Editing Openai/68fceef0-7248-8013-bf5d-581461dec5bc (section)

=== 1. Breakaway (static) decision - Compute available driving shaft torque from weights (accounts for Wp − Ws − W_asm/4 and r_d). - Compare against combined static thresholds (τs_top + τs_bot) after applying the angle/tension percentage (below). - Output: Starts? Yes/No (example case like 1.000 lb vs 0.999 lb at horizontal should show No if the static margin ≤ 0). ===
# Continuation (running) decision - Apply running efficiencies (η_top × η_bot) and the angle/tension percentage. - Output: Continues to end? Yes/No (constant inputs → if Yes at start, stays Yes).
# Torque readouts (per pinion) - Top pinion: - Available torque % used by static losses (τs_top as % of available). - Running loss % (derived from η_top). - Bottom pinion: same two percentages. - Also show net shaft torque after losses (lb·in).
# Tension readouts for the three line segments + verticals (as % “angle loss”) We provide easy-to-understand percentage penalties from geometry (no capstan friction): - Segment A: Top vertical → top pulley → top drum line. - Segment B: Drum-to-drum line (between pinion centers; fixed 4 in apart; angle depends on arm positions). - Segment C: Bottom drum → bottom pulley → bottom vertical. For each segment we compute an angle deviation from its reference direction and report: - Angle loss % = 100 × (1 − cos|deviation|) (Intuition: the more the line is “bent” away from its reference, the less of its pull contributes to effective motion; you get a single clean % to interpret.) We also show a combined Angle/Tension overall % (compounded from A, B, C) used in the breakaway/continuation checks.
# Line tension (lbf) - T_top_line, T_mid_line, T_bot_line after applying the simple running loss and angle factors. - Displayed plainly so the engineer can sanity-check.
# Pinion/rack sizing results (from Module or DP) - Pinion pitch diameter (in), radius (in). - Rack circular pitch (in/tooth), rack teeth in L, leftover length (in). - (Results only; each block has a hyperlink “Verify / Learn the math”.)