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17-Phys-A1 Classical Mechanics: December 2013

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

  1. Question 1 Rolling Disk on an Incline — Constraint Classification and the Lagrange-Multiplier Force
  2. Question 2 Particle on a Cylindrical Surface — Hamiltonian Mechanics
  3. Question 3 Crank AB and Slotted Rod CD — Relative Motion in a Rotating Frame
  4. Question 4 Cart and Ball Coupled by an Elastic Cord — Impulse-Momentum in a Weightless Environment
  5. Question 5 Cable-Pulley System — Dependent Motion Analysis
  6. Question 6 Rod Released by a Snapped Cable — Rigid-Body Kinetics at the Instant of Release

Start with Question 1 →

Paper format. 98-Phys-A1 Classical Mechanics, National Exams December 2013 — a three-hour closed-book examination; one of two approved calculator models (Casio or Sharp) is permitted, plus a single 8.5″ × 11″ aid sheet. The cover page states that five (5) questions constitute a complete exam paper and that only the first five as they appear in the answer book are marked, and that each question is of equal value — so each of the six printed questions is worth 20 marks against a 100-mark paper. The candidate is invited to submit a clear statement of any assumptions made where a question is open to interpretation; this paper needs that licence in Questions 3 and 6, both flagged below in a Check box. The cover page also warns that most questions require an essay-format answer, where clarity and organisation carry marks. All six questions are worked here, because the set is a study resource rather than a timed attempt.

Reference texts. H. Goldstein, C. Poole and J. Safko, Classical Mechanics, 3rd ed. (Lagrange multipliers and constraint forces, holonomic versus nonholonomic constraints, Hamiltonian mechanics, cyclic coordinates and conservation laws); R. C. Hibbeler, Engineering Mechanics: Dynamics, 14th ed. (rolling without slipping, relative-motion analysis using rotating axes, dependent-motion pulley analysis, impulse and momentum for a system of particles, planar kinetics of a rigid body).