Plane Definition and 1000 Threads

Homework Statement On an incline with slope angle α there lies a cylinder with mass M, its axis being horizontal. A small block with mass m is placed inside it. The coefficient of friction between the block and the cylinder is μ; the incline is nonslippery. What is the maximum slope angle α for...

Some things I did not get are, 1): In the third para, it is said that potential approaches ##\infty## at ##Q##, why ? 2): In last para, The z component of field by ##Q## is said to be ##-Qh/(r^2 + h^2)^{3/2}##, Why ? should not it be ##+Q## not ##-Q## has the charge itself is positive. 3): I...

Homework Statement Charge is distributed uniformly over a large square plane of side l, as shown in the figure below. The charge per unit area is σ. Determine the electric field at a point P a distance z above the center of the plane, in the limit l -> infinity.. Homework Equations please...

I want to create a plate of distinct circles on Matlab where their radii are generated by randn(1,p) and centers are random. I am currently doing the circles using viscircles, but some of them are overlapping, and since I want approximately 100 ones, this problem only gets worse. How can I make...

In two papers of Terrel and Penrose, the concept of Terrel effect were presented. Both of the papers say that "the plane of projection is expanded by a certain factor, which is equal to Doppler factor for certain cases." Now does it mean the area of the projected plane is expanded by that...

Homework Statement I am trying to study for an exam and a section in the book on pressure on a plane is shown in the attached picture. I am trying to understand how equation15.16 was derived. I know normally the line of action is found using moments so this seems to be a short cut but I...

Hi, I was trying to draw a plan 2,0,0 in X,Y,Z co-ordinate system Is it correctly drawn ? I think ...I'm wrong in drawing this plane I think I'm wrong because each point in this plane has non zero y & z value...they are not having y=0& z=0 everywhere all the time although x=2...

Homework Statement We place a cylinder with radius R, a sphere with radius R and a sphere with radius (2R). Which of the solids will roll out of the plane first? Assume no rolling resistance and no air resistance. Homework Equations 1) The net torque is the torque of the force of static...

I am aware that in classical electrodynamics a metal exponentially attenuates TEM waves. I am wondering if this fact is sufficient to obtain estimates of the cross section of low energy gamma rays in metals. Obviously it would fail for higher energy gamma rays where Compton scattering and pair...

Why the gaussian surface is "A" instead of "2A" on the right-hand side?(the photo attached below) Due to the thickness of the sheet? I usually find that E=σ/2ϵ0 is being frequently used but we hardly use E=σ/ϵ0. When can I directly apply the equation E=σ/ϵ0 ?

Homework Statement consider a 3300 lb car whose speed is increased by 35 mph over a distance of 200 ft while traveling up a rectilinear incline with a 15% grade. model the car as a particle, assume the tires do not slip, neglect all sources of frictional losses and drag. find the work done by...

I am putting in a new flue for a Pot Belly stove. The ceiling through which the flue goes slopes at 12.5º. I want to cut a hole in a metal plate that will be fixed to the ceiling, and through which the flue passes. So, a vertical circular flue, radius R, passing through a ceiling sloped at...

∴1. Homework Statement Find an equation for the plane that contains the point (1,-1,2) and the line x=t, y=t+1, z=-3+2t? 2. Homework Equations The Attempt at a Solution I don't know what I am doing wrong but everytime I try to do these plane questions my amswer is always the opposite sign of...

Homework Statement A pilot is attempting to deliver emergency food and first-aid supplies to an isolated northern community that has suffered severe flooding. The plane has a horizontal velocity of 1.4 10^2 km/h as it flies at an altitude of 1.80 m x 10^2. The community is situated on a dry...

Homework Statement "Figure 5 depicts a 30 000 kg aircraft climbing at an angle θ = 15˚ when the thrust T = 180 kN. The aircraft’s speed is 300 km/hr and its acceleration is 2m/s2. If the radius of curvature of the path is 20 km (i.e., θ is decreasing), compute the lift and drag forces on the...

Homework Statement A convex spherical mirror with a focal length of magnitude 24.0 cm is placed 22.0 cm to the left of a plane mirror. An object 0.300 cm tall is placed midway between the surface of the plane mirror and the vertex of the spherical mirror. The spherical mirror forms multiple...

Homework Statement A block lies on an inclined plane with an angle of elevation theta. The inclined plane is frictionless, and the plane is accelerated to the left such that the block's height remains constant. What is the net force on the block? I'm having trouble figuring out how to draw the...

<Incorrect link deleted. See post below.> For a start the solar cells do not look big enough to power the craft.

I would like to approximate a plane electromagnetic wave with a very large sum of the following. Let an infinite line, say the z axis, have a electric polarization on that line and perpendicular to that line, say the x direction to be specific given by, P(z,t) = pcos(kz-ωt). The polarization...

Homework Statement A 300 MHz plane wave propagating through a non-conducting medium having relative permeability= 1, relative permittivity= 78.What is the velocity of light in this medium? Homework EquationsThe Attempt at a Solution n=√(78) v=c/n =3*108/√78[/B]

I came upon this: http://physics.stackexchange.com/questions/174514/will-the-electrostatic-force-between-two-charges-change-if-we-place-a-metal-plat/323006#323006 question on Physics Stackexchange which I found very interesting. The configuration is basically two positive point charges q and...

Homework Statement In plane polarised light, the oscillations of the electric field are: A. in a single plane, which includes the direction of energy transfer. B. in a single plane, which is perpendicular to the direction of energy transfer C. in perpendicular planes, which are perpendicular...

how much power(hp) would a 1-ton tracked vehicle need to climb 40° hills at 10kph. I know that this isn't exactly a physics question but I know that solving it involves physics to a certain extent.

Homework Statement A uniform slender rod of length L = 1180 mm and mass m = 5.4 kg is suspended from a hinge at C. A horizontal force P of magnitude 75 N is applied at end B. Determine the distance for which the horizontal component of the reaction at C is zero. I have attached the image...

Context: In James Hartle's Gravity, pp. 318-319, Example 15.1, he considers the case of a particle that starts falling from infinity into a Kerr black hole, initially with no kinetic energy (e = 1) and initially moving radially (ℓ = 0). The particle's motion is constrained along the equatorial...

Homework Statement Homework EquationsThe Attempt at a Solution This is the problem in Goldstein's classical mechanics exercise 1.11 I wonder why the solution doesn't consider rotational kinetic energy (1/2 I w^2) So, L= T = 1/2mx^2 + 1/2 I w^2 .

Homework Statement Use Gauss's law to find the electric field caused by a thin, flat, infinite sheet with a uniform positive surface charge density σ. Homework Equations φ(flux) = ∫E*dA = qencl / ε0 The Attempt at a Solution I set up a diagram like this...

1. Homework Statement : The block of mass m1 as shown in the figure (pic attached)is fastened to the spring and the block of mass m2 is placed against it. a)Find the compression of the spring in equilibrium position. b)The blocks are pushed a further distance (2/k)(m1 + m2)g sinθ against the...

I need a little help from anyone capable... My company is looking to ship 1000s of the packages around the US, the problem is as follows: The packages contains pods in pic related - they have liquid in them, and sometimes during air travel, the difference in pressure causes them to leak. We...

Homework Statement Find an equation of the plane that passes through the point (1,2,-2) and that contains the line x=2t,y=3-t,z=1+3t. Homework EquationsThe Attempt at a Solution I know that a plane is determined by a base vector and a normal vector, and the equation of the plane is ##\vec{n}...

Homework Statement assuming the point given is P(3,2,3) and the equation of the plane is 2x + y + 2z = 2, find the distance and the point Q which represents that point Homework EquationsThe Attempt at a Solution Okay so I think that OQ-OP = QP, which connects the two points and is the line...

Homework Statement A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...

Homework Statement f(z)=2x^3+3iy^2 then it wants f '(x+ix^2) The Attempt at a Solution So I take the partial with respect to x and i get 6x^2 then partial with respect to y and I get 6iy, then I plug in x for the real part and x-squared for the imaginary part, then I get f '...

Hi, the problem is parametric families: To find Differential equation of all the conics in the plane with the origin in the center But when you speak of center at the origin being the equation of the conics: Ax ^ 2 + Bxy + cy ^ 2 + Dx + ey + F, is it correct to take the origin by making x and...

Homework Statement A sled goes down a frictionless hill onto flat ground with friction. The sled comes to a stop in some distance. The height of the hill, the angle of the hill w.r.t the horizontal, the initial velocity of the sled, and the coefficient of kinetic friction are all known. I...

Homework Statement Provide a complete proof that a regular plane curve γ : I → R2 can near each point γ(t0) be written as a graph over the tangent line: more precisely, there exists a smooth real valued map x → f(x) for small x with f(0) = 0 so that x → xT(t0) + f(x)JT(t0) parametrizes γ near...

Recently, I designed (in my head) a Hypervelocity Passenger Vehicle (just a cool name for really high speed transports). I immediately ran into engine design problems ( I like designing everything stand-alone), since regular jet engines can't get to Mach 8.8 without burning up into flames, and...

Hey! I'm conducting an experiment wherein a car of various weights travels down an inclined plane of varying angles, attached to the back of the car and the top of the ramp is an elastic cord. Once the car reaches the end the elastic pulls backward, and thus pulling the car back. We are...

Homework Statement lim as z--> i , \frac{z^2-1}{z^2+1} The Attempt at a Solution [/B]When we plug in i we get -2/0, so we get division by 0, Does this mean the limit is infinity, I also tried approaching from z=x+i where x went to 0, you get the same answer, I also approached from...

Homework Statement So, these 2 blocks are connected by a rope. Aluminuim block is 2kg and copper is 6kg. They are kept in motionless state via some kind of mechanism on steel surface. θ is 30 degrees. I was given dynamic and static friction coefficient (Aluminium μs=0,61 i μd=0,47, Copper...

Homework Statement What is the mapping of the circle of radius 1 centered at z=-2i under the mappinf f(z)=1/z The Attempt at a Solution I write the circle in polar form -2i+e^{ix} Now we invert it and multiply by the complex conjugate. so we get f(z)=...

Homework Statement A train engine climbs a hill. The engine is 30% efficient. The train has a mass of 12000kg. The hill is 750m in height, with an incline of 20° form the horizontal. Friction exerts a force opposing motion of 8000N throughout the climb. Find w, Qin and Qout for the engine...

Homework Statement A function is given as W = ln (Z) Z = x + i y W = u + i v i is sqrt of (-1) The u = constant lines get mapped in z plane as ? Homework Equations Z = x + i y = [ sqrt {x2 + y2 } ] ei (theta) where theta is tan-1 (y/x) The Attempt at a Solution Function w is w = ln (z) =...

Homework Statement A ball is thrown with initial speed v0 up an inclined plane. The inclined plane makes an angle of π/6 above the horizontal line and the ball is launched at an angle θ above the inclined plane. No air resistance in this problem. (a) How long does the ball stay in the air? (b)...

Hi All, This question is about vector calculus, gradient, directional derivative and normal line. If the gradient is the direction of the steepest ascent: >> gradient(x, y) = [ derivative_f_x(x, y), derivative_f_y(x, y) ] Then it really confuse me as when calculating the normal line...

If an object is is projected up a rough plane with a velocity. Why don't we take the velocity into account when we are finding out the deceleration?

Hi there. I very much enjoy this forum and have been doing so for a while. I have a problem and I am not sure of the explanation I came with. Suppose there is a plane that is nosediving perpendicular to Earth. What will the "passengers" feel? In the first seconds the acceleration will be equal...

Homework Statement A rope of length L is falling off an incline. Part of the rope is still on top of the horizontal surface. There is no friction between the incline and the rope. The incline is at an angle theta above the horizontal. a) What is the magnitude of the acceleration of the rope...

Homework Statement Solve each equation for z=a+ib z^{*2}=4z where z* is the complex conjugate The Attempt at a Solution I wrote z and z* in terms of x and iy , and tried solving for x and y, but I get quartic terms for y, it doesn't look like it will boil down, It was like over 2 pages of...

Homework Statement find equation of plane P that is perpendicular to line L which passes through the point (-2,-2,3) Homework Equations ... The Attempt at a Solution [/B]line L passes through the points (1,2,1) and (0,0,-3) I have worked out the parametric equations of line L to be x=1-t...