NivaarExam PrepOfficial exam papers ↗

22-Mec-A2 Kinematics and Dynamics of Machines: December 2013

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

  1. Question 1 Six-bar function generator — velocities & accelerations
  2. Question 2 Cycloidal radial cam design
  3. Question 3 Compound planetary gear reduction
  4. Question 4 Shaking-force balancing of a four-bar
  5. Question 5 Bead on a spinning ring — natural frequency
  6. Question 6 Steady-state response of a 2-DOF system

Start with Question 1 →

Paper: National Examinations — 07-Mec-A2 Kinematics and Dynamics of Machines, December 2013. Open-book, 3-hour paper; answer FIVE of six questions, all of equal value (20 marks). Part A (mechanisms & machine dynamics, Q1–Q4) and Part B (mechanical vibration, Q5–Q6). All six questions are solved here.

Reference texts: R. L. Norton, Design of Machinery (6th ed., McGraw-Hill) — velocity/acceleration analysis, cams, gear trains, engine balancing; C. E. Wilson & J. P. Sadler, Kinematics and Dynamics of Machinery (3rd ed.); S. S. Rao, Mechanical Vibrations (6th ed., Pearson) — Part B; J. E. Shigley & C. R. Mischke, Mechanical Engineering Design.

Note on the figure-based questions. Q1 (six-bar) is a scaled graphical problem (“Scale 1:5”) with no printed dimensions; its link geometry is read from the drawing, so angular results carry a graphical tolerance of a few percent and the linear accelerations carry the 1:5 length calibration (±5 %). Q3 (planetary box) is solved from the kinematic topology inferred from the sectioned schematic. Both interpretations are stated explicitly with each answer.