Dynamics
Undergraduate · Engineering
Syllabus focus
Standard syllabus · STEM / applied
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
Billed in 15-minute increments (15-minute minimum, up to 4 hours). No subscription required.
$60.00 · 60 min · Undergraduate · Online ($60/hr)
Book through intake or schedule a session.
Topics typically covered
Standard syllabus
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
STEM / applied
Plane kinematics and kinetics of rigid bodies
- Absolute and relative velocity in plane mechanisms
- Instantaneous center of rotation (ICR) method
- Absolute and relative acceleration analysis
- Coriolis acceleration in rotating frames (intro)
- Mass moment of inertia and parallel-axis theorem
- Equations of planar motion: translation and rotation
- Work-energy for rigid bodies in plane motion
- Impulse-momentum for rigid bodies
- Rolling without slipping constraints
- Multi-body linkage and gear-train dynamics
Vibration intro and engineering applications
- Free vibration of single-degree-of-freedom systems
- Undamped and lightly damped harmonic response
- Base excitation and transmissibility (overview)
- Rotating imbalance and balancing concepts
- Vehicle acceleration and braking dynamics
- FE dynamics topic alignment and timed drills
- MATLAB/Simulink simulation of particle motion
- Sports and biomechanics particle models
- Robotics joint motion planning at kinematic level
- Design implications of dynamic loads on structures
Notes
Topics reflect common engineering syllabi at US colleges and universities. Exact order, depth, and applied emphasis vary by institution, department, and instructor.