Cam Profile Analyzer

Smooth and differentiate a measured follower profile through five derivatives (position to crackle), overlay textbook cam laws (C-5 cycloidal, H-5 harmonic, P-1 8th-power) on the rise and fall segments, score each by R², and read the governing RPM at a 5000 m/s² acceleration limit.

Cam laws are named by family letter plus boundary-condition variant: H-n harmonic (H-1 through H-5), C-n cycloidal (C-1 through C-5), and P-n polynomial (P-1 8th-power and related 3-4-5 / 4-5-6-7 forms). Lower-numbered members (H-1, C-1) are the simplest single-segment motions; higher-numbered variants (H-5, C-5) add continuity through higher derivatives. Equations follow Shigley, Mischke & Budynas, Mechanical Engineering Design, 8th edition (McGraw-Hill).