Point Definition and 1000 Threads

Homework Statement IF the resultant electric field at D due to the three point charges is zero, find the magnitudes of q1 q2 in terms of q [/B]...

Homework Statement (a) A large spring has one end attached to the floor and a platform attached to its upper end. On the platform is placed a mass of 30 kg. The mass of the platform itself is 10kg. The spring-platform-mass system is then set into vertical oscillations with a period of 1.5 s...

Hello (Smile). I have been stuck on this question for a while. A company charges $550 for a transistor set on orders of 50 or less sets. The charge is reduced by $5 per set for each order in excess of 50 sets. Find the largest size order company should allow so as to receive a maximum revenue...

Homework Statement - A point charge is placed at the origin of the medium. - The relative permittivity of the medium, \varepsilon_r = a / r, a is a constant, r is the radius from origin to any point around the charge. - Objective of this question is to find the expression for voltage.at any...

whats so special about latin that they couldn't just make their point without using latin, especially because more people could understand their point? I have 2 ideas.. do either of them have any merit? 1. latin was used by the educated people so they could exclude not so smart people from any...

Ok my question: what is the difference between the binding energies of these 2 types of atoms, conceptual wise, which one is greater? I am assuming based on the easy calculations of the potential energy of the finite size atom ( inside and outside) There is a difference between the potential...

Homework Statement There are three point charges inside a conducting spherical shell of radius R. One of them of charge -2q is in the origin and the other two with charge q are in z=d and z=-d. Find the potential inside the sphere! Homework Equations ##\nabla^2\phi=4\pi \rho## 3. The attempt...

bear with me, i know that this question has been asked many time , but i would like a definite answer, now, starting off the external charge density on the outer surface of sphere WILL be uniform by unique solution of Laplace equation and letting the sphere be huge, so, electric field due to...

loop quantum gravity and loop quantum cosmology gravity becomes weaker then repulsive instead of stronger, towards the Planck regime, due to the onset of quantum effects. gravity near Planck energies and densities, LQG/LQC becomes repulsive. at the inflection point where LQG gravity strength...

I don't understand how the author get to these point. Please help me as i have been spending so much time trying to figure this out but to no avail. Thanks for your help Source: http://phys.columbia.edu/~nicolis/NewFiles/Noether_theorem.pdf

Homework Statement How should I interpret the derivative of the following function at C=6% ##N = \frac {I} {C} - D##Homework Equations ## \frac {dN} {dC} = \frac {-I} {C^2} ## At I =12 and C=6%, I am getting ## \frac {dN} {dC} = 3,333 ## I am not sure what to make of this large number. I...

Halo, my question is what is the shape of a single point? Is it round? When we find the tangent line it is in relation to the surrounding points around the point of interest. For a circle tangent line is line that cuts through a single point only but in a parabola this cannot be true because the...

Homework Statement Two long wires (in cross section) that each carry a current ##i## directly out of the page. What is the magnitude of the field at point ##P##, which lies on the perpendicular bisector to the wires? Homework Equations ##B_{wire}=\frac{\mu_0 i}{2\pi r}## The Attempt at a...

Homework Statement A point mass, sliding over an even, horizontal plane is bounded on an inextensible, massless thread. During the motion, the thread is pulled by a force F with constant velocity ##v_{o} ## through a hole O. In the beginning (##t_{o} ## = 0) r(##t_{o} ##)=b holds (the length...

Find the force on 2Q and -Q/22. Force between two point charges is given by : F = k.q1.q2 / d[2][/SUP]The Attempt at a Solution To find the force on 2q, I added the charges on left side and then calculated it using the formula. But how do we do it for -Q/2. Please guide me. Thanks

Hi, layman here, I have often read that because of time dilation, we would never see any infalling matter actually crossing the event horizon, it would just look more and more redshifted towards becoming invisible, even for infrared or microwave / radio detectors, but never becoming part of the...

Hello experts. I am attaching the image below. Kindly tell me how to calculate the values of A and B in the given figure? Now I must find A and B. How to get it? PS: P=-2.5+4.33i. But A is not at -2.5. Means PA is not making angle 90 with real axis. Thank you

Can anyone explain me in simple words what is quescent point and what is shows 2- what is ac and dc load lines what they represents actually and what is difference between ac and dc load lines

As I see it; static friction is what provides the centripetal force, but does it do anything else? When the brother applies tangential force, what will happen with the static friction, because I assume it will start to provide less centripetal force because the tangential speed of the child...

If there is a small object with positive charge placed above a metal plate, the object induces a negative charge on the surface of the plate facing the object. Let's call this surface as S1. (The metal plate is initially uncharged). But from conservation of charge, the net charge in a metal...

Let's ignore gravity in this problem for simplicity. For a wheel rolling without slipping on some surface, the rest point is the point at a given instant of time that is in contact with the surface (the rest point has zero instantaneous velocity). If the wheel is rolling at constant velocity...

Homework Statement A point on a rotating turntable 20.0cm from the center accelerates from rest to final speed of 0.700m/s in 1.75s. At t=1.25s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, (c) the total acceleration of the point. Homework...

Hey guys, I am developing an program for calculation of reactions in a "4 point support beam". The problem is that this structure is Statically indeterminate and hence requires some other method. Support on any level is appreciated, especially from Civil Engineers. I will keep on posting...

Hello! (Wave) Theorem:Let $K$ be a convex and closed subset of a Hilbert space $X$ and $x \in X$. Then there is a unique $y_x \in K$ such that $$||x-y_x||=d(x,K):=inf \{||x-y||: y \in K \}$$ Remarks: - if $K$ is not closed then the distance $d(x,K)$ isn't attained in general. If for example...

The point mass (aka particle) is a fictional but useful concept. However, I have yet been able to find a definition of what exactly a point mass is. It is commonly accepted that a point mass does not have an orientation, and thus only 3 coordinates to determine its position are required (as...

Homework Statement 11) The tangent at P on the ellipse \frac{x^2}{a^2}+ \frac{y^2}{b^2}=1 meets the x and y axes at A and B. Find, in terms of the eccentric angle of P, the ratio of the lengths AP and BP. 12) Repeat Question 11 using the normal at P. Homework Equations bx \cos \theta + ay...

Electron is usually imagined as a simple point charge, but in fact it is a very complex entity: https://dl.dropboxusercontent.com/u/12405967/electron.png - being electric charge itself means singular(-like?) configuration of electric field - E behaves like 1/r^2, - it is also magnetic dipole...

Hi guys, I attempted to prove this theorem, but just wanted to see if it a valid proof. Thanks! 1. Homework Statement Prove that x is an accumulation point of a set S iff there exists a sequence ( s n ) of points in S \ {x} that converges to x Homework Equations N * ( x; ε ) is the x -...

Homework Statement Three equal charges are equidistant from point Z. What is the electric potential at point Z? Homework Equations V = kq/r The Attempt at a Solution Because the charges are equal and equidistant from point Z, would I find the electric potential by: V = (3kq)/r ? Thank you!

Let \mathbb{S}^n be a simplex in \mathbb{R}^{n+1}, so \mathbb{S}^{n}=\{x\in\mathbb{R}^{n+1}|\sum{}x_{i}=1\}. Let D be a difference measure on \mathbb{S}^{n} with D(x,x)=0 and x=y for D(x,y)=0. D is also smooth, so differentiable as much as we need. Let (R) be a convexity requirement for D...

A manufacturing company is studying the feasibility of producing a new product. A new production line could manufacture up to 800 units per month at a cost of \$50 per unit. Fixed costs would be \$22,400 per month. Variable selling and shipping costs are estimated to be \$20 per unit. Market...

Hi All, A simple question but one for which I cannot seem to get the intuition. 1. Homework Statement Find the interior point of {1/n : n ∈ ℕ}. Homework Equations N/A The Attempt at a Solution Let S = {1/n : n ∈ ℕ}, where S ⊆ℝ x is an interior point if ∃N(x ; ε), N(x ; ε) ⊆ S. My...

Homework Statement Electric charge Q is uniformly distributed around a thin ring of radius "a".Find the potential at a point p on the axis of the ring at a distance x from the centre of the ring. Homework Equations ##r##=##√x^2+a^2## The Attempt at a Solution \ [/B] I just want to ask...

I took about 100 ml of distilled water, put a small, clean rock in it (to prevent "bumping" or explosion) and heated it repeatedly in a microwave oven on high for 45 seconds. After each heating I checked the temperature of the water with a digital temperature probe. I did this 7 or 8 times...

Homework Statement So I have this system of lenses with this problem: First lens: focal length ##f_1=50 mm## Second lens : focal length ##f_2=400 mm## Distance between them ##d=600mm## A small light source is placed at the focal point for the first lens. At the focal point for the second...

Homework Statement Hi all. What concerns me here is that it's worth 10 marks, but the solution I've tried only takes 2 steps. Am I missing some relation between the frame support and the pulley altering the components of the tension, or is the solution really just a basic trig conversion...

Homework Statement UV Rays is said to induce point mutations which get incorporated during the DNA replication process. These mutations are corrected by the excision repair mechanism of the DNA polymerase but sometimes they might be left out. In one of such cases, point insertions were...

Homework Statement Find the point on the surface z2 = xy + y + 3 which is closest to the point (1,2,0)Homework EquationsThe Attempt at a Solution Can someone check my work?

Find the point between the sun and the Earth where the gravitational force on an object is equal to zero I know the mass of the sun is 1.989 x 10^30 kg G = 6.67 x 10^-11 The distance between the two is 1.49604618 x 10^11 The mass of the Earth is 5.962 * 10^24 I have the equation F =...

Homework Statement When the train has passed at the point C, the radii of curvature is 20 m and the apparent weight is 2 2 times bigger than the real weight. At the moment when the picture was taken, the train was at the point s, located 8 m higher than the hollow C. At s, the radii of...

Hello everyone, I am trying to evaluate the spring constant of a coaxial polymer cylindrical fiber. This fiber has a stiff core and a more soft sheath. I know the geometry of the system and I know the Young's moduli of both components. I can find separate models for the core or for the sheath...

I know none of the source can perfectly be monochromatic. All that we can talk about is the degree of coherence. What I wanted to know is that suppose magically some how I get two independent perfect point sources of monochromatic light, then will then two independent sources be act as...

Homework Statement Homework EquationsThe Attempt at a Solution part a) finding partial derivatives: and plugging in (2,0,1) into each, I get the gradient which is <0,-2,0> to find the directional derivative, it is the dot product of the gradient and unit vector of (3,1,1): part b)...

Homework Statement Homework EquationsThe Attempt at a Solution what is the difference between the form z - zo = fx(x-xo) + fy(y-yo) and: Fx(xo,yo,zo) + Fy(xo,yo,zo) + Fz(xo,yo,zo)=0 ____________________________________________________________________________using the first eq : while...

Does anybody can help solve point kinetic equation for one group of delayed neutrons in steps. I am looking forward to solve it by analytical methods. dn(t)/dt=ρ-β/l n(t)+ λC(t) dC(t)/dt= βi* n(t)/l- λC I would really appreciate your help as i am have to submit to clear this paper next week

Homework Statement Is the freezing point always depressed by a solute even if solute-solvent interactions are stronger than solute-solute and solvent-solvent interaction? What about amorphous solids? 2. Relevant knowledge According to my chemistry teacher's powerpoints, the freezing point is...

Homework Statement When benzene freezes at 5.5 C its density changes from 0.879 g cm-3 to 0.891 g cm-3. Its enthalpy of fusion is 10.59 kJ mol -1. Estimate freezing point of benzene at 1000 atm Homework Equations Solid liquid boundary: p=p*+ΔHfus/ΔV ln(T/T*) The Attempt at a Solution From the...

Homework Statement This is more of a math question but: There are two particles fixed in place: a particle of charge +8q at the origin and a particle of charge -2q at x=L. At what point (other than infinitely far away) can a proton be placed so that it is in equilibrium Homework EquationsThe...

Homework Statement There is a rectangle in the x-y plane with dimensions H=1, L=2. Find a line or diagonal in the rectangle in which for every point in the shaded area below that line x>y. Homework EquationsThe Attempt at a Solution The line has to intersect a point in y=1 in which x>y. This...

Homework Statement Hi, I don't have a specific problem, I just need to know what to do when summing the moments about a point if there is a moment given at a different point. Do I just add it into the equilibrium equation as if it was about the point I am summing the moments about? Homework...