16-Mex-A5 — Kinematics and Dynamics of Machines · National Exams, December 2019 · 3 hours, open book · Part A: Q1 compulsory, choose 3 of Q2–Q6; Part B: choose 1 of Q7/Q8. Every question is solved below for study purposes.
Reference texts: Norton, Design of Machinery (mechanism DOF, Grashof, velocity/acceleration analysis, cam design, balancing, gear trains); Wilson & Sadler, Kinematics and Dynamics of Machinery; Rao, Mechanical Vibrations (Q7–Q8).
Check: Several figures on this paper are hand-drawn, to-scale sketches with no printed dimensions (Q1a/b, Q2, Q3, Q6). Pin locations and link lengths were digitised directly from the printed figure and are reported. Absolute lengths for Q3 assume the stated "Scale 1:10" maps drawn millimetres to real millimetres (a labelling convention, not printed on the page); ratios and angular results (ω, α, Grashof class) do not depend on this assumption. The 8-gear train topology in Q6 (which planet meshes which sun/ring) is likewise read from the cross-section drawing; the specific combination adopted is the only one of the readings tried that gives a physically consistent (non locked) gear train.
