HUNTERTUTORING

Standard syllabus

Dynamics · Undergraduate · Engineering

Topics

Kinematics of particles

  • Rectilinear motion: position, velocity, and acceleration
  • Curvilinear motion in Cartesian coordinates
  • Normal-tangential (n-t) kinematic components
  • Polar coordinates for circular and general plane motion
  • Relative motion: translating and rotating reference frames
  • Constrained motion along paths and guides
  • Motion diagrams and graphical interpretation
  • Differentiation and integration of kinematic relationships
  • Projectile motion with drag neglected (standard model)
  • Angular kinematics: θ, ω, α for rotating bodies

Kinetics and energy methods

  • Newton's second law for particles in inertial frames
  • Equations of motion in rectangular, n-t, and polar forms
  • Work of a force and the work-energy principle
  • Kinetic energy and power for particles and systems
  • Conservative forces and potential energy
  • Conservation of mechanical energy applications
  • Principle of impulse and momentum for particles
  • Direct and oblique central impact of particles
  • Coefficient of restitution and impact problems
  • Systems of particles: center of mass motion

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