Maximum Definition and 1000 Threads

Homework Statement Homework EquationsThe Attempt at a Solution Suppose the free end of hte spring moves towards right .Consider a reference frame moving with speed 'v' along with the free end of the spring . From this frame ,the block has an initial speed 'v' towards left . At maximum...

Find the minimum and maximum of $P=\dfrac{y−x}{x+8y}$ for all real $x$ and $y$ that satisfy the equation $y^2(6-x^2)-xy-1=0$.

Homework Statement A mass m1, with initial velocity u, collides elastically with mass m2, which is initially at rest. After collision, m1 deflects by angle θ. Find the maximum value of θ. The answer given is θmax=acos(sqrt(1-(m1/m2)^2)). Does this mean that the maximum angle cannot exist if...

I am designing a submarine in low scale that the max propeller OD is 10 cm, means from center of shaft to propeller edge I have around 5 cm distance. I am trying to find the maximum thrust as this submarine suppose to pull an object inside water pipe. I need to find optimum rpm ,blade number...

for A$\subset$ B max A $\le$ sup B ? is it true ?

Homework Statement The current in a series RLC circuit leads the generator voltage by φ = 30°. The circuit, containing an inductor L = 400 mH and a resistor R = 50 Ω, is driven by a generator operating at ω = 100 rad/s with a maximum emf of 10 V. The capacitance is unknown. The first question...

The astronauts who were traveling to the space. in what way their health were affected? During the rocket launch the spacecraft should travel greater than the Earth's escape speed. Is this speed affect the astronaut? And tell me which is the maximum speed that our human body can bear?

hi, This is probably very simple issue, but i am not an engineer nor have an understanding of basic physic... I need to calculate if the tape used to connect (sealed) to ends of the cardboard box will withstand the weight of the product i put inside it. I have a tape properties (tensile strength...

Homework Statement What is the maximum mass of lead you could melt with 2000 J of heat, starting from 25 ∘C ? Lead melts at 328∘C , its specific heat is 128 J/(kg⋅K) , and its heat of fusion is 2.5×10^4 J/kg . Homework Equations Need to find both the mass in the heat of transformation (Q =...

Find maximum likelihood estimators of an sample of size $n$ if $X\sim U(0,\theta].$ Hello MHB :)! Can any user help me please :)! I don't how follow...

I do not know much about computers too (not really true but I am not really up to date), I do not know if I am doing what I am supposed to, here is my first simple question: Two connected pipes, equal diameter (internal) 100 mm, same height (2200 mm), I have water in one pipe at 2000 mm, in the...

I have an engine with the following specifications: 305 cc, 4-stroke single-cylinder. Torque : 18.53 N m @ 2800 rpm. Weight of the car 275kg Coefficient of drag:1.15 Frontal area: 0.9177m^2 Rolling resistance:0.04482 Engine wheel efficiency: 78% How can i calculate the Max. acceleration and...

Homework Statement At what distance (OR at what time) does it take for an object falling at 32 ft per sec per sec. to reach terminal velocity in its descent?? Homework Equations The only equation I can think of to use here would be distance = (rate of descent) times time. The Attempt at a...

Homework Statement Hi guys, I have a question here, which asks me to express the maximum stress from my simply supported beam, which I worked out to be 1.165MPa, to be expressed as a percentage of the Yield strength 95MN/m^2. I also have a follow on from that which asked me how much the...

Hey, I'm stuck halfway through the solution it seems. I could use some tips on how to continue. 1. Homework Statement I have to determine a linear combination of the states |0\rangle, |1\rangle, of a one dimensional harmonic oscillator, so that the expectation value \langle x \rangle is a...

Can relative maximum and minimum points exist when a function is defined at say x=c, however the derivative does not exist or tends to infinity? Ie the graph of. F (x)= |x|, for x=c=o. If I am correct the relative minimum is at o, can it also be the abs minimum? I recalled the theorem by...

Homework Statement How to determine maximum voltage that coaxial cable, whose height is L and is filled with dielectric in such way that E is the same in the dielectric and in the part of the cable that isn't filled with dielectric (only vacuum),can handle if i have maximum electric field that...

Homework Statement (a) An 81 kg student is launched from a bridge by his best friends, some 50 metres above the river surface. Fortunately, he is attached to a 30 m bungee cord with a spring constant of 270 N/m. i) What is the equilibrium length of the bungee cord, including the force of...

Homework Statement Two identical disks with mass m and radius r are connected via a massless wire of length L which is winded up around both disks. Disk B is connected to the ceiling and is free to rotate around its axis. Disk A is besides disk B and will fall due to the gravitational force...

Hi, I have some thoughts about making a much better pool solar cover. My thoughts are to maximize the temperature increase. I plan to suspend a plastic film 6 inches above the surface of the pool water creating a green house effect. Normally, very small plastic are pockets are embedded in the...

Homework Statement (c) Show that ##tan(x) + cot(x) \equiv 2csc(2x)## (d) Hence or otherwise, find the coordinates of the local maximum and local minimum points of the graph of ##y = tan(2x) + cot(2x), 0≤x≤\frac{π}{2}## Homework Equations Most likely a lot of different trigonometric formulas to...

Homework Statement A ball A is thrown upward to a height H with a velocity of 20m/s, another ball B is thrown down from H with a velocity of 20m/s and a third ball C is just dropped from the same height. Find which ball has the maximum velocity when it hits the ground.Homework Equations...

Hello, I've been trying to come up with a short way of writing the code. What I'm trying to do is: I have 11 equations, each of which have a defined minimum and maximum. I'm trying to find the highest maximum out of all of them and I need to know which one it is. The highest as in farthest...

Hey! :o Let $S=\{x \in \mathbb{R}^2 \mid |x| <1\}$. Using the maximum principle I have to show that the solution of the problem $$-\Delta u(x)=f(x), x \in S \\ u(x)=0, x \in \partial{S}$$ satisfies the estimation $$|u(x)| \leq \frac{1}{4}\max_{x \in \overline{S}} |f(x)|, x \in S$$ To use the...

Hey! :o Let $\Omega$ a bounded space. Using the maximum principle I have to show that the following problem has an unique solution. $$u_t(x, t)-\Delta u(x, t)=f(x, t), x \in \Omega,t>0\\ u(x, t)=h(x, t), x\in \partial{\Omega}, t>0 \\ u(x, 0)=g(x), x \in \Omega$$ I have done the following...

Hey! :o Let $\Omega$ a bounded space. Let $u_1$ the solution of the problem $$-\Delta u_1(x)=f(x), x \in \Omega \\ u_1(x)=g_1(x), x \in \partial{\Omega}$$ and $u_2$ is the solution of the problem $$-\Delta u_2(x)=f(x), x \in \Omega \\ u_2(x)=g_2(x), x \in \partial{\Omega}$$ Using the maximum...

Homework Statement I need to calculate the position and magnitude of the maximum bending moment. Knows are: E=210GPa Homework EquationsThe Attempt at a Solution I've calculated the following: R1=33kN R2=32kN From the shear force diagram I know that at 2m from R1 at the concentrated load of...

Homework Statement Given height dropped and gravity constant, what is the maximum and average velocity of an object dropped from a building. Gravity- 9.81 (Delta)y- 45 m. Height from which object is dropped T- 3.1 seconds Homework Equations V= v(final)-v(initial)= a x (delta)t V(avg)= (sqrt...

What does it mean by maximum work of an isothermal, reversible expansion of a perfect gas from initial volume Vi to final volume Vf at temperature T? I understand that heat enters the system during this expansion to ensure that no internal energy is lost but it doesn't really help in anyway...

Hello everyone, I have two generators, piezoelectric and electromagnetic generator. Piezoelectrics are producing maximum voltage across 3 Mohm resistor where as EM generator is producing maximum voltage at 68 ohm. What would be the ideal load for to get the maximum output from both when...

Terric Wears Inc., a clothing rm determines that the demand for their suits is given by d = 2(175􀀀p), where d represents the demand and p represents the price of a suit. (Recall that Revenue=PriceDemand, Profit=Revenue-Cost.) (1) Find the selling price for a suit that will generate maximum...

Imagine a maximum entropy information system: This system would hold meaningful information, not just random noise, but still be of maximum possible entropy in the sense that you could randomly change the order of the smallest bits of information in it without actually changing the overall...

Hi, I am working on a project where I want to use a photoresistor to measure displacement, by reflecting light off of a small component and measuring the light that is reflected. the goal is to measure vibration. I am having a hard time finding information on the cutoff frequencies of...

Homework Statement [PLAIN]http:// Question D. Homework Equations The Attempt at a Solution The wavefunction is all real. So I can simply sqaure it... However when I do this and differentiate it using the product rule, I'm getting r = 2a(naught) as the maximum and not 4a(naught)... Any...

For any positive real numbers a, b such that $a+b=1$, the inequality $(1+\frac{1}{a})(1+\frac{1}{b})\ge k$. Find the maximum value of $k \in \Bbb{R}$. I did: $(1+\frac{1}{a})(1+\frac{1}{b})= \frac{a+1}{a} \cdot \frac{b+1}{b}=\frac{ab+a+b+1}{ab}= 1+\frac{2}{ab} \ge k$ Using the Cauchy's...

Homework Statement A 2.44-kΩ and a 4.92-kΩ resistor are connected in parallel; this combination is connected in series with a 1.12-kΩ resistor. If each resistor is rated at 1/2 W, what is the maximum voltage that can be applied across the whole network? Homework Equations P=V^2/Req V=I*R...

Homework Statement Homework Equations V(oc) = I(sc) * R(th) Kirchoff's voltage law The Attempt at a Solution a) is okay. For part b): After redrawing with the R(th) and V(th) found in part a): Equations of loops: s is I(sc) a is I(left loop) left loop: -8 + a(4000) + (a-s)(4000) = 0 right...

Homework Statement In the figure shown below all surfaces are friction-less. Find the maximum extension in the spring(in meters) , if the blocks are initially at rest and the spring is initially in its natural length. Details and Assumptions: F=30N k=700N/m m=5kgHomework EquationsThe Attempt...

Homework Statement A rectangular region of 125,000 sq ft is fenced off. A type of fencing costing $20 per foot was used along the back and front of the region. A fence costing $10 per foot was used for the other sides. What were the dimensions of the region that minimized the cost of the...

Homework Statement Part (a) has already been solved and determined to be 5kΩ, which has been confirmed by the answer key. The answer key also states that the maximum power able to be delivered to Ro is 957 µW, but doesn't give any workings or explanations on how to reach this answer...

Find the maximum integral value of $k$ such that $(k-4)(x^2+x+1)^2-(k-3)(x^2+x+1)(x^2+x+2)+(x^2+x+2)^2=0$ has at least one real root for $x$.

hi there..i have a question...back at my work, we have a power supply which have a variable current and a variable voltage...my senior said, he have a ic board to check, and then he uses a 5 volt supply with unknown current on it to power up this board, he then claims that you can supply the...

Homework Statement Two identical particles, each of mass m are located on the x-axis at ## x=+x_0 ## and ## x = -x_0##. At what point (or points) on the y-axis is the magnitude of ##\vec g ## a maximum value and what is its value there? Homework Equations Formula for gravitational field...

Homework Statement A radar receiver can be tuned to detect signals are different wavelengths. If the frequency difference between the minimum and maximum wavelength is 10 GHz and the minimum detected wavelength is 4910µm. What would be the maximum wavelength? Homework Equations λƒ=c The...

Homework Statement A mass of 0.36kg hangs motionless from a vertical spring whose length is 0.8m and whose unstretched length is 0.51m. Next, the mass is pulled down to where the spring has a length of 1.09m and given an initial speed upwards of...

Homework Statement A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is 3.0 m away. The central maximum is 5.0 cm wide. Determine the width of the slit. I have two ideas of the answer but I'm not sure which is...

If $x,\,y,\,z$ are three real numbers such that $x+y+z=0$ and $x^2+y^2+z^2=2015$, find the maximum of $(xyz)^2$.

Homework Statement The question is asking us to minimize the maximum bending moment by changing l3. l1=3(m) l2=6.5(m) l4=12(m) P1=1200(KN) P2=2300(KN) P3=410(KN) and we know that obviously, 6.5<l3<12 Homework EquationsThe Attempt at a Solution We made relevant cuts and acquired the equations...

Homework Statement 2. Homework Equations [/B] I was given this info r=1.5 m d=3 m F= 50 angle= 110 degreesThe Attempt at a Solution T=Fsin T= (1.5)(50)sin(110) T=70 N I attempted the solution^ to get (maximum) torque.

Homework Statement " A 1100 kg lift is suspended by a series of 24 steel cables of mean diameter 20mm. The cables are attached to the lift top and are arranged so that torsional vibration is minimised.If the cable is manufactured from steel with an elastic modulii of 185GN/m2 and elastic...