Transformations from the Argand plane

Click For Summary
The discussion focuses on solving a problem related to transformations in the Argand plane. The user seeks guidance on how to manipulate the equation after making z the subject. Another participant suggests substituting w = u + iv into the equation and equating real and imaginary parts. This approach will help in expressing x and y as functions of u and v. The conversation emphasizes the importance of breaking down the equation into its components for clarity in solving the problem.
nokia8650
Messages
216
Reaction score
0
Last edited by a moderator:
Physics news on Phys.org
Put w=u+iv into that equation and equate real and imaginary parts to find x and y as functions of u and v.
 
Ahh yes, thank you very much!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K