NivaarExam Prep

17-Phys-A1 Classical Mechanics

Worked solutions to 4 past sittings (2013–2018), 24 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

May 2018

  1. Question 1: Disk Rolling on a Free-Rolling Wedge
  2. Question 2: Two-Particle Rod with Perpendicular-Slide Supports (Lagrange Multiplier)
  3. Question 3: Crank-Slider-Slotted Rod Kinematics
  4. Question 4: Bullet-Block Impact on a Smooth Incline
  5. Question 5: Cable-Pulley Dependent Motion
  6. Question 6: Rigid Rod: Angular Acceleration After a Cable Snaps

May 2017

  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

May 2016

  1. Question 1: Sphere Rolling on a Free-to-Roll Wedge — Constraint Classification and the Lagrange-Multiplier Force
  2. Question 2: Particle on a Cylinder Under a Central Force — Hamiltonian and Frame Invariance
  3. Question 3: Crank-and-Slotted-Rod Mechanism — Relative-Motion Kinematics
  4. Question 4: Ball, Elastic Cord and Cart in a Weightless Environment — Impulse and Momentum
  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

December 2013

  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