Maximum Definition and 1000 Threads

Homework Statement the initial velocity of a projectile is 150 m\s .the angle between the velocity vector and the trajectory at the projectile's maximum height is a) 90 b) 45 c) zero d) 63.1 e) 36.9 Homework Equations Vox= vx = Vocosθ Vy = Vosinθ-gt Range (R) = (vo)^2*sin(2θ)/g...

Homework Statement "what is the maximum speed at which a car can safely travel if the radius of the track is 80.0 m and the coefficient of friction is .40" friction is providing the force and the track is flat and circular. Homework Equations the equations that we've been using in class...

Homework Statement A 104-turn coil rotates 7.14 times per second. The coil has a cross-sectional area of 0.670 m2 and the magnetic field through the coils is 0.0720 T. What is the maximum emf induced in the coil? Homework Equations Honestly the rotating coil is throwing me off. But I...

Homework Statement I'm only trying to answer the maximum deceleration possible question, not the rest. Homework Equations Not really sure which equations are applicable, I know the Maximum deceleration of a body in general will be a = μ*g. Although I would think that moments...

Homework Statement For a string of length 100m with fixed ends, a pulse is traveling to the right at a speed of 40 m/sec. The pulse has a wavelength of 2 meters and an amplitude of .1 m. Homework Equations y=A*Sin(kx-wt) ((where w is omega)) \lambda=2*pi/k frequency=w/2pi...

Homework Statement 1. Suppose the data consist of a single number X, and the model is that X has the following probability density: f(x|θ) =(1+ xθ)/2 for -1≤ x ≤1; =0 otherwise. Supposing the possible values of θ are 0 ≤ θ ≤ 1; find the maximum likelihood estimate (MLE) of θ, and find...

An object is constrained by a cord to move in a circular path of radius 0.5m on a horizontal frictionless surface. The cord will break if its tension exceeds 16N. The maximum kinetic energy the object can have is: Attempt at solution: Well if tension can only be constant, then velocity is...

Homework Statement Find the extrema of over [0,pi/2] ρsinθ + cosθ = f(θ), where ρ is a constant Homework Equations Extrema occur at critical points and global extrema occur at end points. The Attempt at a Solution f(0) = 1 f(pi/2) = ρ f'(θ) = ρcosθ - sinθ = 0 ρcosθ = sinθ. θ =...

Homework Statement A launcher fires a ball that weighs 30kg straight up to a height of 300m. What is the maximum range of the ball could be fired at? Homework Equations V^2 = V^2-2(a)(d) R = ( V02 Sin2θ ) / gThe Attempt at a Solution To find the maximum range i know that it has to be...

Homework Statement Determine, for the network shown in fig 4 the value of the load Impedance that will dissipate the maximum power and the value of this power.Homework Equations Using Thevenin theorem to simplify the circuit then,I believe maximum power transfer theorems apply. P=I2R...

Homework Statement Prelab material, I know how to solve for the gain and vout on a circuit. But reading the actual manual of a op-amp is confusing and I just want to make sure I'm correct. The initial input voltage will be a 1V triangle wave. Then later we increase the voltage to 3V. R1 is 1K...

Homework Statement Find the minimum and maximum values of x and the values of f(x) at these points if: f(x) = 10.9sin(0.7x)+2.1cos(0.7x) The range is (-.27,8.7) Homework Equations I don't know/think there are any The Attempt at a Solution I found f'(x) =...

When following solutions like this link: http://physics.about.com/od/physicsmtop/g/PerfectlyInelasticCollision.htm I understand that energy is lost, but it doesn't necessarily show that this is MAXIMUM energy loss, just that there is energy lost. How would you go about proving that more energy...

Homework Statement A string is tied to a 4.4 kg block and 120g hanging bucket. Students add 20g washers one at a time to the bucket. The student are unaware that the coefficient of static friction for the block on the table is 0.42. A) what is the maximum force of static friction for the...

Homework Statement An unstable particle of mass M = m1 + m2 decays into two particles of masses m1 and m2, releasing an amount of energy Q. Determine the kinetic energies of the two particles in the CM frame. Given that m1/m2 = 4, Q = 1 MeV, and that the unstable particle is moving in...

Hello, It's been a while since I did this in college and I cannot remember a few steps. I am trying to calculate the maximum force my designed shaft can handle before bending/shearing. My shaft material is C1018 steel rod, with a yield strength of 53.7 KSI and an ultimate strength of 63.8 KSI...

Homework Statement Find the required value of the load to achieve maximum power transfer for Z = 12+24 ohms Homework Equations ZL = Zs [b]3. The Attempt at a Solution [/b As the question does not state whether or not the phase or magnitude of the load can or cannot be varied. I...

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

$n\in N$ $n^2 - 2112 $ is a multipler of $n+10$ please find :$max(n)$

Hi, I am not sure how to solve the following high school algebra problem. As shown in the attached file, I have plotted the first three equations, but I don't know what to do with the fourth equation. Find the minimum and maximum values of the objective quantity. 2X + Y ≤ -8 3X - 2Y...

Homework Statement Hey guys, I am having problems with finding the maximum charge of a capacitor. From the experiment we are given R=100 Ohms, and Capacitance = 330 uF We are asked to find the maximum charge the capacitor has. Time to half charge was 0.0235 sec. Voltage is 4V Homework...

Homework Statement A damped oscillator has a displacement x as a function of time t given by x = e-t cos(∏t). Find the time at which the displacement is a maximum, when it is a minimum, and also nd the time when x is a point of inflection. Homework Equations x = e-t cos(∏t) The...

Hello, If I have a shaft that has a section area of .0562 in. sq. and a material yield strength of 60KSI. And I will have the force applied at the top of the shaft pushing down. The shaft will be in a cantilever configuration where the force will be applied .125" from the base of the shaft...

Homework Statement A projectile is fired at 30 km/h at the angle θ in x direction of an x-y plane. Ignoring the effects of air resistance, find the maximum range and the value of θ that gives this range Part A: write down the initial horizontal and vertical components of the velocity Part...

Homework Statement Find the maximum torque given: 500RPM 30N Please the Attached picture for detailed information Homework Equations The Attempt at a Solution

Homework Statement One often stated advantage of ethanol/water as a recrystallization solvent is that the mixture behaves like ethanol at reflux and like water at room temperature or below. Assuming that 24 mL of the solvent is used per 1 g of crude product and recrystallization and recovery...

Homework Statement The bar 1 in the figure has a cross-sectional area of 0.75 in^2. If the stress in this bar must be limited to 30 ksi (30,000 psi) determine the maximum load that P that can be supported by the structure. Homework Equations σ = F/A τ = Fd The Attempt at a...

Homework Statement An ball is launched at a 45 degree angle with an initial speed v0. What is its speed at its max height? Homework Equations n/a The Attempt at a Solution This problem does not contain any calculations. I was wondering if somebody could explain how the speed at...

"Consider a solution of the diffusion equation ##u_{t} = u_{xx}## in {0 ≤ x ≤ L, 0 ≤ t ≤ ∞}. a) Let M(T) = the maximum of u(t,x) in the closed rectangle {0 ≤ x ≤ L, 0 ≤ t ≤ T}. Does M(T) increase or decrease as a function of T? b) Let m(T) = the minimum of u(t,x) in the closed rectangle {0 ≤ x ≤...

Homework Statement A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the rocket. The bolt hits the ground 8 seconds later. Three seconds after the bolt falls off, the rocket's engines fail. How high does the rocket go before it begins...

Homework Statement In a damped harmonic oscillator, show that |R(\omega)|^2 = \gamma at full width half maximum. 2. My attempt at a solution This is another one of those questions that I feel like I am almost there, but not quite, and it's the math that gets me. But here goes: For a...

1. Homework Statement A 2-kg mass attached to a spring oscillates in simple harmonic motion and has a speed of 5 m/s at the equilibrium point. What is the maximum potential energy of this oscillating mass? 2. Homework Equations I know that the potential energy is: Ep = 1/2 kx2 k = mω2

Homework Statement The Entropy of a probability distribution is given by, S = -k_B \sum _{i=1}^N p(i)\ln{p(i)} I've shown that the extremum of such a function is given by, S' = k_B \ln{N} (which is a positive quantity) Now I want to show that this is a maximum by showing that S' - S...

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Homework Statement A person of mass mp stands on a scale in an elevator of mass me . The scale reads the magnitude of the force F exerted on it from above in a downward direction. Starting at rest at t=0 the elevator moves upward, coming to rest again at time t=t_0. The downward acceleration...

Homework Statement P-type silicon can be doped in the range from 5x1014 cm-3 to 1020 cm-3. Determine the maximum possible number of minority electrons in a neutral P-type region if the device area is limited to AD = 1 cm x 1 cm and the thickness of the P-type region is limited to tP=100 μm...

Homework Statement Given f(t) = integral {(x^2 + 12x + 35)/(1 + cos^2 (x)) dx}. At what value of t does the local max f(t) occur? (A more aesthetically-pleasing version of the question is attached as TheQuestion.jpg.) Homework Equations Differentiating (I think). The Attempt at a Solution I...

Homework Statement A particle is projected with an initial speed u from a point at a height h from the horizontal plane. Find the equation for maximum range of the particle. Homework Equations R=u^2sin2θ/g H=(usinθ)^2/2g The...

Homework Statement Assuming that the rock launched by a catapult is released from ground level, show that the theoretical maximum range is: R=2Mh/m, where M = mass of counterweight m = mass of rock h = height counterweight falls Homework Equations Ep=mgh Ek=(mv^2)/2 The Attempt...

I would like to calculate the maximum distance, crest, a guitar string will travel at it's center when plucked in order to determine how high the string needs to be on the fretboard to avoid striking parallel frets and thus avoiding "fret buzz". Example: 0.762 mm string thickness with...

Hi, I've got a simple question regarding the maximum of the spectral energy density in Planck's black body radiation. It turns out that if you calculate which frequency has the most power associated with it (i.e. maximize R(\nu)), then you do it with wavelength as well, and compare, they're not...

Hello! I would like to know what is the maximum flux density that can be used in a core for DC generator without taking the core in it's saturation point now a days?

Homework Statement So the question states that we have a hollow metal sphere of radius 2cm that is charged up. We take the breakdown field of air to be 1MV/m. We are asked to: a) Calculate the maximum amount of charge which can be placed on the sphere. b) Calculate the maximum potential on...

Homework Statement Given that V(t) = π*cos(πt/1.6 + π/6), at which time after t = 0 s is the kinetic energy first at a maximum? The answer is 1.33 seconds. Although, when I put it in the calculator, 1.33s is at a minimum. How would you do this by hand? Step by step work would be appreciated...

Homework Statement A ray of photons coming from a laser with a wavelenght of 589.59nm meets a ray of sodium atoms (A=23) coming from the opposite direction. What is the maximum speed the sodium atoms can have in order to absorb photons? The Attempt at a Solution I thought about...

I've prove everything except for the fact that E is bounded below. It would appear that you would need to know something about the functions taking a minimum value as well to show this using my method, so perhaps there is another way of thinking about things to show a lower bound?

Hello, I hope this is the right section to post this question. While analysing the asymptotic value of a ratio of a bessel and a hankel function, I reduced it to something of the form [(1 + β/n)^ n * (1 + n/β)^ β] / 2^(n+β) ; n and β are integers and greater than 1 how do I show that...

$a,b,c,d,e \in R$ $a+b+c+d+e=8$ $a^2+b^2+c^2+d^2+e^2=16$ $find :\,\, e_{max}$

I have a 1.5m beam with a uniformly distributed load of 57kn/m acting over 1.2m of the beam (0.6m from the centre of the beam in both directions). I require the maximum moment and the deflection of the beam. I know the maximum moment equation wl^2/8 and the deflection formula 5wl^4/384EI...

WHat is the permissible maximum transmission ratio of a Spur gear pair? I read somewhere that it is 1:5. What wil happen if this is exceeded?