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22-Mec-A2 Kinematics and Dynamics of Machines: December 2017

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Six-bar punch mechanism — time ratio, instant centres, redesign
  2. Question 2 Inverted crank-slider — velocity analysis
  3. Question 3 Radial cam with flat-faced follower
  4. Question 4 Two-stage planetary gear train design
  5. Question 5 Inverted crank-slider — shaking force & balancing
  6. Question 6 Base-excited vibration of a mono-cycle model
  7. Question 7 Torsional vibration of a two-gear shaft

Start with Question 1 →

Paper: National Exams — December 2017 · 16-Mec-A2 Kinematics and Dynamics of Machines · 3 hours, open book · Answer five questions, at least one from Part B (Part A mechanisms & machine dynamics Q1–5, Part B mechanical vibration Q6–7). Marks: 20 each. All seven questions are solved here.

Reference texts (subject). R. L. Norton, Design of Machinery, 6th ed. (instant centres & Kennedy’s rule §6.3–6.4, cams Ch. 8, epicyclic trains §9.7–9.9, balancing Ch. 13); Uicker, Pennock & Shigley, Theory of Machines and Mechanisms, 5th ed.; C. E. Wilson & J. P. Sadler, Kinematics and Dynamics of Machinery, 3rd ed.; S. S. Rao, Mechanical Vibrations, 6th ed. (Part B: Ch. 3 base excitation, Ch. 6 & Ch. 9 multi-DOF / torsional).

Check (measured geometry). Questions 1 and 2 carry no printed dimensions — the exam instructs the candidate to scale every length off the drawings (1:6 for Q1, 1:10 for Q2). The joint coordinates used below were read from the printed figure of the figures; the resulting linear quantities are therefore accurate to roughly ±3–5 %. Scale-free results (time ratio, mobility, angular-velocity ratios, mode shapes) are unaffected.