Displacement Definition and 999 Threads

why is angular displacement considered an axial vector only for small values?

Hey I am kinda new here. :D please help me with this. it's really easy but I can't answer it. HAHAHA a coin is thrown down into a well with an initial speed of 3m/s. The coin hits the bottom 2 seconds later. 1. How deep is the well? 2. What is the coin's speed as it hits the ground...

Homework Statement In wandering, a grizzly bear makes a displacement of 1563m due west, followed by a displacement of 3348m in a direction 32 degrees NW. What are the (a) the magnitude and (b) the direction of the displacement needed for the bear to return to its starting point? Specify the...

Hello, I am a new user both in Ansys and in the forum and I am sorry if my question is silly, but I cannot find the solution by myself. I am using Ansys Workbench v.12 static structural in order to find the displacement of various parts of a robotic arm, that are caused by different loads...

Homework Statement A cap on a steel pin has a mass of m=500g and the pin has an angle of 50 degrees from the horizontal plane. The kinetic friction coefficient between the steel pin and the cap that glides down is uk=0,1. There is a spring at the bottom of the steel pin with spring konstant...

Considering simple projectile motion, would the effect of air resistance cause the angle for maximum horizontal displacement to change? Would the maximum angle then be greater or less than 45 degrees? Just a conceptual question, don't really need equations (though wouldn't mind either).

Homework Statement I'm having trouble understanding the relationship between pressure, speed, and displacement to answer the following question correctly: While you are stopped at an intersection turn lane, a large truck zooms by, just a few feet from your car. As the truck passes, your car...

I have been going through my equations and writing them up on the computer so I can refer to that when needed and have go to angular acceleration, velocity and displacement equations yet I don't have very many equations for those topics and I wondered if anyone had some equations for finding...

A speaker is generating waves in a gas that is closed in a tube. The tubes closed end is at x=0 and the speaker is at x=1. The motion of the membrane is given by s=s_0 \cdot sin(\omega t) How does the particle displacement vary with x and t? The wavelength is \lambdaI do not know how to solve...

Homework Statement Determine the displacement of this particle from t=1s to t=3s r=-(5,0m/s)t i + (10,0m/s^2)t^2 j + (7,0m -(2,0m/s^3)t^3) k Homework Equations The Attempt at a Solution I don't have an idea how to do this if I should to it by replacing t by 1 and then...

When I was doing my assignment, I need to proof the Wien's Law. The question given frequency dependent energy density function. So differentiate it respect to frequency v. Equate it with zero, and solve. i solved the value a=2.82144 = hv/KT=hc/(lambda)KT, i cannot get a correct value for the...

I have this example from my physics books which says: If a skater pushes against the wall and the skater moves, the wall does no work and the motion of the skater only results from the internal work of the skater. It also says that the wall does no work because there is no motion of its point...

Homework Statement My question is what is the displacement of a spring if the spring is stretched by two forces, each acting on an end of it? I've looked on the internet but I've only found examples where the spring is attached to a ceiling. Are there two restoring forces acting from...

I am confused about an electron ( or any negative charge) moving in a uniform E field. If the electron moves in the opposite direction of the electric field, and the E field points in the direction of greatest decrease in potential, then it seems like the electron is moving in the direction of...

Dear all, in self diffusion theory you can see in different books, different definitions of the mean square displacement: <r(t)^2> = \frac{1}{N} \int d\vec{r} \ \vec{r}(t)^2 c( \vec{r} ,t) where c(r,t) is the particle concentration and N the number of particles. or <r(t)^2> =...

Hi, I just learned my first equation today in SHM: x = xo cos (ω * t) Firstly, is it ok if I change the "x =" part for a "y="? I get a bit confused since, from what I understand, we want to find the vertical distance from the x-axis and that would be the y output of a function. (x makes...

Homework Statement I know this is basic but I'm stumped Homework Equations a runner runs 6.5 laps around a 400m track, what's the displacement. I thought it would be 200m but the answer provided says 160m and I just can't work out how to get to this answer The Attempt at a Solution

Hello I want to measure the lateral acceleration at the center of gravity of a vehicle. I cannot place the accelerometer here since I cannot mount it properly so I have placed it 75 cm to the left of the CG. The longitudinal and and vertical placement is approximately correct. It there som...

Homework Statement At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.2 m/s2. At the same instant a truck, traveling with a constant speed of 8.6 m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the...

A mass of 0.1 kg connected to a spring with a spring constant 10 N/M oscillates horizontally on frictionless table. The speed of the mass is 3.0 m/s when the displacement is 0.2 m form its equilibrium position. What is the maximum displacement from equilibrium of the mass as it oscillates...

Homework Statement A particle has an initial velocity of 9m/s due east and a constant acceleration of 2 m/s2 due west. The distance covered by the particle in the fifth second of its motion is? The Attempt at a Solution Using the formula for the displacement in the nth second, Sn = u...

Homework Statement The figure attached shows the meter used to study the motion yB = bsinωt. The motion of the mass relative to the frame is recorded on the drum. If l1= 360 mm, l2= 480 mm, l3= 600 mm, m = 0.9 kg, c = 1.4 Ns/m and ω = 10 rad/s, Determine the range of the spring...

Homework Statement A 6 cylinder engine has cylinders wirh a bore of 115mm and a stroke of 145mm Each cylinder also has a clearance volume of 300 cubic centimeter. This engine operates on a four stroke ideal otto cycle and at 3000 rpm. The temperature and pressure of the intake air is 25...

Ok, I have a question I have been wondering about. If you have a tube and insert one fan into it. The fan turns to create a certain air displacement. If you put 2, or 3 etc. fans into the tube spinning at the same speed, would it displace more air? or would each fan simply move the air...

Lets say I have a beam with a cross section made of half aluminium and half steel glued together. I would like to know how to calculate the deflection of this beam due to bending moment but I am unsure of how to use the virtual work equation to accomplish this. Should I use a different...

Homework Statement For copper we find that J=\sigmaE , where \sigma has the value 5.8x10^7 mksc units. If an alternating electric field represented by E0ei\omegat exists within the copper. Find the ratio of the conduction to the displacement current density at a frequency of 1megacycle/sec...

I was doing a FEA Stress Analysis of an Alum (6063 T6) part and set the Ultimate and Yield Strength of the material lower to model the behavior at 150 degress C. The displacement (movement) of the model was exactly the same for relatively small forces. The force was 110 N and the Ultimate...

Homework Statement A particle is displaced by 10m along a direction joining 2 points having coordinates A(2,3,4) and B(-4,-5,3).Find the displacement vector if the time of the motion is 2.5 seconds.Find avg. velocity of this particle. Homework Equations vector AB = (x2-x1)i + (y2-y1)j...

hi i have a question concerning free energy in the attached file you can see 3 rods. think of them as 3 parallel forces, that attract each other by a force F. the force is some arbitrary force of the form: F=a/r^6 where a is a real parameter now imagine that caused by fluctuations(e.g...

if a ball is thrown and caught at the same height with constant horizontal velocity and no vertical displacement is its initial and final velocity the same? since v2y^2=v1y^2+2aDy, no displacement means final vertical velocity will be the same as initial, since v2x=v1x, horizontal velocity...

Homework Statement A 230 kg crate hangs from the end of a rope of length L = 12.0 m. You push horizontally on the crate with a varying force to move it distance d = 4.00 m to the side (Fig. 7-43). (a) What is the magnitude of when the crate is in this final position? Figure...

Homework Statement I'm a bit confused by a question asking me to work out the power of a bike traveling up an inclined plane with a constant speed. I have the mass and friction and the speed but no displacement so I don't know how I could work out power if to find the work I need to factor...

Homework Statement Question 1 (a) The displacement of a transverse wave on a string is described by: y(x, t) = 0.01 sin(4x + 200t + \pi), where all quantities are expressed in SI units. i) Determine values (with appropriate units) for the period, wavelength, and phase velocity of the wave...

Suppose the dielectric material is fixed in position and filling the capacitor, and you would have this term in the way of calculating something. \int\nabla\cdot\left[\left(\Delta{D}\right){V}\right]{d}\tau where D is the dielectric displacement Now that turns into (by divergence...

Homework Statement An electron with a speed of 1.9 × 107 m/s moves horizontally into a region where a constant vertical force of 4.3 × 10-16 N acts on it. The mass of the electron is 9.11 × 10-31 kg. Determine the vertical distance the electron is deflected during the time it has moved 34 mm...

Homework Statement An inclined plane of angle θ = 20.0° has a spring of force constant k = 460 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.55 kg is placed on the plane at a distance d = 0.288 m from the...

Hey, I have a very easy problem. A dancer completes 2.2 revolutions in a pirouette. What is her angular displacement? here's my work. Given: 2.2 revolutions. Battle Plan: Find angular position in radians. Subtract final position with the initial position. Outcome: 2.2 x 2pi = 4.4 pi...

Hi I have already solved the problem. I just have some doubts about the solution given in the solution manual. This is "Physics for scientists and engineers" by Serway, Jewett In the solution for part b) , the author has taken the area of whole Amperian loop while calculating the electric...

Homework Statement Amadeus pushes horizontally on a desk that rests on a rough wooden floor. The coefficient of static friction between the desk and the floor is 0.800 and the coefficient of kinetic friction is 0.620. The desk has a mass of 94.0 kg. He pushes just hard enough to barely get the...

Homework Statement Amadeus pushes horizontally on a desk that rests on a rough wooden floor. The coefficient of static friction between the desk and the floor is 0.800 and the coefficient of kinetic friction is 0.620. The desk has a mass of 94.0 kg. He pushes just hard enough to barely...

Homework Statement In the above problem, Amadeus pushed horizontally on a desk that rests on a rough wooden floor. The coefficient of static friction between the desk and the floor is 0.800 and the coefficient of kinetic friction is 0.620. The desk has a mass of 94.0 kg. He pushes just hard...

Homework Statement An orienteer runs 5km east, 4 km south and 1km west. If she completed the course in exactly 1 hour, calculate her displacement from the start. Homework Equations There were questions before it I've already answered but I am not sure if I can do this question through...

Homework Statement The 30mm diameter A-36 steel rod (E=200x10^9 Pa) is subjected to the loading shown. Determine the displacement of end A with respect to end C. (see attached picture) Homework Equations \delta = \frac{PL}{EA} (eq. 1) where delta is the deflection, P is the internal...

Homework Statement Andrew is driving his van to deliver groceries in Elmvale. As he travels along Hwy 92, a fox stops on the road. Andrew is traveling at 75 km/h [North] and is 42 m away from the fox when he applies his brakes. It takes him 3.4 s to stop. a) How far did Andrew travel...

Dear All, I have trouble to understand the calculation of phonon using small displacement method. I found people said the limitation of this method was that it requires the wave vector k orthogonal to the supercell size(?). Does it mean the wave vector is not any you want? why? I got really...

So I have been trying to figure out how much an object is displaced when subjected to certain frequencies. If I know the modal frequency and max displacement at modal frequency can I find displacement at any frequency? I was thinking maybe using ratios you could do the following, modal...

There is an attached image I couldn't figure out how to make it in the post. The attempt at a solution a) So I know that the direction of the velocity vector will be in the direction on the displacement vector from P to Q: 2i+5j+3k I also know that the magnitude of the velocity vector is...

Homework Statement Suppose we have a uniformly polarized sphere of radius R. The polarization vector is \mathbf{P}. Goal: To find the electric field everywhere. Homework Equations I know the actual solution already. It should be \mathbf{E} = \frac{-1}{3 \epsilon_0} \mathbf{P} The Attempt...

The A-36 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is 50 mm^2, determine the displacement of C. Neglect the size of the couplings at B, C, and D. Please help, I don't have any idea how to begin. I can't seem to sum the forces right.

Homework Statement A car is driven east for a distance of 48 km, then north for 26 km, and then in a direction 30° east of north for 28 km. Draw the vector diagram and determine the total displacement of the car from its starting point and its direction. Homework Equations im not...