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22-Mec-A2 Kinematics and Dynamics of Machines: December 2014

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

  1. Question 1 Six-bar mechanism — instant centres & output angular velocity
  2. Question 2 Four-bar function generator — output velocity & acceleration
  3. Question 3 Compound planetary gear train — output speed
  4. Question 4 90° V-twin engine — primary shaking force
  5. Question 5 Spring–dashpot rigid-bar pendulum — damped free vibration
  6. Question 6 Three-degree-of-freedom system — modal analysis & forced response

Start with Question 1 →

National Exams, December 2014 — 07-Mec-A2, Kinematics and Dynamics of Machines. 3 hours, OPEN BOOK. Six questions of 20 marks each; candidates answer any FIVE. All SIX are solved in full below (Part A — mechanisms and machine dynamics, Q1–Q4; Part B — mechanical vibration, Q5–Q6).

Reference texts: R. L. Norton, Design of Machinery, 5th ed. (instant centres and velocity analysis, four-bar position/velocity/acceleration, planetary gear kinematics, engine balancing); S. S. Rao, Mechanical Vibrations, 6th ed. (single- and multi-degree-of-freedom free and forced response, modal analysis); J. E. Shigley & C. R. Mischke, Mechanical Engineering Design (epicyclic train-value cross-check).