# [SOLVED]Definition of H in pulley diagram

#### dwsmith

##### Well-known member
Why can $H = \left(\ell - \frac{b}{\sin\theta}\right)$ where $\ell$ is the length of the rope. (everything is frictionless.)

#### Evgeny.Makarov

##### Well-known member
MHB Math Scholar
Why can $H = \left(\ell - \frac{b}{\sin\theta}\right)$ where $\ell$ is the length of the rope.
Because $\frac{b}{\sin\theta}$ is the length of the diagonal stretch of the rope.

#### dwsmith

##### Well-known member
Because $\frac{b}{\sin\theta}$ is the length of the diagonal stretch of the rope.
Due to all your help prior with tikz, I have been making pictures like this and better since last summer.

#### Evgeny.Makarov

##### Well-known member
MHB Math Scholar
Glad to hear that. The picture looks nice!

#### dwsmith

##### Well-known member
Glad to hear that. The picture looks nice!
If you check out the math notes section and look at the pdfs I created, you will some more Latex pictures I created from what I learned from you.