Dynamics

• Draw free-body and kinetic diagrams for plane motion of rigid bodies.
• Apply vector-description for plane motion of rigid bodies in inertial and non-inertial coordinate systems.
• State the general plane equations of motion for rigid bodies and systems of rigid bodies and determine linear and angular accelerations.
• Find center of gravity and mass moment of inertia for simple bodies.
• Use the principle of linear momentum conservation to solve simple 1D impact problems.
• Apply the principle of linear momentum conservation for rigid bodies and systems of particles.
• Apply the principle of angular momentum conservation for rigid bodies and systems of particles.
• Determine the natural frequency and damping ratio for systems with one degree-of-freedom.
• Find the response of damped and undamped systems with one degree-of-freedom subjected to a harmonic load.
• Determine work and power of external forces and couples.
• Apply work-energy relations for plane motion of rigid bodies.
• Use the energy method to set up the general equations of motion for particles and rigid bodies.

1D impact. Vector description of rigid body kinematics. Kinetic energy, linear and angular momentum for rigid bodies and systems of particles. General equations of motion. Work and power. Work-energy relations. Conservation principles for linear and angular momentum and energy. Vibrations of systems with one degree-of-freedom; undamped and damped free vibrations; forced vibrations, frequency response and resonance; energy methods.

62675/01901, Statics and particle dynamics.
Basic course in calculus and algebra.

Lectures, problem solving.

Section of Mechanical Technology
Mechanical Engineering: 3. semester