Course Details

1. Formulate and solve engineering problems regarding rectilinear, dependent and angular motion. Identify the difference between force and acceleration and implement Newton’s 2nd law.
2. Use the principles work and energy, impulse and momentum to formulate and solve problems in dynamics. Formulate and solve problems involving impact
3. Explain the concepts of angular velocity, absolute and relative velocity. Apply the concepts of energy conservation to the case of rigid bodies in two and three dimensions. Apply force balance, linear momentum and angular momentum for rigid bodies.
4. Describe the effect of spring, mass/inertia and damping elements on the behaviour of dynamic systems. Use appropriate mathematical models to describe them. Apply Newton’s second law of motion as well as energy methods to formulate the equations of motion of one-degree-of-freedom systems. Describe harmonic motion
5. Perform dynamics experiments and apply equations for data analysis and comparison with analytical solution and experimental data
6. Use Matlab to solve engineering dynamics problems.

Kinematics of particles: Rectilinear motion, Cartesian motion, Polar, cylindrical and path coordinates, motion of a projectile, relative motion

Kinetics of particles: Cartesian and polar dynamics, path dynamics, linear and angular momentum, impulse, impact

Energy of particles: Work, kinetic energy, potential energy, conservation, power

Multi-particle systems: Force balance and linear momentum, angular momentum

Rigid-body kinematics: Work and energy, relative velocities, instantaneous centers, rotating frames, acceleration, relative motion

Rigid-body kinetics: Fixed-point rotation, curvilinear motion, general motion, momentum of planar bodies, work/energy of planar bodies

Three dimensional dynamics: Kinematics, moments of inertia, equations of motion

Vibrations: Undamped free vibration, energy methods, undamped forced vibration, viscous damped free vibration, viscous damped forced vibration

Laboratory Work (Experiments and computer laboratory): Small group experiments performed with the use of experimental apparatus.

“Experiment of crank and connecting rod apparatus”

“Computer programming aspects of MATLAB and application of the Experiment of crank and connecting rod apparatus”

 “Experiment for radius of gyration”

 “Experiment of trifillar suspension of a rigid body”

 “Experiment for the determination of the moment of inertia of a flywheel”

 “Experiment of simple harmonic motion”

 “Undamped free vibration computer programming and calculations with MATLAB”

• Russell Hibbeler, Engineering Mechanics: Statics and Dynamics, Prentice Hall, 12th edition, 2009.
• Tongue, Benson H., Sheppard, Sheri D., "Dynamics: Analysis and Design of Systems in Motion," John Wiley & Sons, Inc., 2005.
• J. L. Meriam, L. G. Kraige, Engineering Mechanics: Dynamics, John Wiley & Sons, 5th edition, 2002.
• Anthony Bedford, Wallace T. Fowler, Engineering Mechanics: Dynamics, Prentice Hall, 3rd edition, 2001.
• A. Biran, Moshe Breiner, Matlab for Engineers, Prentice Hall, 2002