Transverse velocity and real/imaginary parts?

In summary: Hello,I could not find the page that had that information. I would be happy to try to find it and post it for you. Thanks.
  • #1
SpaceIsCool
6
1

Homework Statement



The transverse velocity of the particle in Sections 2.5 and 2.7 is contained in (2.77), since
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By taking the real and imaginary parts, find expressions for v_x and v_y separately. Based on these expressions describe the time dependence of the transverse velocity.

Homework Equations



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The Attempt at a Solution


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I really don't know how to start this problem. In my textbook, it starts to show a solution but the whole "real and imaginary parts" aspect of this problem is really throwing me off.
 

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    WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
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    WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
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  • #2
SpaceIsCool said:
The transverse velocity of the particle in Sections 2.5 and 2.7

Of what textbook?

SpaceIsCool said:
I really don't know how to start this problem.

Unfortunately, that's not an attempt at a solution. You need to make one. You say your textbook starts to show a solution: have you tried to work past it? Where specifically did you get stuck?
 
  • #3
PeterDonis said:
Of what textbook?
Unfortunately, that's not an attempt at a solution. You need to make one. You say your textbook starts to show a solution: have you tried to work past it? Where specifically did you get stuck?
Hello,
It doesn't really show a solution. It just talks about how to derive the equation given. I'm just not sure how to start this problem at all. I just started this Mechanics course and am feeling a bit out of depth. The textbook is Classical Mechanics by John R. Taylor.
 
  • #4
SpaceIsCool said:
It doesn't really show a solution. It just talks about how to derive the equation given. I'm just not sure how to start this problem at all. I just started this Mechanics course and am feeling a bit out of depth. The textbook is Classical Mechanics by John R. Taylor.
Can you post a PDF of the page or two that contains this? That would be a big help for folks who would like to help. You can use the UPLOAD button in the lower right of the Reply window to attach a PDF or JPEG file to your reply. Thanks.
 

1. What is transverse velocity?

Transverse velocity refers to the velocity of an object or particle in a direction perpendicular to its direction of motion. It is often used in physics and engineering to describe the motion of waves or particles.

2. How is transverse velocity calculated?

Transverse velocity can be calculated by dividing the distance traveled in the transverse direction by the time it takes to travel that distance. It can also be calculated using trigonometry and the angle of the transverse direction.

3. What is the significance of the real and imaginary parts in transverse velocity?

The real and imaginary parts of transverse velocity represent the different components of the velocity in the real and imaginary planes. The real part represents the velocity in the horizontal direction, while the imaginary part represents the velocity in the vertical direction.

4. How do the real and imaginary parts affect the overall transverse velocity?

The real and imaginary parts combine to give the total transverse velocity of an object or particle. The magnitude and direction of the transverse velocity can be determined by using the Pythagorean theorem and trigonometric functions to calculate the resulting vector.

5. What are some practical applications of understanding transverse velocity and its real/imaginary parts?

Transverse velocity and its real/imaginary parts are important in many fields, including optics, acoustics, and quantum mechanics. They are used to understand the behavior of waves, particles, and electromagnetic fields, and can help in designing and optimizing various technologies such as lasers, microphones, and MRI machines.

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