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17-Phys-A1 Classical Mechanics: May 2017

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

  1. Question 1 Sphere Rolling on a Free-to-Roll Wedge — Constraint Classification and the Lagrange-Multiplier Force
  2. Question 2 Central-Force Particle Under a Fixed Rotation — Lagrangian Invariance and Noether's Theorem
  3. Question 3 Collar on a Rotating Semicircular Rod — Absolute Velocity and Acceleration via a Rotating Frame
  4. Question 4 Pendulum Impact on an Inclined Surface — Impulse-Momentum and Coefficient of Restitution
  5. Question 5 Torque-Free Rigid-Body Rotation — Euler's Equations After an Impulsive Moment
  6. Question 6 Rod Released from a Spring-and-Cable Support — Free Motion After Sudden Release

Start with Question 1 →

98-Phys-A1, Classical Mechanics — National Exam, May 2017. 3-hour closed-book exam; FIVE (5) questions constitute a complete paper and only the first five questions as they appear in a candidate's answer book are marked, each of equal value. All six printed questions are solved below as a complete study resource.

Reference texts: Goldstein, Classical Mechanics (3rd ed.) — Lagrangian mechanics, constraints, cyclic coordinates and Noether's theorem, rigid-body rotation (Euler's equations); Hibbeler, Engineering Mechanics: Dynamics (14th ed.) — relative-motion kinematics of rigid bodies, impulse and momentum, impact.