The equation for H in a pulley diagram is defined as H = (ℓ - (b/sinθ)), where ℓ represents the length of the rope and b is the horizontal distance. This relationship arises from the geometry of the system, specifically the diagonal stretch of the rope represented by (b/sinθ). The discussion emphasizes the frictionless nature of the setup, which simplifies the analysis of the forces involved.
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Because $\frac{b}{\sin\theta}$ is the length of the diagonal stretch of the rope.dwsmith said:Why can $H = \left(\ell - \frac{b}{\sin\theta}\right)$ where $\ell$ is the length of the rope.
Evgeny.Makarov said:Because $\frac{b}{\sin\theta}$ is the length of the diagonal stretch of the rope.
Evgeny.Makarov said:Glad to hear that. The picture looks nice!