposite in magnitude the total work done by the cycle is in the two isotherms. The total work of the system is generally given as -NR(Th-Tc)ln(Vb/Va). Does this mean that the work done by a monatomic ideal gas is...

Homework Statement coefficient of kinetic friction between the disk and the surface is 0.42 gravity = 10.6 m/s disk mass = 1.75x10^9 the skid marks are 1280m long, This is due to the fact that uneven friction had set the saucer in very slow rotation around its principal axis. By...

Homework Statement Inscribe in a given cone, the height h of which is equal to the radius r of the base, a cylinder (c) whose total area is a maximum. Radius of cylinder is rc and height of cylinder is hc. Homework Equations A = 2πrchc + 2πrc2 The Attempt at a Solution r = h ∴ hc = r - rc A =...

Homework Statement Homework EquationsThe Attempt at a Solution I don't know how to calculate part C) of the question. I'm unsure what saturation of a transistor refers too.

Hello,I am reading the link http://math.mit.edu/~jspeck/18.152_Fall2011/Lecture%20notes/18152%20lecture%20notes%20-%204.pdfSays : w_t-D w_{xx}=f with f<0w at \bar{Q}_T has its maximum in \partial_p {Q}_T. If w is strictly negative at \partial_p {Q}_T then also is strictly negative in...

Homework Statement A 2200 µF capacitor is charged to a potential difference of 12 V and then discharged through an electric motor. The motor lifts a 50 g mass through a height of 24 cm. The capacitor is charged to 12 V again and then discharged through a 16 Ω resistor Determine the time...

I have this set of data (in the attached image) and I'm trying to normalize the counts at each angle to a maximum of 100. I'm not sure how to do it though. Any tips would be much appreciated. I have the mean and std dev for each count at each angle. I don't really know what to do from here...

Homework Statement Given: x=9sin2t +16cos2t+100 The problem asks me for the maximum acceleration and the maximum velocity. Homework Equations dx/dt=v dv/dt=a The Attempt at a Solution The problem asks me for the maximum acceleration and the maximum velocity. To find the maximum velocity, i...

The Friedmann equation for a spatially flat Universe is given by $$\Big(\frac{\dot R}{R}\Big)^2=\frac{8 \pi G}{3}\rho$$ where ##R(t)## is the proper radius of some spherical volume with us at its center. Let us assume that there is a mass ##M## inside this spherical volume of radius ##R##. The...

I'm trying to replicate a machine learning experiment in a paper.The experiment used several signal generators and "trains" a system to recognize the output from each one. They way this is do is by sampling the output of each generator, and then building histograms from each trial. Later you...

Homework Statement Homework Equations ∑Mb = m*a*d The Attempt at a Solution Using the formula below i get: m*g*cos(0)*(0.07/2)-m*g*sin(0)*(195/2)=m*a*h And I get 3.52 m/s^2 Is it correct?

Hello, I was wondering if there is any way of increasing a transistor or thyristor maximum voltage ratting in DC? Thanks. Edit: Just to be more precise, I am referring to the off state. I know you can the on state via a resistor.

The second law of thermodynamics predicts the end of the life of the universe being one where thermal equilibrium exists throughout the universe (maximum entropy) - essentially all energy has been dissipated. My question is if according to the first law of thermodynamics which describes the...

The standard proof to show carnot efficiency cannot be exceeded is to couple a supposedly more efficient engine to a carnot refrigerator, and show that it would violate second law. However, isn't it true that we can make the same argument with any arbitrary efficiency? Some discussions on...

There's a youtube channel where someone nicknamed Thunderf00t is making fun of a water source that is supposed to be a wind-powered dehumidifier. He makes some arguments that don't look entirely valid. He argues that the energy needed is the evaporation heat of water, or some 2000 kJ/kg. In...