Transverse velocity and real/imaginary parts?

Click For Summary
SUMMARY

The discussion centers on the challenge of deriving expressions for the transverse velocity components, v_x and v_y, from the real and imaginary parts of an equation presented in Classical Mechanics by John R. Taylor. Participants emphasize the importance of understanding the derivation process rather than relying solely on textbook solutions. The need for specific examples or references to the textbook content is highlighted to facilitate better assistance in solving the problem.

PREREQUISITES
  • Understanding of transverse velocity in mechanics
  • Familiarity with real and imaginary components in mathematical expressions
  • Basic knowledge of classical mechanics principles
  • Ability to interpret equations from Classical Mechanics by John R. Taylor
NEXT STEPS
  • Study the derivation of transverse velocity in Classical Mechanics
  • Learn how to separate real and imaginary parts of complex equations
  • Explore examples of velocity components in physics problems
  • Review the specific sections (2.5 and 2.7) in John R. Taylor's textbook for context
USEFUL FOR

Students enrolled in mechanics courses, particularly those struggling with the application of complex numbers in physics, and anyone seeking to deepen their understanding of transverse velocity in classical mechanics.

SpaceIsCool
Messages
6
Reaction score
1

Homework Statement



The transverse velocity of the particle in Sections 2.5 and 2.7 is contained in (2.77), since
WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
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



WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg


The Attempt at a Solution


[/B]
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.
 

Attachments

  • WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
    WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
    1 KB · Views: 662
  • WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
    WVnxXbWKNcyke16CnzTE91JN8hoJzAZv94LmycMPhIKYWNaGr0_5S1hho3X_ErVDHz1QqihTun8iosLDmMNkGcIgXo8fafOa.jpg
    1 KB · Views: 504
Physics news on Phys.org
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?
 
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.
 
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.
 

Similar threads

Replies
1
Views
2K
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
8K
  • · Replies 17 ·
Replies
17
Views
3K