Deriving Equation #3: (b/2)θ=L(2θ)

  • Thread starter Thread starter Brit412
  • Start date Start date
  • Tags Tags
    deriving
Click For Summary

Homework Help Overview

The discussion revolves around deriving equation #3 using equations #1 and #2, which involve angular displacement and linear displacement in a geometric context.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the idea of setting equations #1 and #2 equal to each other and question the cancellation of theta. There is also a suggestion to divide one equation by the other to find a relationship.

Discussion Status

The discussion is active, with participants providing guidance on how to approach the problem through division of the equations. However, there is no explicit consensus on the method or the implications of cancelling terms.

Contextual Notes

Participants are navigating the relationships between the equations and the assumptions regarding the variables involved, particularly the role of theta in the derivation process.

Brit412
Messages
24
Reaction score
0

Homework Statement


Using equations #1 and #2 to derive equation #3

Homework Equations


#1- ∆x = (b/2)theta
#2- ∆z= L (2theta)
#3- ∆x= ∆z b/4L


The Attempt at a Solution


Now I set equations #1 and #2 equal to each other, but I'm not sure how the thetas end up cancelling or if I'm even supposed to set them equal to each other in the first place. HELP please!
 
Physics news on Phys.org
Just divide one equation by the other.
 
Does that mean that I divide (b/2)theta by L(2theta)?
 
Yes, you divide the right-hand sides of the two equations, and the result must equal the ratio of the left-hand sides of the same two equations.
 

Similar threads

Replies
1
Views
1K
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K