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22-Mec-A2 Kinematics and Dynamics of Machines: May 2018

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

  1. Question 1 Mobility, skeleton notation and Grashof analysis
  2. Question 2 Velocity analysis of a six-bar mechanism
  3. Question 3 Radial cam design — minimum-velocity fall and pressure angle
  4. Question 4 Compound planetary gear train with two ring brakes
  5. Question 5 Inverted crank-slider — kinematics, shaking force, balancing
  6. Question 6 Plastic impact into a mass–spring–damper (Part B)
  7. Question 7 Lateral vibration of a two-mass shaft (Part B)

Start with Question 1 →

Reference texts (subject). R. L. Norton, Design of Machinery, 6th ed. (mobility Ch. 2, position/velocity Ch. 4–6, cams Ch. 8, epicyclic trains §9.6–9.9, 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: single-DOF transient Ch. 2–4, two-DOF Ch. 5).

Open-book, 3 hours. Question 1 (40 marks) is compulsory; candidates then choose three of Q2–Q5 (Part A) and one of Q6–Q7 (Part B). Every question and sub-part is solved in full below.