Machine Mechanics Engineering & Social Sciences Program Fall 2019 Semester - Madrid

1. Introduction to Mechanics (student self-study)
1.1. Mechanics
1.2. Basic concepts
1.3. Particles and rigid bodies
1.4. System of Units
1.5. Kinematics of a Point
1.6. Definition of Velocity
1.7. Definition of Acceleration

2. Kinematics of Rigid Solids
2.1. Time-dependent orthoganol basis
2.2. Movement of a Rigid Solid
2.3. Instantaneous axis of rotation
2.4. Specific cases of general movement
2.5. Instrinsic frame of reference
2.6. Acceleration of a Rigid Solid
2.7. Relative movement
2.8. Euler angles
2.9. Recommended reading

3. Dynamics of Rigid Solids
3.1. Introduction. Dynamics of a particle
3.2. Newton¿s Laws
3.3. Principle of Angular momentum
3.4. Dynamics in non-inertial reference systems
3.5. Dynamics of a system of particles
3.6. Movement of a rigid solid about a fixed point
3.7. Gyroscopic movement
3.8. Movement of a rigid solid with no externally applied moments
3.9. Movement of a rigid solid on a fixed axis
3.10. Equation of movement
3.11. Calculation of reactions
3.12. Balancing of shafts

4. Introduction to kinematics for planar systems
4.1. Introduction
4.2. Constituent part of a mechanism
4.3. Mobility of a mechanism
4.4. Four-bar linkage (parellelogram)
4.5. Instantaneous centre of rotationKinematics of planar mechanisms

5. Kinematics of planar mechanisms
5.1. Introduction to planar mechanisms
5.2. Determination of the velocity
5.3. Velocity image (or polygon)
5.4. Determination of accelerations
5.5. Calculation of accelerations for isolated links
5.6. Relations between point accelerations in kinematic pairs
5.7. Acceleration image (or polygon)

6. Dynamics of planar mechanisms
6.1. Introduction
6.2. Static analysis
6.3. Dynamic analysis

7. Work and Energy. Friction forces. Performance
7.1. Work
7.2. Power
7.3. Kinetic Energy ¿ Work-energy Theorem
7.4. Conservative forces - Potential Energy
7.5. Conservation of energy
7.6. Conservation of energy of rigid solids