Deflection Definition and 530 Threads

Hi, I am trying to understand the difference between GR and classical deflection of light by the Sun.I found this I do not now how to apply a 'weight sin3' so I worked out my own equation in which; R = 2.5c (7.5*10^10 cm) point of impact, x distance of light from R in light-seconds, r...

Homework Statement No specific problem. Homework Equations 1/ρ=M(x)/EI Internal Work = External Work δ = ∂U/∂P The Attempt at a Solution N/A ----------------- So I have a question about solving for deflections in various structural members, frames and trusses. So...

Homework Statement A child's hoop of mass M and radius b rolls in a straight line with velocity v. Its top is given a light tap with a stick at right angles to the direction of motion. The Impulse of the blow is I. a. Show that this results in a deflection of the line of rolling by angle...

Both the Newtonian theory on gravitation and the General theory of Relativity predict a change in the direction of a beam of light as it propagates past a large mass. Regardless of the precision of the Δ velocity component (the component that can represent the vertical shift towards a mass), If...

Homework Statement Find the initial wavelength of a photon that loses half its energy when it Compton-scatters from an electron and emerges at 90∘ to its initial direction of motion. The Attempt at a Solution Ei = Ef +KE Ei = 0.5Ei + KE Using compton's formula for scattering...

Hello you clever people, I'm having a bit of a logical problem with the deflection of a simple uniform cantilever beam loaded with a downward force on the free end. My intuition is that the beam would do something like this: But most literature, and my mechanics of solids course at uni...

Homework Statement The scientist changes the frequency of the incident X-ray to 4.50 x 10^19 Hz and measures the deflected X ray frequency of 4.32 x 10^19 Hz. What was the angle of deflection? Fi = 4.50 x 10^19 Hz Ff = 4.32 x 10^19 Hz 2. Homework Equations Δλ = λf - λi Δλ =...

Light is deflected in a gravitational field and this effect has been measured empirically, confirming the predictions of GR. Gravity is also deflected in a gravitational field according to GR, the geodesics for light and gravity being the same, but has any deflection of gravity ever been...

Analysis of scoop stretcher -- deflection and bending stress help I wanted to do a theoritical force analysis on the scooping part of scoop stretcher (a tapered rectangular plate). Can anyone suggest how to determine its deflection and bending stress ?

Homework Statement A parallel-plate capacitor has 4.0cm × 4.0cm electrodes with surface charge densities ±1.0×10^−6C/m2. A proton traveling parallel to the electrodes at 2.0×10^6m/s enters the center of the gap between them. Part A By what distance has the proton been deflected sideways when...

Hi guys, I have been a question to solve this week to do with deflections and slopes at the free end of a cantilever beam. I have calculated the deflection and slope for the point load and UDL, but I'm not sure whether to add them together or not?.. as they're both acting on the beam? A...

I was wondering how you would derive the moment and elastic curve equations for an incomplete triangular load. Say you have a pin at the left end of the beam and a roller at L/2 from the left, and a triangular load that goes from the pin and ends at the roller. I know you have to do some kind of...

Hello. I'm looking for the deflections of a 1.938" dia. steel shaft at different lengths. Supported in bearings at both ends. 150lbs. per foot of length, with all of the weight in the center of the rod. I.E. how much does the rod deflect of there is 450lbs. pushing down between 36"... I'm...

Homework Statement In the cathode-ray tube, electrons having a mass m are emitted from a source point S and begin to travel horizontally with an initial velocity v0. While passing between the grid plates a distance l, they are subjected to a vertical force having a magnitude eV/w, where e is...

Hi, And thank you for your time! :) I've been studying and coding for more than a month on a physics engine for car driving simulation. Right now, I'm trying to change the whole tire model currently based on Pacejka for a more advanced one. After quite a lot of reading on the topic, I decided...

Homework Statement A proton enters the gap between a pair of metal plates (an electrostatic separator) that produces a uniform, vertical electric field between them. Ignore the effect of gravity on the proton. a) Assuming that the length of the plates is 11.1cm , and that the proton will...

Homework Statement Find the deflection at x=L/4 and x=L/2 for the beam Homework Equations See attached pic. The Attempt at a Solution So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the...

Hi, I'd very much like to know how to calculate deflection of a beam by integrating when flexural rigidity EI is not constant. I tried finding an example on the internet but couldn't find any. Can anyone provide me with one? The problem is driving me nuts.

I just started my Mechanisms and dynamics class today for engineering. We already got the first assignment that's due in a day or so. The assignment consists of only 3 questions but first one is totally confusing me and I don't know what to do about it. I emailed the instructor 10 hours ago and...

Homework Statement You're sailing at 6.5ms^-1 when a wind gust hits, lasting 6.3s accelerating your board at 0.48ms^-2 at 35° to your original direction. Find the magnitude and direction of your displacement during the gust.The Attempt at a Solution Attached is the magnitude of the...

I am struggling to remember how to determine the allowable delta max for a beam. I am currently modeling the bending forces upon a piece of square tubing, and though developing delta max seems rather straight forward, I can not seem to remeber how to determine just how much deflection I am...

I was told in a meeting, in passing, not to pay any attention to the deflection results that come out of a free vibration problem. Can someone clarify why or point me to a good resource where I can inform myself? Thanks, KC

if thermo couple ammeter full scale deflection is 10 Amp, for 1/5 th scale what is the Reading?

For this problem, I think that something is wrong with my moment equation, I am not sue how to find the loading as a function of x for this triangle shape. Do I need to account for the sections 0 < x < L/2 and L/2 < x < L??

Homework Statement A. determine the deflection at point A in the X and Y direction. B. determine the maximum normal stress in the beam C. determine the maximum shear stress in the beam Homework Equations δ=(PL/EA) (possibly?) δt=αΔτL d2v/dx2 = M/EI dM/dx = V δab=δx*cosθ +...

Hi First Post so go easy. I am teaching a programming course for kids between 10-14. We are using scratch which is a sprite animator. We are trying to make a breakout game (you know the one where you break block with a ball) We have a ball sprite that we can easily bounce around the...

Homework Statement Will the following thin steel plate plasticly deform due to its own weight, what is the maximum deflection of the plate? Plate dimensions 0.25 cm thickness, 3.0 m length, 3.0 m width. The plate is supported on two ends, by a wall (welded). Homework Equations σ =...

I'm having a bit of an issue with the deflection of a beam column. I've attached an image to show the problem. Please note the following: - Assume the beams and column are both circular hollow sections of diameter 76.1mm. Wall thickness 5mm. - The joint of the beam and column can be...

Homework Statement How do I find an expression for the deflection at midspan for a cantilever beam loaded with a uniformly distributed load? Illustration of beam: http://goo.gl/3SxeVZ Homework Equations \delta = \frac{Qx^2}{24EI}(6L^2-4Lx+x^2) The Attempt at a Solution Attempt at...

Homework Statement How do I find an expression for the deflection at midspan of this beam? The beam is simply supported and there is two triangular loads on each side of the beam. Illustration of problem: http://goo.gl/gk68Fl Homework Equations Deflection = \Delta = \int \frac{Mx*mx}{EI}...

Homework Statement The sample question explains how I can use superposition to determine the slope and deflection of the beam. I have made a picture of the page. I know how to use the method as I've used it on other, much difficult problems. However, this sample problem has been stuck in my...

How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx). The module of elasticity and area moment of inertia is given. Relevant equations: 1...

How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx).

Hi, As part of a larger hobby project, I'm building a microgram balance based on the one described at Sci-Toys.com, but I believe my questions are appropriate for the "general physics" forum. Background: I purchased a 36" threaded steel rod, connected it to a razor, and then put it on a...

1.How do i derive the stiffness matrix for a beam with nodal linkage? ie the shear force at the first node is 0 but the usual shear and moment resistance is present for the second node. I thouth about solving the problem by just putting the first row of the stiffness matrix as 0 . Am i...

Homework Statement A beam is built in at its end supports A and B, and is subject to a mid-span point load F. Using the method of successive integration, determine an expression for the deflection of this beam. Calculate the maximum deflection. Ignore any axial load effects. Homework...

Homework Statement Find the deflection angle of the particle if it is scattered by this central field. $$ U = \frac{α - β r - γ r^2}{r^2} $$ Homework Equations Angle of deflection is given by: $$θ = ∫ \frac{Mdr}{r^2\sqrt{2m(E-U) - \frac{M^2}{r^2}}}$$ The Attempt at a Solution...

Hi guys, I just wanted a quick sense check. I have uploaded two images; one showing basic free body diagram, one showing some quick scoping calculations. My question is, to do a simple deflection calc on the box section legs of the frame, do I just use two multiples of my second moment of...

Homework Statement FIND MAXIMUM DEFLECTION AND ITS LOCATION (PLEASE SEE THE FIGURE)... THANKS Homework Equations The Attempt at a Solution

Homework Statement A fluxmeter is a device sometimes used for measuring magnetic fields. It is a suspended coil instrument in which the suspension has virtually no restoring twist. The instrument is used in series with a search coil which is removed from or rotated in the field to be measured...

this is a problem in the topic of Concavity and the second Derivative Test The deflection D of a beam of length L is D=2x^4-5Lx^3+3L^2x^2, where x is the distance from one end of the beam. Find the value of x that yields the maximum deflection The answer to this is...

Hi: In mechanics of materials. I learned that the deflection of a beam can be characterized by its elastic curve which is the deformed neutral axis. But I am bothered by the fact that, if two end of a beam is fixed, and the elastic curve is continuous in between, then it must mean...

Homework Statement In a project in a summer engineering class I'm taking, I have been tasked with finding Young's Modulus with three different diameters of spaghetti: Thin (1.41 mm), Normal (1.73 mm), and Thick (1.89 mm). Although this is my first time ever attempting to try engineering...

I need help comparing the deflection of pipe with two different cases. Case 1 is a regular non-tapering pipe. The case 2 is a tapered pipe that should deflect less than the straight pipe. I am working in MathCad and can change the value of my variables, so I have set the two cases to be equal...

Homework Statement In a scanning electron microscope, a 0.3 keV electron beam, collimated by an aperture of width ∆xi, is directed towards a target 1 m away from the aperture. Assuming a field-free region from aperture to target, the uncertainty ∆xf in the transverse coordinate of the...

Problem Description: A hiker is reading a compass under an overhead transmission line that is 5.1m above the ground and carries a current of 807A in a horizontal direction from North to South. Assume the Earth's field is of the order 0.5*10^-4T. A) Determine the magnitude of the field produced...

Hi, I am designing an inflatable balloon (long and thin like those used to make balloon animals) with a purpose to support a force in a manner like a cantilever. I am struggling to find literature/assistance regarding the calculations required to determine balloon deflection under a standard...

I should be able to calculate the MOE and MOR after a four point Bending test in lumber wood. I have all the data for develop a plot load versus deflection. The data provided was: load, cylinder, string and bridge. I have been doing the plot using the bridge as deflection, but I didn´t get the...

Hi to all. I need to calculate the deflection at D. At point D, there is a force of 245N acting on it. If I know the cross sectional areas of all beams, is it possible to use energy method to calculate the deflection?

Homework Statement Describe by pointform how to find potential difference between parallel deflection plates, ΔV₂ = ? You don't have to solve. ΔV1 = 1.38 kV Δx = 5 cm Δy = 0.49 cm r = 5.2 cm q = 1.6 x 10^-19 C m = 9.11 x 10^-31 kg k = 9 x 10^9 Nm^2/C^2 Homework Equations ε = ΔV/d W = ΔEe =...