Displacement Definition and 999 Threads

Homework Statement - The force acting on a particle m = 3kg is given by the following force equation: F = (v/9)(3 - x2), the particle begins at a position of x = 1m with a speed of v = 0 m/s at time t = 0s. Find the displacement of the particle at time t = 5 s. Homework Equations F =...

Homework Statement Hi guys, I am working through a very long problem and I am stuck at this part. So I have a 70kg human being launched at a 90 degree angle at 15mph. I need to figure out how high in the air he will get before velocity reaches zero again and he begins to fall. Homework...

I know that work is the "dot product" of force and displacement, but I got a little stuck with this problem: "Vera is driving her 1000-kg car at a speed of 8m/s. When Vera slams on the brakes, the ground exerts an 8000-N frictional force to bring the car to a stop. Determine the initial kinetic...

Homework Statement Jack and Jill are maneuvering a 3570kg boat near a dock. Initially the boat's position is https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png2,0,9https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.pngm and its speed is...

The question is `For the same time interval , how did the area beneath the velocity-time graph compare with the displacement of the cart? How should it compare?` I don't understand what they`re asking me to do, please help.

Hi everybody, I'm writing an exploration on the mathematics of simple harmonic motion and I stumbled across something I fail to understand in one of my resources (http://tutorial.math.lamar.edu/Classes/DE/Vibrations.aspx). In the example the author uses toward the end of the resource, the...

Homework Statement Coverting Cord length to radians and the other problem is: A ball Radius = 12 CM, rolls 15 M, across the gym floor. Through what angle does the ball rotate? We just started this today and I am very confused by it. the other question is converting 11.6 CM Chord Length into...

Homework Statement In the pictures. Homework Equations KE = 1/2mv^2. PE = 1/2kx^2 Work external = Delta KE + Delta PE W = F* dThe Attempt at a Solution In the pictures.Comments: On Problem 3 ai, I am not sure whether I have identified the correct horizontal forces. The hint gave two, but I...

Homework Statement Lorraine steered her boat out of the harbor, heading east. She traveled 500 m to one buoy and then turned north and headed 300 m to another buoy. Jeff also left the harbor from the same point, and traveled 300 m [N] to a buoy, and then went 500 m [E]. a) What is the position...

Homework Statement a puck on the ice travels 20.0 m [5.0 degrees E of N], gets deflected, and travels 30.0 m [35.0° N of W]. Determine where the puck will end up with respect to its starting point, e.g., the puck's total displacement Homework Equations c^2=a^2+b^2-2abcosC The Attempt at a...

Homework Statement A frictionless pulley has the shape of a uniform solid disk of mass 5.00 kg and radius 28.0 cm . A 1.40 kg stone is attached to a very light wire that is wrapped around the rim of the pulley, and the stone is released from rest. As it falls down, the wire unwinds without...

1.)Hey everyone! I am having some trouble with a problem and hoped someone might be able to steer me in the right direction! The problem states , A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for...

Homework Statement A car enters the freeway with a speed of 6.4 m/s and accelerates uniformly for 3.2 km in 3.5 minutes. How fast in m/s is the car moving after this time? Homework Equations DeltaX=1/2(vi+vf)(DeltaT) Displacement=1/2(initial velocity + final velocity)(Time interval) The...

Homework Statement A man runs at a speed of 4.0 m/s to catch a standing bus. When his distance to the door is 6.0 m, the bus starts moving forward and continues with a constant acceleration of 1.2 m/s2. 1. How many seconds does it take for the man to reach the door ? 2. If at the beginning he...

Here is the picture for you to understand it better. Please help me calculate the velocity required for the ball. I have already tried it with the formula: displacement = initial velocity(time) + (acceleration)(time2)/2 but cannot since I do not know the initial velocity and the time Please...

Homework Statement The shape of the wave on the string at t=0 is: y=(2x)/(x^2+50) The waveform is moving in the +x direction at a propagating speed of 10cm/s. Find the displacement of the string in cm when t=5s and x=30cm Homework Equations ∂^(2)y/∂x^(2)=(1/v^2)*∂^(2)y/∂t^(2)[/B] The Attempt...

Homework Statement A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x,t) = 2.00cos(15.7x - 858t) where s is in micrometers, x is in meters, and t is in seconds. Find a) the amplitude, b) the wavelength, and c) the speed of this wave. D)...

Is displacement current always equals to conduction current?if not then can anyone give me an example for it?if yes,then can anyone prove it?

This is strictly a geometric question from Lemaitre's writing. He is presenting an example of a closed space represented as a sphere (I'm assuming the surface only?), and makes a "displacement" of the sphere to demonstrate a point. I am not following his operation on the sphere based on any of...

Hey, I've spent ages trying to solve what seems to be a pretty simple geometrical problem and I was wondering if anyone could help me solve it/give me some tips. I am trying to model how the suspension of a car behaves as a result of a displacement of the wheels. What the attachment shows is a...

Homework Statement A dog accelerates from 2.0 m/sec to 5.0 m/sec while covering a distance of 14.0 m. How long did this take Homework Equations d=(Vi+Vf/2)t The Attempt at a Solution 2(-Vi-Vf)d=t I am doing something wrong. Please help. Thanks[/B]

I guess i have discovered or i may say re-discovered if already existing a formula for the resistance offered to the displacement current in capacitors. I am not talking about the capacitive reactance but, a resistance which depends on time, area and further more calculations. What shall i do...

Hi all, So A quick question for all the smart minds out there to ponder (plus I'm stumped and need help). I'm helping a friend out with a short film and we are trying to be cost efficient. I need to submerge a 2000L plastic tank (circular and approx 1.5 high) and then release it to make it...

derivation of wiens displacement law and wiens distribution law from thermodynamic principle.but not from Plancks law

Hello. I'm new to the forums. I apologize if I have posted this in the wrong topic area. I'm new to this hydrodynamics area and I'm trying to learn the concepts of boundary layer thicknesses. My question is about laminar pipe flow and calculating displacement and momentum thicknesses. I was...

What force did the child exert if he got to the top of the slide by climbing up the 10 meter long side of the slide...

Hi I am tackling a question which combines Beam deflection with Bending Virtual Load. I am wondering whether the displacement found at a point through complementary energy (virtual load) is the same an the deflection through beam integration at that same point? It maybe a stupid question but...

Homework Statement A car travels 14.6 km west at a speed of 40 km/h, then travels 12.0 km south at a speed of 50 km/h and finally travels 19.0 km east at a speed of 45 km/h. What is the magnitude of the average velocity for the car over the entire trip? Homework Equations 3 kinematics...

Hi PF I read the definition of the displacement operator: ##D(\lambda) = e^{\lambda a^\dagger - \lambda ^* a}## but i did not find how this operator can be implemented say in a cavity with a photonic state inside. Could you give me links? thanks.

Hi, I'm new here and I'm having trouble with a question. 1. Homework Statement A 20.0-kg curling stone is released at the hog line and moves 28.35 m [W] to sit on the button and score a point. If the coefficient of kinetic friction between the stone and the ice is 0.00200, what was the...

I'm just starting to learn about vectors, and I was trying to figure out what the vector components mean physically. I've seen two definitions of vectors, and the first is a that a vector is something with a size and a direction. The second definition I saw defined vectors as "displacements in...

Homework Statement What would be the energy required to stretch a spring of \vec{F}spring = - (ax+βx^2)\hat{x} where\vec{x} = x*\hat{x} Homework Equations [/B] \vec{A}/|A| = \hat{A} |\vec{A}| = sqrt(A*A) A = (A^x)^2 + (A^y)^2The Attempt at a Solution [/B] So far I'm at a loss just getting...

Homework Statement Two particles oscillate in simple harmonic motion with amplitude A, about the centre of a common straight line of length 2A. Each particle has a period of 3.3 s, and their phase constants differ by π/9 rad. (Assume the lagging particle starts at +A. Also assume that the...

Homework Statement You stand at rest on one end of a 3.00m long platform (also at rest). The platform is on a smooth friction-less surface. If you walk from one end of the platform to the other at the constant rate of 2.00m/s, what is the kinetic energy of the system (you and the platform)...

How come when I do a conservation of energy up an incline the displacement is the distance up the incline, but when I do a conservation of energy from a projectile the displacement is not the resultant of the x and y displacements (instead, it's only the displacement in the y-direction)? Thank-you

In one my classes my lecturer showed us the following derivation of acceleration as a function of displacement dv/dt = v(dv/dx) = d(.5v^2)/dx I understand how to get from the first to the second part. But I'm not sure how he got from the second part to the third. Its almost like he integrated...

Homework Statement The question is as stated: "The ##H_2## molecule has oscillatory excitations. In classical physics the energy can be approximated to \begin{equation} E = \frac{p^2}{2m} + \frac{m \omega^2 x^2}{2} \end{equation}where m is the reduced mass. Quantum mechanics can be applied to...

Homework Statement 1. A structure with weight of 100 kN and which has a natural period of 1 second. Compute the stiffness of the structure. The structure has 5% critical damping. The structure when at rest is subjected to a half sine wave loading having a magnitude of 10kN and lasting 2...

Hi everyone, For one of my PhD project I am trying to calculate the minimum energy required to displace a carbon atoms with gamma rays. Knowing the displacement energy (Ed) for C in diamond (30 -40 eV), I've managed to calculate the minimum energy required using electron with the formula...

Homework Statement Homework Equations f_spring = k(x_near - x_far) The Attempt at a Solution a. FBD: The force goes through the nodes, and the sum of the forces must be 0 because the nodes are massless. Therefore, kx_1 = x(t) So x_1(t) = x(t)/k b. FBD: For this system, the parallel...

Homework Statement A torque acts on a wheel rotating at 19.8 rad/s and increases its angular speed to 23.5 rad/s in 11.2 s. Find the angle through which the wheel turns during this time. Homework Equations omega = theta/time The Attempt at a Solution 23.5 - 19.8/11.2 = .33rad/s/s --- this is...

Homework Statement "An electron moves at 24.8m/s (N37.5E) and undergoes a constant 103m/s2 (E37.5S) acceleration for 3.02s what is the displacement? Homework Equations 0.5at^2 = d d= vt The Attempt at a Solution I calculated the displacements to be 74.896m (N37.5E) and 469.7006m (E37.5S)...

Homework Statement Q.[/B] A body dropped from a height H above the ground strikes an inclined plane at a height h above the ground. As a result of the impact, the velocity of the body becomes horizontal. The body will take the maximum time to reach the ground if : (a) ##h=\frac H4## (b)...

In the diagram let the magnitude of the vector BC and OA are 'x'. I am confused with this part. Vectorially we don't say that the vector BC is ##-x##, because ##-x## is represented by OA. Then how do we represent BC? It's said a the position of a vector doesn't matter, I mean one can shift it...

In the integration of Force with respect to displacement (W=∫F.dx), is that true if the rate of change of displacement approaches to zero? My teacher said the one which approaches to zero is the rate of change of time. But If I arrange the formula, I will get F=dW/dx then F= lim Δx→0 ΔW/Δx...

Homework Statement Suppose that a car moves up north 100 km for 2 h and then turns towards east and travels in this direction 60 km for 1 h. a. Draw in the following diagram the displacement vector of the car? b. Determine the average velocity and the speed of the car. c. Answer the question...

Homework Statement Given Data: Graph, 2 kg particle.I am asked to calculate the work done from 0 to 4 meters, or some other interval. Normally I would simply multiply the FORCE of the given particle by multiplying 6m/s^2 times 2kg to create a new force vs. displacement graph, and then...

I have a little project, I am building a simple lift that is moved with cable by a 3-phase motor which has it's speed controlled by variable frequency drive. I am going to be implementing PID control into the VFD via PLC that will be based off of a distance reading from an ultrasonic sensor for...

Homework Statement How would I find the static displacement of a spring due to maximum applied force? I asking this for arbitrary equation say ##m\ddot{x} + kx = F(t)##. Homework Equations Hooke's law The Attempt at a Solution I don't know how one would do this. Would it be find the...

Homework Statement A student is rolling a baseball off the roof of their house into their backyard pool.The house is 20 feet tall, and they roll the baseball off the flat roof at speed of 3 m/s towards the pool. How long is the ball in the air and how far away is the distance the pool must be...