Plane Definition and 1000 Threads

Homework Statement A car is moving on a horizontal road with speed of 60 km/h. When it starts to move on an inclined plane its velocity decreases by 10 km/h. How much its velocity will increase when the car starts to move down the plane? Assume that the power of the engine remain the same, any...

Homework Statement A body is moving on an inclined plane which has a slope of 30o. When the body is h=1,5m above the surface it has a velocity of vo=3 m/s. At the bottom of the plane it bounces elastically and starts moving upwards. Find the height it reaches, when the coefficient of frictions...

Homework Statement A 1000 kg plane is trying to land on the deck of a 2000 kg barge at rest on the surface of the sea. The only frictional force to consider is between the plane’s wheels and the deck, and this braking force is constant and equal to one-quarter of the plane’s weight. What must...

Please refer to the following image, which shows a portion of the deformed centerline of a beam in its equilibrium configuration with a uniformly distributed load. The stress resultants are the axial forces T, transverse shears Q, and bending moments M at sections 1 and 2, with the rotations...

Homework Statement There is a block of 1kg (m1) resting frictionless on another block of 5kg (m2). m1 is connected by a horizontal spring to m2. m2 is resting on an inclined plane of 45°. Between m2 and the plane there is friction. A force of 200N is applied on m2, pushing it upwards. F=200N...

I've been trying to work out what I'm doing wrong on this question but I just don't get it. 'A cyclist starting from rest freewheels for 120m down a slope of 1 in 30. At the bottom of the slope the road becomes horizontal, and the cyclist stops without using his breaks after going a further...

If I were on an infinitely flat plane and had an infinitely powerful telescope, could i see another person through that telescope standing on that same plane billions of miles away? is it true that the horizon would never block the telescopes view of the other person even though he is billions...

Please just hint me in the right direction, I'm kind of lost with it. Thanks for any help

Homework Statement The smooth homogeneous sphere rests in the 132° groove and bears against the end plate, which is normal to the direction of the groove. Determine the angle θ, measured from the horizontal, for which the reaction on each side of the groove equals the force supported by the end...

I am trying to solve a problem using Newtonian Mechanics. I was able to solve it using Lagrangian Mechanics, and got the correct answer from the textbook, but when I use Newtonian I get the wrong answer. I want to be able to do it both ways in order to understand/appreciate the difference...

Homework Statement What weight WB will cause the system to be in equilibrium? Neglect all friction, and state any other assumptions. Homework Equations ΣF=0 The Attempt at a Solution I can't figure out what I am doing wrong with these pully problems, I tried putting in resultant forces at...

Homework Statement A block with mass m = 2.66 kg is placed against a spring on a frictionless incline with angle θ = 37.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 14 N/cm, is compressed 19.1 cm and then released. (a) What is the elastic...

Homework Statement Homework Equations W = F d The Attempt at a Solution W = F d 30 = F * 2 * cos 0 30 = 2 F F = 15 N [NOT IN CHOICES] !

Hello. The ground plane is sometimes used as current return path. If current is low frequency and amplitude is small then voltage rising due to current flow can be ignorable. However, what is return current is actually very high in both frequency and amplitude? In our lab, gas discharge...

Hi, In a 3D plane, I have another plane P1 equal to Ax+By+Cz=0 (D=0 since one of its points is (0,0,0) ) If I have the coordinates (x1,y1,z1) in the first plane, what are the cordinates of this point in the P1 plane? I know the equation of the intersection line. But my calculations are going...

Homework Statement An ideal cord is connected to a wall on the top of an inclined plane at one end and is wound around a thin homogeneous cylinder of mass M and radius R. The inclination angle is ϑ and the static and dynamic friction coefficients between cylinder and plane are μs, μd , and the...

The title does not say much. But my actual question is as follows. Let us suppose a line ax+by=0. This means A.B = 0 with A and B being vectors, where A = [a,b] and B = [x,y]. Therefore, A is perpendicular to B. Now my question is if A is also perpendicular to line ax+by=0 (I'm not sure if this...

Part (a) is easy to do by setting up a triple integral, but for part (b), I was a bit confused by the diagram provided by the solutions manual: Why is the spherical wedge (shaded) graphed on the z-y axis? In the most general case, shouldn't the two lines that form angle $\phi_1$ and $\phi_2$...

Homework Statement A force P is applied to the rod which rests on a horizontal table. The following accelerations are produced. aA= 3.6m/s2 to the right, α of the rod = 6 rad/s2 CCW. Determine the acceleration of point G and B Homework Equations aG=aA+aG/A aG=aA+[(aG/A)tangential +...

Hello, I made traces for the equation, x+y+z=0, but they don't seem to connect in an intuitive way as other equations do. For instance, even with x+y+z=1, I can make traces where the 3 lines connect to make a triangle in the first/positive quadrant. But x+y+z=0 has traces that all run through...

While deriving formulas/describing motion on an inclined plane, why don't we take into account the shape of the object undergoing motion? e.g. 1. If I take an inclined plane and place a ball on it, only a small amount of inclination would make the ball move down the plane... But... 2. If a...

Can anyone explain this ? A plane is flying overhead and casting a shadow on the court. How can this shadow move backwards given we know the plane is not flying backwards ?? http://tinyurl.com/planeflyingckwards

Homework Statement 560 nm light is collimated and passes as a parallel beam in a direction perpendicular to the ##x+y+z=0## plane. It is polarized parallel to the ##(y-z)## plane. Treating it as a plane wave, what are the real E and B fields? Intensity of the beam is ##1 \ mW/cm^2##. Make...

Homework Statement Find a unit normal to the plane containing a and b. a=(3;-1; 2) and b=(1; 3;-2) Homework Equations \frac{V}{|V|} where V = a+b The Attempt at a Solution (3;-1; 2) +1; 3;-2)=(4,2,0)=V |V| = \sqrt{4^2+2^} = 2\sqrt{5} there fore the unit vector is (\frac{2}{\sqrt{5}}...

Homework Statement http://i.imgur.com/Osn6pKO.png 2m long Inclined plane. Height at top of the ramp is 6.1cm We are given distances of 0.5, 1, 1.5 2.0m and their times (close to 2.5s, 3.5s ,4.25, 5s). Need to calculate g. Homework Equations d=1/2at^2 g=a/(sinθ/(1+I/mr^2)) (where...

Homework Statement A block with a mass of 100kg is being pulled with a force P in and effort to move it down the ramp. The ramp makes a 20 degree with the horizontal ground. The coefficient of the friction between the ramp and the block is 0.7. Find the frictional force and the horizontal...

We know that silicon has a FCC lattice with basis at [0,0,0] and [1/4,1/4,1/4]. The structure factor is S_{(hkl)} = \left[1 + e^{i\pi(h+k)} + e^{i\pi(l+k)} + e^{i\pi(h+l)} \right] \left[ 1+e^{i\frac{\pi}{2}(h+k+l)} \right] which should be zero for (222) plane. But measuring it carefully...

Homework Statement Homework EquationsThe Attempt at a Solution a) I know that I am allowed to separate variables, such that ##\psi (r, \theta) = R(r) \Theta(\theta)##, but the part with the exponential is yet to be seen. So I put it into the Hamiltonian, $$H = - \frac {\hbar^{2}}{2 \mu}...

I have 2 objects: Obj1 have a Velocity of vel1 and position of (x1, y1) Obj2 have a Velocity of vel2 and position of (x2, y2) Using time = distance / velocity knowing that they will collide.. can I assume distance1 / vel1 = distance2 / vel2 ? distance formula = sqrt((x - x1^2) + (y - y1^2)) Can...

Hey everybody, I went through a discussion with a colleague today about Finite element modeling of composite structures and how to interpret the stress analysis. I understand that for isotropic materials, principal stresses could be used against the allowable stresses to see if failure will...

Homework Statement Given an inclined angle of θ = 30° and 10m long. The coefficient of friction is 0,1 and the mas of the block is 1kg. a) Find the velocity needed for the block to climb the plane and its velocity be 0 in the top. b) Find the time it took to reach the top. c) Find the speed of...

Hi! Assume paraxial rays. If I have a lens with a focal length ##f## and I place an object at the focal length to the left of the lens, the image will be at infinity. Correct? But will it be imaged in infinity to the left or right of the lens? If I am looking into the lens from the right I...

Hi guys, I've been reading a bit and watching a few youtube videos on electric aircraft, but have come across little to do with supersonic aircraft. As far as I understand it an electric aircraft would use basically fans to push air behind it and as such generate thrust. The problem would be...

Hi. As a teacher I know that many of my students find it difficult to understand the inclined plane and the forces involved. So I decided to create a simulation using geogebra. I uploaded a video to Youtube showing how the simulation works: The simulation is free to download if you want to...

Problem: Given $W = \{z: z=x+iy, \ y>0\}$ and $g(z) = e^{2 \pi i z},$ what does the set $g(W)$ look like, and is it simply connected? Attempt: $W$ represents the upper-half complex plane. And $$g(z) = e^{2 \pi i (x+iy)} = \cdots = e^{-2\pi y}(\cos (2 \pi x) + i \sin (2 \pi x)).$$ (Am I on the...

Homework Statement I have two conceptual questions that I have written in read in my solution. The solution, and all the work, is correct. However there are two things that I am unsure as to why I am doing it. Thanks! Homework Equations Included in solution, although none should be needed as...

I've been reading about how much of a sphere actually touches a flat plane (spheres are very interesting things, it turns out!). Mathematically, a perfect sphere has only one point of contact, meaning that the area of this contact is infinitely small(?), but as physicists, we know that there...

Can someone please help me with how to approach/solve this question? construct a plane that is tangent to both curves at the point of intersection. 1st curve: x(v)=3 y(v)=4 z(v)=v 0<v<2 2nd curve: x(u)=3+sin(u) y(u)=4−u z(u)=1−u −1<u<1 My first approach was to find a point of intersection...

I am going to hold a lecture on aerodynamics for a group of high school students, after which a competition on constructing the best glider is held. I think the planes will be made of sheets of balsa wood, and they are therefore likely to have flat wings. To help them succeed, I plan on telling...

I am trying to calculate the necessary amount of power (watts) for a RC plane to hover or to move vertically up. The electro engine has an efficiency of 80% and the propeller efficiency is 50%. The plane weight is around 1 kg.

In a recent Physics lab, I experimented with the magnetic field generated by two Helmholts coils. I used a Hall probe, and some software created by the Grad students to plot the field strength against probe position in a series of configurations. I understood almost all of the lab, I...

Homework Statement In plane parallel plate the refractive index is a function of coordinate ##z##, so that ##n=n_0 -{n}'z^2## for ##{n}'>0##. The origin of the coordinate system is in the middle of the layer, and ##z## is parallel to the normal of the layer. In paraxial approximation calculate...

Hi guys I am trying too find a formula to figure out how I would find the acceleration of a block on an incline plane IF that plane itself were accelerating in the +Y direction. I am not even sure which frame of reference to use since the acceleration is in 2 dimensions. This hinders me from...

Homework Statement Find the acceleration of the system if the mass m1 is a disk with radius R rolling down an incline which makes an angle theta with the horizontal, and the disk is connected to a pulley with mass M and radius R, which is connected to a block m2 hanging from that pulley. The...

Hello what'a difference between tem wave and plane wave? I think in tem is the same as plane wave but it's electromagnetic amplitude decrease ,is it right?if yes how does amplitude decrease?

When one substitutes the angle -23.7 into the plane stress transformation equation for SigmaX' you indeed get -46.42 MPa (as shown in the images). However, if you substitute this same angle into the plane stress transformation equation for SigmaY', you yield the other principal stress of 116.4...

Homework Statement Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time...

Homework Statement A block of mass m = 4 kg, is held at rest on a spring (point A), spring constant k = 500 N / m, compressed by a distance AB = .DELTA.L as shown in Figure 3. When the block is freed , it reaches the point B ( non-deformed position of the spring ) with a velocity of VB = 5 m /...

Homework Statement Problem 1: A block of mass m = 15 kg from rest on an incline of 20 °. It is assumed that static and dynamic friction coefficients are respectively μs =0.4 and μk = 0.2. a force P is then applied (P = 30 N) on the block as shown in Figure 1 . a) Will the block slide? (...

Homework Statement A 10 kg mass is on a frictionless inclined plane 30 degrees to the horizontal. At the top of the plane is a pulley that has a rope attached to mass with tension T = 75 N. If the mass starts from rest, what is its velocity after 2 seconds? Homework Equations F = ma Vf=Vi +...