Question

A rectangle with coordinate system with axes x,y,z is rotating relative to an inertial frame with...

A rectangle with coordinate system with axes x,y,z is rotating relative to an inertial frame with constant angular velocity w about the z-axis. A particle of mass m moves under a force whose potential is V(x,y,z). Set up the Lagrange equations of motion in the coordinate system x,y,z. Show that their equations are the same as those in a fixed coordinate system acted on by the force -grad(V) and a force derivable from a velocity dependent potential U. Find U.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
Inertial reference frame A and inertial reference frame B have x-axes that point in the same...
Inertial reference frame A and inertial reference frame B have x-axes that point in the same direction, and reference frame A moves relative to reference frame B at a constant velocity of 0.680 c in the +x-direction. These reference frames record the times and positions of the following two events. A space transmitter is destroyed in a sudden explosion. The on-board computer on a space satellite suddenly shuts down. According to reference frame B, the computer shutdown occurred 7.51 x...
let x=u+v. y=v find dS, the a vector, and ds^2 for the u,v coordinate system and...
let x=u+v. y=v find dS, the a vector, and ds^2 for the u,v coordinate system and show that it is not an orthogonal system
One electron and two protons in a x,y coordinate system. Find a point with 0 V...
One electron and two protons in a x,y coordinate system. Find a point with 0 V of potential. Fix a coordinate and solve for the other one that gives 0 V.
Consider two events. Give an example of coordinates x,y,z,t and x’,y’,z’,t’ and relative velocity of the...
Consider two events. Give an example of coordinates x,y,z,t and x’,y’,z’,t’ and relative velocity of the two frames u, such that event 1 occurs first in the unprimed reference frame, but event 2 occurs first in the primed reference frame. The example must use special relativity and show it works using numbers not just concept
A particle with charge 1.60×10−19 C is placed on the x axis in a region where...
A particle with charge 1.60×10−19 C is placed on the x axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z direction. The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.44×10−18 J . In what direction and through what potential difference Vb−Va...
Consider the bead on a rotating circular hoop system that we saw in lecture. Recall that...
Consider the bead on a rotating circular hoop system that we saw in lecture. Recall that R is the radius of the hoop, ω is the angular velocity of rotation, and m is the mass of the bead that is constrained to be on the hoop as it rotates about the z-axis. We found that we could solve the constraints in terms of a single coordinate θ and that the Cartesian coordinates were given by x = −R sin(ωt)sinθ, y...
A tank, at rest at the origin of an x-y coordinate system, explodes into three pieces....
A tank, at rest at the origin of an x-y coordinate system, explodes into three pieces. Just after the explosion, one piece, mass of m, moves with the speed v in the negative x- direction, and a second piece, with mass m/2, moves with a speed vd at an angle of 30 degrees (down or -yaxis) with respect to the +x axis. The third piece with mass m/2 moves with speed vu at an angle (up or +y axis) of...
The electric potential in a region of space is given by V ( x,y,z ) =...
The electric potential in a region of space is given by V ( x,y,z ) = -x^2 + 2y^2 + 15. If a 5 Coulomb particle is placed at position (x,y,z)=(-2,-2,0), what is the magnitude and direction of the force it experiences?
question: A particle with charge 8.00×10−19 C is placed on the x axis in a region...
question: A particle with charge 8.00×10−19 C is placed on the x axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z direction. part A: The particle, initially at rest, is acted upon only by the electric force and moves from point a to point balong the x axis, increasing its kinetic energy by 1.60×10−18 J . In what direction and through what potential...
q.1.(a) The following system of linear equations has an infinite number of solutions x+y−25 z=3 x−5 ...
q.1.(a) The following system of linear equations has an infinite number of solutions x+y−25 z=3 x−5 y+165 z=0    4 x−14 y+465 z=3 Solve the system and find the solution in the form x(vector)=ta(vector)+b(vector)→, where t is a free parameter. When you write your solution below, however, only write the part a(vector=⎡⎣⎢ax ay az⎤⎦⎥ as a unit column vector with the first coordinate positive. Write the results accurate to the 3rd decimal place. ax = ay = az =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT