EQ106 – Pure and Applied Mechanics

Objective

To gain the ability to visualize simple physical situations and the effects of forces and motion in three dimensions. To introduce basic concepts of mechanics and their application to the solution of Engineering problems.

Program

1. Vectors. Force systems. Torques and binaries.
2. Static equilibrium. Newton's first law.
3. Rigid bodies. Distributed forces. Centroid and center of gravity.
4. Structures and machines. Friction force.
5. Kinematics of particles.
6. Relative motion.
7. Tangent and normal coordinates. Radial and transversal coordinates.
8. Newton's second law. Equations of motion.
9. Angular momentum. Central forces.
10. Work and energy. Conservative forces. Impulse.
11. Systems of particles.
12. Kinematics of rigid bodies. Translation and rotation. Moment of inertia. Plane motion of the rigid body.

Bibliography

• Meriam, J. L. & Kraige, L. G. (1998). Engineering Mechanics, volume I: Statics and volume II: Dynamics, 4th edition (SI version), John Willey & Sons.
• Beer, F. P. & Johnston, E. R. (1996). Vector Mechanics for Engineers. 6th edition with SI units, two Volumes: Statics and Dynamics, McGraw-Hill.

Support Material

• Estática. (lecture notes, in Portuguese)
• Dinâmica. (lecture notes, in Portuguese)