Question

Set up and solve the differential equation to find the flow r of an object that...

Set up and solve the differential equation to find the flow r of an object that is in a vector field F(r)=v=xi-yj, and had a starting position of (5,3).

* F, r, v, i, and j should all have vector arrows above them

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We have given the velocity vector so we will firstly write it in the general form and then by integrating we get the position vector . Since initial conditions are given so we find the position vector.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Set up a differential equation (with initial conditions!) and solve the differential equation in order to...
Set up a differential equation (with initial conditions!) and solve the differential equation in order to answer the following problem (you must also precisely explain what your variables x and y represent prior to writing down any computations). You are a police detective investigating a murder case. The first thing you must determine for this case is the time of death. Here’s what you know: The body was found at 9:00pm and its temperature at that time was 60°F. The...
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is...
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is the velocity at t=1? What is the speed at t=1? How far does the object move from 0≤t≤1? Round your answer to 2 decimal places. * r, i, j, and k should all have vector arrows above them
Given a governing differential equation for a circuit as shown below: di/dt+(R/L)*i=Vs Find the particular solution...
Given a governing differential equation for a circuit as shown below: di/dt+(R/L)*i=Vs Find the particular solution for i for this equation (i.e. i where t goes to infinity), given vS = u(t) V (u(t) is the unit step function, 0 before t=0, 1 for t=0 and beyond), for t>0, to 1% accuracy. The component values are R = 3.3 kΩ, L = 2.1 mF.
Your task will be to derive the equations describing the velocity and acceleration in a polar...
Your task will be to derive the equations describing the velocity and acceleration in a polar coordinate system and a rotating polar vector basis for an object in general 2D motion starting from a general position vector. Then use these expressions to simplify to the case of non-uniform circular motion, and finally uniform circular motion. Here's the time-dependent position vector in a Cartesian coordinate system with a Cartesian vector basis: ⃗r(t)=x (t) ̂ i+y(t) ̂ j where x(t) and y(t)...
3. Consider the region R in the first quadrant enclosed by y = x, y =...
3. Consider the region R in the first quadrant enclosed by y = x, y = x/2, and y = 5. (a) Sketch this region, making sure to identify and label all points of intersection. (b) Find the area of R, using the method of your choice. (c) Using the method of your choice, set up an integral for the volume of the solid resulting from rotating R around the y-axis. Do NOT evaluate the integral. (d) Using the method...
In a vacuum diode electrons are emitted from a hot grounded cathode (V=0) and they are...
In a vacuum diode electrons are emitted from a hot grounded cathode (V=0) and they are accelerated towards the anode at potential V0 (see Griffiths, prob.2.48). The clouds of emitted electrons build up until they reduce the electric field at the cathode to zero. From then on a steady current I flows between the plates. Let the anode and cathode be much larger than the distance d between them, so that the potential ϕ, electron density ρ and electron velocity...
1. For a stationary ball of mass m = 0.200 kg hanging from a massless string,...
1. For a stationary ball of mass m = 0.200 kg hanging from a massless string, draw arrows (click on the “Shapes” tab) showing the forces acting on the ball (lengths can be arbitrary, but get the relative lengths of each force roughly correct). For this case of zero acceleration, use Newton’s 2nd law to find the magnitude of the tension force in the string, in units of Newtons. Since we will be considering motion in the horizontal xy plane,...
- You find a smooth, spherical crystal ball of radius R = 4 cm, and you...
- You find a smooth, spherical crystal ball of radius R = 4 cm, and you wish to determine its index of refraction n. (Note, the crystal ball is transparent, made of a uniform material, and has no bubbles or defects inside.) When the sun is directly overhead, an image of the sun forms on the ground when the ball is a distance ℎ = 2.35 cm above the ground. For your work below, treat the sun as a point...
Find the position of the planet Uranus at time t D December 4, 2019, 8:00 pm...
Find the position of the planet Uranus at time t D December 4, 2019, 8:00 pm EST. You will do this by following the steps shown below. (a) Convert the time t to Universal Time (just add 5 hours to EST). (b) Find the Julian day corresponding to time t (using the result of part (a)). (c) Find the time elapsed from the epoch time to time t (i.e., find t ? T0). (d) Find the mean daily motion n...
Find & fix errors Completed: 43% (approximately) This page: up to 0.50 hours Remaining pages: up...
Find & fix errors Completed: 43% (approximately) This page: up to 0.50 hours Remaining pages: up to 3.50 hours Time frames are only a guide. You may take more or less time to complete each page. Your grading outcome (still in progess) Awarded Points Total Points Prior to this page 28 88 On this page 0 20 After this page 0 223 Total 28 331 Sage 50 Learning Centre Sage 50 Learning Center Quick reference guide Information from previous pages...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT